SAITO KIMIAKI 齊藤公明

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Saito Kimiaki 齊藤公明

SAITO Kimiaki 齊藤公明

齋藤公明サイトウキミアキ

斎藤公明サイトウキミアキ

斉藤公明サイトウキミアキ

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Researcher Number	90195983
Other IDs
External Links
Affiliation (Current)	2025: 名城大学, 理工学部, 教授
Affiliation (based on the past Project Information) *help	2019 – 2023: 名城大学, 理工学部, 教授 1999 – 2017: 名城大学, 理工学部, 教授 1997 – 1999: 名城大学, 理工学部, 助教授 1995: 名城大学, 理工学部, 助教授 1994: 名城大学, 理工学部, 講師 1990 – 1991: 名城大学, 理工学部, 講師
Review Section/Research Field	Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Basic Section 12010:Basic analysis-related / Basic Section 12020:Mathematical analysis-related Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Basic analysis / 解析学 / 代数学・幾何学 / Global analysis / General mathematics (including Probability theory/Statistical mathematics) / Algebra
Keywords	Principal Investigator 無限次元確率過程 / 無限次元ラプラシアン / 無限次元確率解析 / 量子確率過程 / 量子情報論 / ホワイトノイズ理論 / 超汎関数空間 / 超汎関数空間論 / 数理ファイナンス / ホワイトノイズ … More / 量子確率論 / 力学系理論 / 量子情報解析 / フラクショナルブラウン運動 / 確率解析 / Fractional Brownian motion / ファインマン経路積分 / Levy Laplacian / レヴィ・ラプラシアン / Infinite Dimensional Stochastic Process / 分枝過程 / 無限次元ラプラス作用素 / ファイナンス / 汎関数微分方程式 / 無限次元解析 / 量子化作用素論 / 確率過程論 / マルチンゲール理論 / 高次チェザロ和 / 超関数空間 / Functional differential equation / Quantum Information Analysis / Finance / Infinite dimensional Laplacians / Quantum Information Theory / Quantization / Infinite dimensional stochastic processes / レヴィ過程 / 確率過程量子化法 / 量子化 / Schroedinger equation / White Noise / Information Analysis / Quantum stochastic process / Feynman path integral / Infinite dimensional stochastic process / シュレディンガー方程式 / 情報解析 / Quantum Information / Quantum Stochastic Process / White Noise Theory / Infinite Dimensional Stochastic Analysis / 加法過程 / Levy's Laplacian / レヴィ・テプラシアン / Poisson Noise Analysis / The Levy Laplacian / White Noise Analysis / Infinite Dimensional Analysis / ポアソンノイズ解析 / レヴィのラプラス作用素 / ホワイトノイズ解析 / エルゴード理論 / 符号力学系 / 無限次元ブラウン運動の積 / 超函数の積 / 量子ホワイトノイズ / 数論的確率論 / 確率論的数論 / 関数解析 / チェサロヒルベルト空間 / ホワイトノイズの高階微分 / レヴィ・ラプラシアンの一般化 / Exotic Laplacian / 確率過程構成法 / 量子ラプラシアン … More Except Principal Investigator 量子確率論 / 量子ホワイトノイズ / 量子中心極限定理 / 散逸量子系 / 量子分解 / ホワイトノイズ理論 / ホワイトノイズ解析 / Levy Laplacian / Quantum central limit theorem / Quantum decomposition / Quantum white noise / Quantum probability / White noise theory / ホワイトノイズ / 確率解析 / 直交多項式 / 無限次元解析 / レヴィラプラシアン / エルゴード理論 / ディオファンタス近似 / 超関数 / 偏微分方程式 / Spectral analysis of graphs / Dissipative quantum system / グラフのスペクトル / レヴィ・ラプラシアン / Quantum dissipation / Complex spectrum / 伊藤公式 / 複素スペクトル / Invariant differential operators / Eigenfuctions of Laplacian / Cauchy integral on the classical domain / Poisson integral on the classical domain / global analysis / functional analysis / homogeneous space / unitary representations / 関数解析 / 微分幾何 / 多様体 / 表現論 / リー群 / コーシー積分 / ポアッソン積分 / ラプラシアン / 不変微分作用素 / シンプレクティック構造 / 調和解析 / 等質空間 / リー群のユニタリ表現 / Simultaneous approximation / Diophantine approsimation / ergadic theory / 同時近似 / Quantum Information / Infinite Dimensional Laplacians / Quantum White Noise / White Noise / 量子コンピュータ / 量子情報論 / 無限次元ラプラシアン / 直行多項式系 / 特殊関数 / 直交多項式系 / 解析学 / 白色雑音系 / 母関数 / カオス / 数理物理 / 白色雑音 / 確率論 / フーリエ・ガウス変換 / フーリエ-ガウス変換 / 複雑ネットワーク / 非平衡熱場理論 / 中心極限定理 / 量子情報 / 酔歩の理論 / 群の表現論 / 無限次元調和解析 / ブラウン運動 / ヤンミルズ方程式 / 量子伊藤公式 / 量子論の確率極限 / 量子確率過程 / {2x(1-x)}である。そしてそれを計算すると、不変測度はσ-finiteでありnormalizeすることができないためLagariesの方法では解決できないことがわかった。現在、Oseledecの用いた方法(multipricative ergodic theoremの応用)を試みている。これは従来我々が扱ってきたものと異なっているので今後はこの解析に向けて力を尽くしたい。 / Lagariesはこのような整数がLebesgue measure1で存在するときのδの上限を示した。そこで、我々が既に得ている変換(それはエルゴード理論におけるnatural extensionを構成することにより一様分布論でいうところのcanonical formを導く変換である)の不変速度の密度関数を計算した。密度関数は1 / 準惰円性 / 熱核法 / 超局所解析 / 整数 / 保形関数 / ゼータ関数 / 熱方程式 / 有理点 / モ-デル・ヴェイユ群 / 楕円曲線 / ト-ラス埋込み / コホモロジ- / 漸近展開 / ヤング図形 / P進数 / 無限次元行列式 / 差分方程式 / qアナログ Less

New developments on quantum information analysis by a stochastic analysis based on theory of spaces consisting of generalized functionalsPrincipal Investigator
- Principal Investigator
  
  齊藤公明
- Project Period (FY)
  2023 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Meijo University
New developments in infinite dimensional stochastic analysis based on constructions of spaces of generalized functionals and applications to quantum information theoryPrincipal Investigator
- Principal Investigator
  
  Saito Kimiaki
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Meijo University
New development of theory of generalized functionals, an infinite dimensional stochastic analysis and applications to theory of quantum dynamical systemPrincipal Investigator
- Principal Investigator
  
  Saito Kimiaki
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Meijo University
New developments on quantum information theory by an infinite dimensional stochastic analysis and applications to dynamical system theoryPrincipal Investigator
- Principal Investigator
  
  SAITO KIMIAKI
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Meijo University
Generalizations of infinite dimensional Laplacians, construction methods of stochastic processes and developments in quantum information analysisPrincipal Investigator
- Principal Investigator
  
  SAITO Kimiaki
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Meijo University
Quantum Probability Theory and Infinite Dimensional Analysis
- Principal Investigator
  
  OBATA Nobuaki
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Research on chaotic behavior of white noise
- Principal Investigator
  
  KUBO Izumi
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hiroshima University
Constructive research on infinite dimensional stochastic Processes and its applications to quantum information analysisPrincipal Investigator
- Principal Investigator
  
  SAITO Kimiaki
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Meijo University
Developments on Quantization and Quantum Information Analysis in terms of Infinite Dimensional Stochastic AnalysisPrincipal Investigator
- Principal Investigator
  
  SAITO Kimiaki
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Meijo University
Nonlinear theory of quantum white noise and its non-Gaussian extension
- Principal Investigator
  
  OBATA Nobuaki
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Infinite Dimensional Stochastic Processes and the Information AnalysisPrincipal Investigator
- Principal Investigator
  
  SAITO Kimiaki
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Meijo University
新しい統計科学としての量子情報論
- Principal Investigator
  
  尾畑伸明
- Project Period (FY)
  2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tohoku University
Quantum white noise and nonlinear infinite dimensional analysis
- Principal Investigator
  
  OBATA Nobuaki
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
  Nagoya University
Infinite Dimensional Stochastic Analysis and its ApplicationsPrincipal Investigator
- Principal Investigator
  
  SAITO Kimiaki
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Meijo University
無限次元調和解析
- Principal Investigator
  
  平井武
- Project Period (FY)
  1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
White Noise Analysis and its Applications
- Principal Investigator
  
  HIDA Takeyuki
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Meijo University
The approach to number theory by erdadic theory
- Principal Investigator
  
  HARA-MIMACHI Yuko
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Meijo University
Representations of Lie groups
- Principal Investigator
  
  OKAMOTO Kiyosato
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Meijo University
無限次元解析と量子確率
- Principal Investigator
  
  ACCARDI Luigi
- Project Period (FY)
  1997
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nagoya University
Infinite Dimensional Analysis and its ApplicationsPrincipal Investigator
- Principal Investigator
  
  SAITO Kimiaki
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Meijo University
偏微分方程式の超局所解析の研究
- Principal Investigator
  
  松澤忠人
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Meijo University
数論とエルゴード理論
- Principal Investigator
  
  三町祐子
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Meijo University
4次以上のメタプレクティックゼータ関数
- Principal Investigator
  
  KUBOTA Tomio
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meijo University
楕円曲線の数論的研究
- Principal Investigator
  
  硲野敏博
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Meijo University
超関数論と偏微分方程式論
- Principal Investigator
  
  MATSUZAWA Tadato
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Meijo University
qアナログ理論の研究
- Principal Investigator
  
  加藤芳文
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Meijo University

[Book] 工学系の基礎　確率・統計15週2017
- Author(s)
  原祐子・齊藤公明・内村佳典
- Total Pages
  132
- Publisher
  学術図書株式会社
- Data Source
  KAKENHI-PROJECT-15K04940
[Book] 工学系の基礎　確率・統計15週2016
- Author(s)
  原祐子, 齊藤公明, 内村佳典
- Total Pages
  100
- Publisher
  学術図書株式会社
- Data Source
  KAKENHI-PROJECT-15K04940
[Book] Quantum Information V2006
- Author(s)
  T.Hida, K.Saito
- Total Pages
  217
- Publisher
  World Scientific Publishing Co.
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540136
[Book] Infinite Dimensional Harmonic Analysis III2005
- Author(s)
  H.Heyer, T.Hirai, T.Kawazoe, K.Saito
- Total Pages
  351
- Publisher
  World Scientific Publishing Co.
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540136
[Book] Quantum Information V2005
- Author(s)
  T.Hida, K.Saito
- Total Pages
  217
- Publisher
  World Scientific
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540136
[Book] Infinite Dimensional Harmonic Analysis III2005
- Author(s)
  H.Heyer, T.Hirai, T.Kawazoe, K.Saito (eds.)
- Total Pages
  351
- Publisher
  World Scientific
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Book] Infinite Dimensional Harmonic Analysis III2005
- Author(s)
  H.Heyer, T.Hirai, T.Kawazoe, K.Saito
- Total Pages
  351
- Publisher
  World Scientific
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540136
[Book] Quantum Information and Complexity Vol.12004
- Author(s)
  T.Hida, K.Saito, Si Si
- Publisher
  World Scientific Pub. Co.
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540141
[Book] Quantum Information and Complexity2004
- Author(s)
  T.Hida, K.Saito, Si Si
- Total Pages
  456
- Publisher
  World Scientific Publishing Co.
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540141
[Book] Quantum Information and Complexity, Vol.12004
- Author(s)
  T.Hida, K.Saito, Si Si
- Total Pages
  456
- Publisher
  World Scientific Publishing Co.
- Data Source
  KAKENHI-PROJECT-15540141
[Journal Article] Domain of Exotic Laplacian Constructed by Wiener Integrals of Exponential White Noise Distributions2022
- Author(s)
  Luigi Accardi , Un Cig Ji , Kimiaki Saito
- Journal Title
  
  Journal of Stochastic Analysis
  
  Volume: 3 Issue: 3 Pages: 1-20
- DOI
  10.31390/josa.3.3.01
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03592
[Journal Article] The Levy Laplacian and Stochastic Processes2021
- Author(s)
  Kimiaki Saito
- Journal Title
  
  Infinite dimensional harmonic analysis（KURENAI 登録2021）
  
  Volume: ２ Pages: 306-318
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03592
[Journal Article] White noise delta functions and infinite-dimensional Laplacians2020
- Author(s)
  Luigi Accardi, Ai Hasegawa, Un Cig Ji, Kimiaki Saito
- Journal Title
  
  Infinite Dimensional Analysis, Quantum Probability and Related Topics
  
  Volume: 23 Issue: 04 Pages: 2050028-2050028
- DOI
  10.1142/s0219025720500289
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03592
[Journal Article] Near-martingale property of anticipating stochastic integration2017
- Author(s)
  Chii-Ruey Hwang, Hui-Hsiung Kuo, Kimiaki Saito, Jiayu Zhai
- Journal Title
  
  Communications on Stochastic Analysis
  
  Volume: 11 Pages: 491-504
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04940
[Journal Article] Analytic characterizations of infinite dimensional distributions2017
- Author(s)
  Luigi Accardi, Un Cig Ji, Kimiaki Saito
- Journal Title
  
  Infinite Dimensional Analysis, Quantum Probability and Related Topics
  
  Volume: 20 Issue: 02 Pages: 1-13
- DOI
  10.1142/s0219025717500072
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04940
[Journal Article] Higher order multi-dimensional extensions of Cesaro Theorem2015
- Author(s)
  Luigi Accardi, Un Cig Ji, Kimiaki Saito
- Journal Title
  
  Infinite Dimensional Analysis, Quantum Probability and Related Topics
  
  Volume: 18 Issue: 04 Pages: 1550030-1550030
- DOI
  10.1142/s0219025715500307
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04940
[Journal Article] Asymptotic behavior of the Bernoulli type Galton–Watson branching process with immigration2015
- Author(s)
  Kimiaki Saito, Yoshinori Uchimura
- Journal Title
  
  Random Operators and Stochastic Equations
  
  Volume: 23 Pages: 1-10
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540149
[Journal Article] DOOB'S DECOMPOSITION THEOREM FOR NEAR-SUBMARTINGALES2015
- Author(s)
  Hui-Hsiung Kuo, Kimiaki Saito
- Journal Title
  
  Communications on Stochastic Analysis
  
  Volume: 9 Pages: 467-476
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04940
[Journal Article] Asymptotic Behavior of the Bernoulli Type Galton-Watson Branching Process with Immigration2015
- Author(s)
  Yosinori Uchimura, Kimiaki Saito
- Journal Title
  
  Random Operators and Stochastic Equations
  
  Volume: 23 Pages: 1-12
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04940
[Journal Article] Powers of an infinite dimensional Brownian motion associated with the product of distributions2014
- Author(s)
  Kimiaki Saito, Takashi Shimada
- Journal Title
  
  Communications on Stochastic Analysis
  
  Volume: 8 Pages: 343-364
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24540149
[Journal Article] The exotic (Higher order Levy) Laplacians generate the Markov processes given by distribution derivatives of white noise2013
- Author(s)
  L.Accardi, U.C.Ji,K.Saito
- Journal Title
  
  Publication, Centro Vito Volterra
  
  Volume: 637 Pages: 1-25
- Data Source
  KAKENHI-PROJECT-24540149
[Journal Article] Infinite dimensional Laplacians associated with derivatives of white noise2013
- Author(s)
  Kimiaki Saito;
- Journal Title
  
  Quantum Probability and White Noise Analysis
  
  Volume: Vol. 29 Pages: 233-248
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540149
[Journal Article] The exotic Laplacians generate the Markov processes given by distribution derivatives of white noise2013
- Author(s)
  Luigi Accardi, Un Cig Ji, Kimiaki Saito
- Journal Title
  
  Infinite Dimensional Analysis, Quantum Probability and Related Topics
  
  Volume: Vol. 16 Issue: 03 Pages: 1-26
- DOI
  10.1142/s0219025713500203
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540149
[Journal Article] Infinite dimensional Laplacians associated with derivatives of white noise2013
- Author(s)
  Kimiaki Saito;
- Journal Title
  
  Quantum Probability and Related Topics
  
  Volume: 29 Pages: 233-248
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540149
[Journal Article] Limiting distributions of Galton-Watson branching processes with immigration2012
- Author(s)
  Yoshinori Uchimura, Kimiaki Saito;
- Journal Title
  
  Communications on Stochastic Analysis
  
  Volume: 6 Pages: 282-295
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540149
[Journal Article] Infinite dimensional Laplacians associated with derivatives of white noise2012
- Author(s)
  K.Saito
- Journal Title
  
  QP-PQ Quantum Probability and White Noise Analysis
  
  Volume: (掲載予定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540151
[Journal Article] Stationary Distributions of the Bernoulli Type Galton-Watson Branching Process with Immigration2011
- Author(s)
  Y. Uchimura, K. Saito
- Journal Title
  
  Communications on Stochastic Analysis
  
  Volume: Vol.5, No.3 Pages: 457-480
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540151
[Journal Article] A stationary distribution of the Bernoulli type Galton-Watson branching process with immigration2011
- Author(s)
  K.Saito (with Y.Uchimura)
- Journal Title
  
  Communications on Stochastic Analysis
  
  Volume: Vol.5(掲載予定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540151
[Journal Article] A stationary distribution of the Bernoulli type Galton-Watson branchingprocess with immigration2011
- Author(s)
  K.Saito (with Y.Uchimura)
- Journal Title
  
  Communications on stochastic Analysis
  
  Volume: Vol.5 Pages: 457-480
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540151
[Journal Article] Exotic Laplacians and derivatives of white noise2011
- Author(s)
  L. Accardi, U. C. Ji, K. Saito
- Journal Title
  
  Infinite Dim. Anal., Quantum Prob. and Related Topics
  
  Volume: Vol.14 Pages: 1-14
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540151
[Journal Article] IMPROVEMENT OF HOWARD'S POLICY ITERATION METHOD FOR APPLICATION TO POLICIES MODELED BY PERIODIC, MARKOV CHAINS2011
- Author(s)
  K.Saito (with Y.Uchimura)
- Journal Title
  
  Far East Journal of Mathematical Sciences
  
  Volume: Vol.57 Pages: 113-132
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540151
[Journal Article] Exotic Laplacians and derivatives of white noise2011
- Author(s)
  K.Saito (with L.Accardi, U.C.Ji,)
- Journal Title
  
  Infinite Dimensional Analysis, Quantum Probability and Related Topics
  
  Volume: Vol.14 Pages: 1-14
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540151
[Journal Article] Improvement of Howard's policy iteration method for application to policies modeled by periodic Markov chains2011
- Author(s)
  Y. Uchimura, K. Saito
- Journal Title
  
  Far East Journal of Mathematical Sciences
  
  Volume: Vol.57 Pages: 113-132
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540151
[Journal Article] A characterization of the geometric Brownian motion in terms of infinite dimensional Laplacians2011
- Author(s)
  I. Kitagawa, K. Saito, A. H. Tsoi
- Journal Title
  
  Random Operators and Stochastic Equations
  
  Volume: Vol.19 Pages: 91-103
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540151
[Journal Article] A characterization of the geometric Brownian motion in terms of infinite dimensional Laplacians2010
- Author(s)
  Issei Kitagawa, Kimiaki Saito, Allanus H. Tsoi
- Journal Title
  
  Random Operators and Stochastic Equations 19
  
  Pages: 91-103
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540145
[Journal Article] Exotic Laplacians and associated stochastic processes.2009
- Author(s)
  Luigi Accardi, Un Cig Ji, Kimiaki Saito
- Journal Title
  
  Infin.Dimens.Anal.Quantum Probab.Relat.Top. 12
  
  Pages: 1-19
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540145
[Journal Article] A Gauss-Poisson correspondence and the Levy Laplacian2009
- Author(s)
  K. Saito
- Journal Title
  
  Interdisciplinary Information Sciences
  
  Volume: Vol.15, No.3 Pages: 431-440
- NAID
  120001943155
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540151
[Journal Article] A Gauss-Poisson correspondence and the Levy Laplacian.2009
- Author(s)
  Kimiaki Saito
- Journal Title
  
  Interdiscip.Inform.Sci. 15
  
  Pages: 431-440
- NAID
  120001943155
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540145
[Journal Article] A Gauss-Poisson correspondence and the Levy Laplacian2009
- Author(s)
  K.Saito
- Journal Title
  
  Interdisciplinary Information Sciences Vol.15
  
  Pages: 431-440
- NAID
  120001943155
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540151
[Journal Article] Exotic Laplacians and associated stochastic processes2009
- Author(s)
  K.Saito(with L.Accardi, U.C.Ji,)
- Journal Title
  
  Infinite Dim.Anal., Quantum Prob.and Related Topics Vol.12
  
  Pages: 1-19
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540151
[Journal Article] Exotic Laplacians and associated stochastic processes2009
- Author(s)
  L. Accardi, U. C. Ji and K. Saito
- Journal Title
  
  Infinite Dimensional Analysis, QuantumProbability and Related Topics
  
  Volume: Vol.12, No.1 Pages: 1-19
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540151
[Journal Article] Exotic Laplacians and associated stochastic processes2009
- Author(s)
  L. Accardi, U. C. Ji, K. Saito
- Journal Title
  
  Infinite Dimensional Analysis, Quantum Probability and Related Topics Vol. 12(To appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540201
[Journal Article] A Gauss-Poisson correspondence and the Levy Laplacian, to appear in Interdisciplinary2009
- Author(s)
  K. Saito
- Journal Title
  
  Information Sciences
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540201
[Journal Article] Infinite dimensional stochastic processes associated with the Exotic Laplacians2008
- Author(s)
  K. Saito
- Journal Title
  
  RIMS Kokyuroku'Non-Commutative Analysis and Micro-Macro Duality' No. 1609
  
  Pages: 49-62
- Data Source
  KAKENHI-PROJECT-19540201
[Journal Article] An infinite dimensional Fourier-Mehler transform and the Levy Laplacian2008
- Author(s)
  K. Saito, K. Sakabe
- Journal Title
  
  QP-PQ: Quantum Probability and White Noise Analysis Vol.21
  
  Pages: 149-160
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540201
[Journal Article] An infinite dimensional Fourier-Mehler transform and the Levy Laplacian.2008
- Author(s)
  Kimiaki Saito, Kazuyoshi Sakabe
- Journal Title
  
  QPPQ : Quantum Probab.White Noise Anal. 22
  
  Pages: 149-160
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540145
[Journal Article] An infinite dimensional Fourier-Mehler transform andthe Levy Laplacian2008
- Author(s)
  K. Saito, K. Sakabe
- Journal Title
  
  QP-PQ : Quantum Probability and White Noise Analysis Vol.22
  
  Pages: 149-160
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540201
[Journal Article] Exotic Laplacians and associated stochastic processes, Infinite Dimensional Analysis2008
- Author(s)
  L. Accardi, U.C.Ji, K. Saito
- Journal Title
  
  Quantum Probability and Related Topics Vol.10, No.2
  
  Pages: 1-19
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540201
[Journal Article] A Gauss-Poisson Correspondence and infinite dimensional Laplacians2008
- Author(s)
  K. Saito
- Journal Title
  
  Far East Journal of Mathematical Sciences Vol. 31
  
  Pages: 31-47
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540201
[Journal Article] A Gauss-Poisson correspondence and infinite dimensional Laplacians2008
- Author(s)
  K. Saito
- Journal Title
  
  Far East Journal of Mathematical Sciences Vol.31
  
  Pages: 31-47
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540201
[Journal Article] Infinite dimensional stochastic processes associated with the exotic Laplacians2008
- Author(s)
  Kimiaki Saito
- Journal Title
  
  数理解析研究所講究録 1609
  
  Pages: 49-62
- Data Source
  KAKENHI-PROJECT-20540145
[Journal Article] A Gauss-Poisson correspondence and infinite dimensional Laplacians.2008
- Author(s)
  Kimiaki Saito, Kazuyuki Sakabe, Kazumasa Hirose
- Journal Title
  
  Far East J.Math.Sci.(FJMS) 31
  
  Pages: 31-47
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540145
[Journal Article] A similarity between the Gross Laplacian and the Levy Laplacian2007
- Author(s)
  U. C. Ji, K. Saito
- Journal Title
  
  Infinite Dimensional Analysis, Quantum Probability and Related Topics Vol.10, No.2
  
  Pages: 261-276
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540201
[Journal Article] Quantum Stochastic Process associated with Quantum Levy Laplacian2007
- Author(s)
  K.Saito (with U.C.Ji, H.Ouerdiane)
- Journal Title
  
  Communications on Stochastic Analysis Vol.1, No.2(To appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540136
[Journal Article] A similarity between the Gross Laplacian and the Levy Laplacian, Infinite Dimensional Analysis2007
- Author(s)
  U.C. Ji, K. Saito
- Journal Title
  
  Quantum Probability and Related Topics Vol.10, No.2
  
  Pages: 261-276
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540201
[Journal Article] The Levy Laplacianacting on some class of Levy functionals2007
- Author(s)
  K. Saito, A.H. Tsoi
- Journal Title
  
  QP-PQ : Quantum Probability and White Noise Analysis Vol.20
  
  Pages: 330-337
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540201
[Journal Article] Quantum stochastic process associated with Quantum LevyL aplacian2007
- Author(s)
  U.C. Ji, K. Saito, H. Ouerdiane
- Journal Title
  
  Communications on Stochastic Analysis Vol.1, No.2
  
  Pages: 231-245
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540201
[Journal Article] The Levy Laplacian acting on some class of Levy functionals2007
- Author(s)
  K. Saito, A. H. Tsoi:
- Journal Title
  
  QP-PQ: Quantum Probability and White Noise Analysis Vol.20
  
  Pages: 330-337
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540201
[Journal Article] Quantum stochastic process associated with Quantum Levy Laplacian2007
- Author(s)
  U. C. Ji, K. Saito, H. Ouerdiane
- Journal Title
  
  Communications on Stochastic Analysis Vol.1, No.2
  
  Pages: 231-245
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540201
[Journal Article] Quantum Stochastic Process associated with Quantum Levy Laplacian2007
- Author(s)
  K.Saito, (with U.C.Ji, H.Ouerdiane)
- Journal Title
  
  Communications on Stochastic Analysis Vol.1, No.2(To appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540136
[Journal Article] A similarity between the Gross Laplacian and the Levy Laplacian2007
- Author(s)
  K.Saito (with U.C.Ji)
- Journal Title
  
  Infinite Dimensional Analysis, Quantum Probability and Related Topics Vol.10(To appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540136
[Journal Article] A similarity between the Gross Laplacian and the Levy Laplacian2007
- Author(s)
  K.Saito, (with U.C.Ji)
- Journal Title
  
  Infinite Dimensional Analysis, Quantum Probability and Related Topics Vol.10(To appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540136
[Journal Article] The Levy Laplacian acting on Levy white noise functionals2006
- Author(s)
  K.Saito
- Journal Title
  
  Proceedings of The 5th Nagoya Levy seminar
  
  Pages: 71-74
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540136
[Journal Article] The Levy Laplacian and the Levy Process2006
- Author(s)
  K.Saito
- Journal Title
  
  京都大学数理解析研究所講究録「RIMS共同研究量子解析におけるミクロ・マクロ双対性」 1507
  
  Pages: 14-25
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540136
[Journal Article] Fractional Brownian motions and the Levy Laplacian2006
- Author(s)
  K.Saito, (with K.Nishi, A.H.Tsoi)
- Journal Title
  
  Quantum Information Vol.5
  
  Pages: 181-191
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540136
[Journal Article] Fractional Brownian motions and the Levy Laplacian2006
- Author(s)
  K.Nishi, K.Saito, A.H.Tsoi
- Journal Title
  
  Quantum Information, World Scientific V
  
  Pages: 181-191
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] The Levy Laplacian and the Levy Process2006
- Author(s)
  K.Saito
- Journal Title
  
  RIMS Kokyuroku, 「Micro-Macro Duality in Quantum Analysis] 1507
  
  Pages: 14-25
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540136
[Journal Article] Fractional Brownian motions and the Levy Laplacian2006
- Author(s)
  K.Saito (with K.Nishi, A.H.Tsoi)
- Journal Title
  
  Quantum Information Vol.5
  
  Pages: 181-191
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540136
[Journal Article] Fractional Brownian motions and the Levy Laplacian2006
- Author(s)
  K.Nishi, K.Saito, A.H.Tsoi
- Journal Title
  
  Quantum Information V (World Scientific)
  
  Pages: 181-191
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] An infinite dimensional Laplacian acting on some class of Levy white noise functionals2006
- Author(s)
  K.Saito
- Journal Title
  
  QP-PQ Quantum Probability and White Noise Analysis Vo.19
  
  Pages: 292-312
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540136
[Journal Article] An infinite dimensional Laplacian acting on some class of Levy white noise functionals2006
- Author(s)
  K.Saito
- Journal Title
  
  QP-PQ Quantum Probability and White Noise Analysis Vol.19(掲載予定)
- Data Source
  KAKENHI-PROJECT-17540136
[Journal Article] Fractional Brownian motions and the Levy Laplacian2006
- Author(s)
  K.Nishi, K.Saito, A.H.Tsoi
- Journal Title
  
  Quantum Information Vol.5
  
  Pages: 181-191
- Data Source
  KAKENHI-PROJECT-17540136
[Journal Article] The Levy Laplacian acting on Levy white noise functionals2006
- Author(s)
  K.Saito
- Journal Title
  
  The 5th Nagoya Levy seminar 報告集 5
  
  Pages: 71-74
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540136
[Journal Article] An infinite dimensional Laplacian acting on multiple Wiener integrals by some Levy processes2005
- Author(s)
  K.Saito
- Journal Title
  
  Infinite Dimensional Harmonic Analysis 3
  
  Pages: 265-276
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540136
[Journal Article] An infinite dimensional Laplacian in white noise theory2005
- Author(s)
  K.Saito
- Journal Title
  
  Stochastic Analysis : Classical and Quantum
  
  Pages: 187-198
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Stochastic Processes associated with a sum of the Levy Laplacian2005
- Author(s)
  K.Saito
- Journal Title
  
  Stochastic Analysis and Applications Vol.23
  
  Pages: 1-17
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540141
[Journal Article] Perspectives of white noise theory II - An infinite dimensional Laplacian in white noise theory2005
- Author(s)
  K.Saito
- Journal Title
  
  Quantum Information and Complexity Vol.2(to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540141
[Journal Article] An infinite dimensional Laplacian acting on multple Wiener integrals by some Levy processes2005
- Author(s)
  K.Saito
- Journal Title
  
  Infinite Dimensional Harmonic Analysis III (H.Heyer, T.Hirai, T.Kawazoe, K.Saito, Eds.) (World Scientific)
  
  Pages: 265-276
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Stochastic Processes associated with a sum of the Levy Laplacians2005
- Author(s)
  K.Saito
- Journal Title
  
  Stochastic Analysis and Applications Vol.23
  
  Pages: 1-17
- Data Source
  KAKENHI-PROJECT-15540141
[Journal Article] An infinite dimensional Laplacian acting on Levy white noise functionals2005
- Author(s)
  K.Saito
- Journal Title
  
  Proc.International Conference on Quantum Information 2003 Vol.1(To appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540141
[Journal Article] An infinite dimensional Laplacian in white noise theory2005
- Author(s)
  K.Saito
- Journal Title
  
  Stochastic Analysis : Classical and Quantum Vol.1
  
  Pages: 187-198
- Data Source
  KAKENHI-PROJECT-17540136
[Journal Article] An infinite dimensional Laplacian in white noise theory2005
- Author(s)
  K.Saito
- Journal Title
  
  Stochastic Analysis : Classical and Quantum
  
  Pages: 187-198
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540136
[Journal Article] An infinite dimensional Laplacian acting on some class of Levy white noise functionals2005
- Author(s)
  K.Saito
- Journal Title
  
  Proc.Quantum Information 2003 (L. Accardi eds.) (World Scientific) (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540141
[Journal Article] An infinite dimensional Laplacian acting on multiple Wiener integrals by some Levy processes2005
- Author(s)
  K.Saito
- Journal Title
  
  Infinite Dimensional Harmonic Analysis, World Scientific III
  
  Pages: 265-276
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Stochastic process associated with a sum of the Levy Laplacian2005
- Author(s)
  K.Saito
- Journal Title
  
  Stoch. Anal. Appl. 23
  
  Pages: 365-381
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] An infinite dimensional Laplacian acting on multiple Wiener integrals by some Levy processes2005
- Author(s)
  K.Saito
- Journal Title
  
  Infinite Dimensional Harmonic Analysis III
  
  Pages: 265-276
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540136
[Journal Article] Infinite Dimensional Harmonic Analysis III2005
- Author(s)
  H.Heyer, T.Hirai, T.Kawazoe, K.Saito (eds.)
- Journal Title
  
  Infinite Dimensional Harmonic Analysis III (World Scientific)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Stochastic process associated with a sum of the Levy Laplacian2005
- Author(s)
  K.Saito
- Journal Title
  
  Stochastic Analysis and Applications 23
  
  Pages: 365-381
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540136
[Journal Article] Stochastic process associated with a sum of the Levy Laplacian2005
- Author(s)
  K.Saito
- Journal Title
  
  Stoch.Anal.Appl. 23
  
  Pages: 365-381
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Perspectives of white noise theory II-An infinite dimensional Laplacian in white noise theory2005
- Author(s)
  K.Saito
- Journal Title
  
  Quantum Information and Complexity Vol.2(To appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540141
[Journal Article] An infinite dimensional Laplacian acting on multiple Wiener integrals by some Levy processes2005
- Author(s)
  K.Saito
- Journal Title
  
  Infinite Dimensional Harmonic Analysis Vol.3
  
  Pages: 265-276
- Data Source
  KAKENHI-PROJECT-17540136
[Journal Article] Fractional Brownian motions and the Levy Laplacian2005
- Author(s)
  K.Nishi, K.Saito, A.H.Tsoi
- Journal Title
  
  Quantum Information V, World Scientific (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540141
[Journal Article] Stochastic processes associated with a sum of the Levy Laplacians2005
- Author(s)
  K.Saito
- Journal Title
  
  Stochastic Analysis and Applications Vol.23
  
  Pages: 365-381
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540141
[Journal Article] An infinite dimensional Laplacian in white noise theory2005
- Author(s)
  K.Saito
- Journal Title
  
  Stochastic Analysis : Classical and Quantum 1
  
  Pages: 187-198
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540136
[Journal Article] Stochastic process associated with a sum of the Levy Laplacian2005
- Author(s)
  Kimiaki Saito
- Journal Title
  
  Stochastic Analysis and Applications 23
  
  Pages: 1-17
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Stochastic process associated with a sum of the Levy Laplacians2005
- Author(s)
  K.Saito
- Journal Title
  
  Stochastic Analysis and Applications Vol.23
  
  Pages: 365-381
- Data Source
  KAKENHI-PROJECT-17540136
[Journal Article] Infinite dimensional stochastic processes and the Levy Laplacian2004
- Author(s)
  K.Saito
- Journal Title
  
  Proc. the 5th Tunisia-Japan Symposium on Culture, Science and Technology (Session A : Mathematics and Informatics)
  
  Pages: 1-4
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540141
[Journal Article] Infinite dimensional stochastic process and the Levy Laplacian2004
- Author(s)
  K.Saito
- Journal Title
  
  Proc.51^<th> Tunisia-Japan Symposium on Culture, Science and Technology, Session A "Mathematics and Informatics" Vol.5
  
  Pages: 1-4
- Data Source
  KAKENHI-PROJECT-15540141
[Journal Article] Perspectives of white noise theory II- An lnifinite dimensional Laplacian in white noise theory2004
- Author(s)
  K.Saito
- Journal Title
  
  Quantum Information and Complexity Vol.2(To appear)
- Data Source
  KAKENHI-PROJECT-15540141
[Journal Article] An infinitedimensional stochastic processand the Levy Laplacian acting on WND-valued functions2004
- Author(s)
  K.Nishi, K.Saito
- Journal Title
  
  Quantum Information and Complexity 1
  
  Pages: 362-390
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] An infinite dimensional stochastic process and the Levy Laplacian acting on WND-valued functions2004
- Author(s)
  K.Nishi, K.Saito
- Journal Title
  
  Quantum Information and Complexity (World Scientific) Vol.1
  
  Pages: 376-390
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Infinite dimensional stochastic process and the Levy Laplacian2004
- Author(s)
  K.Saito
- Journal Title
  
  Proc.5^<th> Tunisia-Japan Symposium on Culture, Science and Technology, Session A "Mathematics and Informatics" Vol.5
  
  Pages: 1-4
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540141
[Journal Article] An infinite dimensional stochastic process and the Levy Laplacian acting on WND-valued functions2004
- Author(s)
  K.Nishi, K.Saito
- Journal Title
  
  Quantum Information and Complexity Vol.1
  
  Pages: 376-390
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540141
[Journal Article] An infinite dimensional stochastic process and the Levy Laplacian acting on WND-valued functions2004
- Author(s)
  K.Nishi, K.Saito
- Journal Title
  
  Quantum Information and Complexity, Vol.1, World Scientific
  
  Pages: 376-390
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Infinite dimensional Brownian motions and Laplacian operators in white noise analysis2004
- Author(s)
  K.Saito, K.Nishi, K.Sakabe
- Journal Title
  
  Bulletin of Gifu National College Technology Vol.39
  
  Pages: 17-26
- NAID
  110004649468
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540141
[Presentation] Remark on a construction of a stochastic process generated by the exotic Laplacian2017
- Author(s)
  Kimiaki Saito
- Organizer
  Joint research on Infinite Dimensional Analysis and Quantum Probability, Chungbuk National University,　Korea
- Invited
- Data Source
  KAKENHI-PROJECT-15K04940
[Presentation] Powers of white noise associated with the product of distributions2017
- Author(s)
  Kimiaki Saito
- Organizer
  The 38th International Conference on Infinite Dimensional Analysis, Quantum Probability and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04940
[Presentation] Powers of an infinite dimensional Brownian motion associated with the product of distributions2015
- Author(s)
  Kimiaki Saito
- Organizer
  11th Sendai Workshop on Infinite Dimensional Analysis and Quantum Probability
- Place of Presentation
  Tohoku University
- Year and Date
  2015-10-26
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04940
[Presentation] Infinite dimensional analysis based on higher order derivatives of white noise2013
- Author(s)
  Kimiaki Saito
- Organizer
  The 8th Jikji Workshop Infinite Dimensional Analysis and Quantum Probability
- Place of Presentation
  NIMS, Daejeon, Korea
- Invited
- Data Source
  KAKENHI-PROJECT-24540149
[Presentation] Infinite dimensional Brownian motion associated with exotic Laplacian2012
- Author(s)
  Kimiaki Saito
- Organizer
  Seminar on Probability, Chungbuk National University
- Place of Presentation
  Chungbuk National University
- Invited
- Data Source
  KAKENHI-PROJECT-24540149
[Presentation] Infinite dimensional analysis based on higher order derivatives of white noise2012
- Author(s)
  Kimiaki Saito
- Organizer
  4th International Workshop on Quantum Probability and its Applications
- Place of Presentation
  Campobasso; Italy,
- Invited
- Data Source
  KAKENHI-PROJECT-24540149
[Presentation] Infinite dimensional Laplacians associated with derivatives of an infinite dimensional Brownian motion2012
- Author(s)
  Kimiaki Saito
- Organizer
  Seminar on IDAQP, Centro Vito Volterra
- Place of Presentation
  Rome, Italy
- Invited
- Data Source
  KAKENHI-PROJECT-24540149
[Presentation] Infinite dimensional Laplacians associated with derivatives of an infinite dimensional Brownian Motion2011
- Author(s)
  K. Saito
- Organizer
  Chungbuk National University, Korea
- Place of Presentation
  Invited Lecture
- Year and Date
  2011-03-19
- Data Source
  KAKENHI-PROJECT-21540151
[Presentation] Infinite dimensional Laplacians associated with derivatives of white noise2011
- Author(s)
  K.Saito
- Organizer
  32nd INTERNATIONAL CONFERENCE ON QUANTUM PROBABILITY AND RELATED TOPICS
- Place of Presentation
  Levico Teme-Italy
- Year and Date
  2011-05-30
- Data Source
  KAKENHI-PROJECT-21540151
[Presentation] Infinite dimensional Laplacians associated with derivatives of white noise2011
- Author(s)
  K. Saito
- Organizer
  32nd International Conference on Quantum Probability and Related Topics
- Place of Presentation
  Levico Terme. Italy, Invited Talk
- Year and Date
  2011-05-30
- Data Source
  KAKENHI-PROJECT-21540151
[Presentation] Exotic Laplacians and higher order derivatives of white noise2010
- Author(s)
  K. Saito
- Organizer
  The 10^<th> Sendai Workshop on Infinite Dimensional Analysis and Quantum Probability, Graduate School of Information Sciences
- Place of Presentation
  Tohoku University
- Year and Date
  2010-12-17
- Data Source
  KAKENHI-PROJECT-21540151
[Presentation] Higher order derivatives of white noise and infinite dimensional Laplacians2010
- Author(s)
  K. Saito
- Organizer
  研究集会
- Place of Presentation
  愛知教育大学
- Year and Date
  2010-12-27
- Data Source
  KAKENHI-PROJECT-21540151
[Presentation] Exotic Laplacians and higher order derivatives of white noise2010
- Author(s)
  K.Saito
- Organizer
  IDAQP Sendai Seminar
- Place of Presentation
  Tohoku University
- Year and Date
  2010-06-25
- Data Source
  KAKENHI-PROJECT-21540151
[Presentation] Exotic Laplacians and higher order derivatives of white noise2010
- Author(s)
  Kimiaki Saito
- Organizer
  IDAQP Sendai Seminar
- Place of Presentation
  東北大学,仙台市
- Data Source
  KAKENHI-PROJECT-20540145
[Presentation] Exotic Laplacians and higher derivatives of white noise2009
- Author(s)
  K. Saito
- Organizer
  大学間共同研究Volterra Center, University of Rome Torvergata
- Place of Presentation
  Rome, Italy
- Year and Date
  2009-09-04
- Data Source
  KAKENHI-PROJECT-21540151
[Presentation] Exotic Laplacians and exponential functions of white noise2009
- Author(s)
  K. Saito
- Organizer
  科研費研究集会
- Place of Presentation
  福岡教育大学,アブストラクト
- Year and Date
  2009-09-01
- Data Source
  KAKENHI-PROJECT-21540151
[Presentation] Exotic Laplacians in White Noise Theory2009
- Author(s)
  K. Saito
- Organizer
  Invited Lecture at University of Tunis El Manar-Tunisia
- Place of Presentation
  Tunisia
- Year and Date
  2009-11-11
- Data Source
  KAKENHI-PROJECT-21540151
[Presentation] A Gauss-Poisson correspondence and Laplace operators2009
- Author(s)
  K.Saito
- Organizer
  チュニジア-日本文化・科学・技術学術会議第10回記念大会(TJASSST 10)
- Place of Presentation
  Tunisia, Mehari Hammamet
- Year and Date
  2009-11-12
- Data Source
  KAKENHI-PROJECT-21540151
[Presentation] A Gauss-Poisson correspondence and Laplace operators2009
- Author(s)
  K. Saito
- Organizer
  第10回チュニジア-日本文化・科学・技術学術会議TJASST10
- Place of Presentation
  Tunisia
- Year and Date
  2009-11-12
- Data Source
  KAKENHI-PROJECT-21540151
[Presentation] Exotic Laplacians and associated stochastic processes2008
- Author(s)
  K. Saito
- Organizer
  Invited Lecture
- Place of Presentation
  Chungbuk National University, Korea
- Data Source
  KAKENHI-PROJECT-19540201
[Presentation] Exotic Laplacians and associated stochastic processes2008
- Author(s)
  K. Saito
- Organizer
  Invited Lecture, Univ. Rome
- Place of Presentation
  Volterra Center, Italy
- Data Source
  KAKENHI-PROJECT-19540201
[Presentation] Infinite dimensionalstochastic processes associated with theExotic Laplacians2008
- Author(s)
  U.C.Ji, K. Saito
- Organizer
  数理解析研究所講究録
- Place of Presentation
  Non-Commutative Analysis and Micro-Macro Duality
- Data Source
  KAKENHI-PROJECT-19540201
[Presentation] Exotic Laplacians and exponential functions of white noise2008
- Author(s)
  Kimiaki Saito
- Organizer
  The 8th Sendai Workshop on Infinite Dimensional Analysis and Quantum Probability
- Place of Presentation
  東北大学、仙台市
- Year and Date
  2008-11-10
- Data Source
  KAKENHI-PROJECT-20540145
[Presentation] A Gauss-Poisson correspondence and infinite dimensional Laplacians, AMS meetings2008
- Author(s)
  K. Saito
- Organizer
  Invited Talk
- Place of Presentation
  Louisiana State University, USA, Abstract
- Data Source
  KAKENHI-PROJECT-19540201
[Presentation] A Gauss-Poisson correspondence and infinite dimensional Laplacians2008
- Author(s)
  K. Saito
- Organizer
  1037th AMS meeting
- Place of Presentation
  Louisiana State Univ., USA
- Year and Date
  2008-03-29
- Data Source
  KAKENHI-PROJECT-19540201
[Presentation] Exotic Laplacians and exponential functions of white noise2008
- Author(s)
  K. Saito
- Organizer
  The 8^<th> Sendai Workshop on Infinite Dimensional Analysis and Quantum Probability
- Place of Presentation
  東北大学大学院情報科学研究科
- Data Source
  KAKENHI-PROJECT-19540201
[Presentation] Exotic Laplacians and associated stochastic processes2008
- Author(s)
  K. Saito
- Organizer
  Invited Lectures on Infinite dimensional Analysis Chungbuk National University, Korea
- Place of Presentation
  Chungbuk National University
- Data Source
  KAKENHI-PROJECT-19540201
[Presentation] Exotic Laplacians and exponential functions of white noise2008
- Author(s)
  K. Saito
- Organizer
  The 8th Sendai Workshop on Infinite Dimensional Analysis and Quantum Probability
- Place of Presentation
  Tohoku University
- Data Source
  KAKENHI-PROJECT-19540201
[Presentation] Infinite dimensional stochastic processes generated by the Exotic Laplacians2007
- Author(s)
  K. Saito
- Organizer
  RIMS研究集会「非可換解析とミクロ・マクロ双対性」
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-19540201
[Presentation] Kuo's Fourier-Mehler transform and the Levy Laplacian, AMS-MAA Joint Mathematics Meetings2007
- Author(s)
  K. Saito
- Organizer
  New Orleans
- Place of Presentation
  Abstracts of papers presented to the American Mathematical Society
- Data Source
  KAKENHI-PROJECT-19540201
[Presentation] Infinite dimensional Schrodinger equation associated with the Levy and Volterra Laplacians2007
- Author(s)
  K. Saito
- Organizer
  Invited Lecture at Dankook University
- Place of Presentation
  Korea
- Data Source
  KAKENHI-PROJECT-19540201
[Presentation] Stochastic processes associated with the Exotic Laplacians2007
- Author(s)
  K. Saito
- Organizer
  Invited Lecture at Hanyan University
- Place of Presentation
  Korea
- Data Source
  KAKENHI-PROJECT-19540201
[Presentation] Recent developments on theLevy Laplacian and related stochastic processes2007
- Author(s)
  K. Saito
- Organizer
  The 6^<th> Sendai Workshopon Infinite Dimensional Analysis and Quantum Probability under the auspices of JSPS- KOSEF Joint Program
- Place of Presentation
  Tohoku University
- Data Source
  KAKENHI-PROJECT-19540201
[Presentation] An infinite dimensional Fourier-Mehler transform and the Levy Laplacian2007
- Author(s)
  K. Saito
- Organizer
  Invited Lecture at National Chungbuk University
- Place of Presentation
  Korea
- Data Source
  KAKENHI-PROJECT-19540201
[Presentation] Exotic Laplacians and associated stochastic processes2007
- Author(s)
  K. Saito
- Organizer
  28^<th> Conference on Quantum Probability and Related Topics
- Place of Presentation
  CIMAT, Mexico
- Data Source
  KAKENHI-PROJECT-19540201
[Presentation] Stochastic processes generated by the Exotic Laplacians, RIMS研究集会2007
- Author(s)
  K. Saito
- Organizer
  非可換解析とミクロ・マクロ双対性
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-19540201
[Presentation] Exotic Laplacians and associated stochastic processes2007
- Author(s)
  K. Saito
- Organizer
  28th Conference on Quantum Probability and Related Topics
- Place of Presentation
  CIMAT, Mexico
- Data Source
  KAKENHI-PROJECT-19540201
[Presentation] The product of distributions and renormalizations
- Author(s)
  Kimiaki Saito, Takashi Shimada
- Organizer
  Probability Seminar, Chungbuk National University
- Place of Presentation
  Research Institute of Mathematical Finance, Chungbuk National University, Korea
- Year and Date
  2015-02-26 – 2015-03-02
- Invited
- Data Source
  KAKENHI-PROJECT-24540149
[Presentation] The product of distributions and powers of an infinite dimensional Brownian motion
- Author(s)
  Kimiaki Saito
- Organizer
  Joint research on Infinite Dimensional Analysis and Quantum Probability, Centro Vito Volterra
- Place of Presentation
  Centro Vito Volerra, University of Rome Torvergata, Rome
- Year and Date
  2014-05-01 – 2014-05-07
- Invited
- Data Source
  KAKENHI-PROJECT-24540149

1. MIMACHI Yuko (00218629)

# of Collaborated Projects: 14 results

# of Collaborated Products: 2 results
2. OBATA Nobuaki (10169360)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
3. MATSUZAWA Tadato (20022618)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
4. HIDA Takeyuki (90022508)

# of Collaborated Projects: 7 results

# of Collaborated Products: 5 results
5. HIBINO Yuji (50253589)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
6. NISHI Kenjiro (30076616)

# of Collaborated Projects: 7 results

# of Collaborated Products: 6 results
7. 加藤芳文 (40109278)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
8. 硲野敏博 (80076645)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
9. HARA Masaru (30023295)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
10. HIAI Fumio (30092571)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
11. URAKAWA Hajime (50022679)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
12. KUBOTA Tomio (40022511)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
13. HORA Akihito (10212200)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
14. ARIMITSU Toshihico (50134200)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
15. ICHIHARA Kanji (00112293)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
16. SI Si (70269687)

# of Collaborated Projects: 3 results

# of Collaborated Products: 3 results
17. 青本和彦 (00011495)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
18. KUBO Izumi (70022621)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
19. 伊藤昇 (20151524)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
20. ACCARDI Luigi (80283464)

# of Collaborated Projects: 2 results

# of Collaborated Products: 2 results
21. 千代延大造 (50197638)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
22. SUZUKI Kanako (10451519)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. LIANG Song (60324399)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. HOROSHIMA Fumio (00330358)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. YOSHIDA Hiroaki (10220667)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. IWATA Koichiro (20241292)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. YAGUCHI Hirotake (40157970)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. ASAI Nobuhiro (60399029)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. IKEDA Satoshi (70282796)

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30. NAKATA Toshio (10304693)

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31. TORII Hiroshi (20227672)

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32. YAMANOI Motoomi (60076552)

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33. OKAMOTO Kiyosato (60028115)

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# of Collaborated Products: 0 results
34. OZAWA Tetsuya (20169288)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. TASAKI Shuichi (10260150)

# of Collaborated Projects: 1 results

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36. 山辺元雄 (00076621)

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37. 古家守 (80076520)

# of Collaborated Projects: 1 results

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38. 南和彦 (40271530)

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39. 平井武 (70025310)

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40. 山下博 (30192793)

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41. 山口博 (20137798)

# of Collaborated Projects: 1 results

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42. 大矢雅則 (90112896)

# of Collaborated Projects: 1 results

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43. KUO Hui-Hsiung

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# of Collaborated Products: 2 results
44. ACAARDI Luig

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SAITO KIMIAKI 齊藤 公明

Saito Kimiaki 齊藤 公明

SAITO Kimiaki 齊藤 公明

齋藤 公明 サイトウ キミアキ

斎藤 公明 サイトウ キミアキ

斉藤 公明 サイトウ キミアキ

Research Projects

Research Products

Co-Researchers

New developments on quantum information analysis by a stochastic analysis based on theory of spaces consisting of generalized functionalsPrincipal Investigator

Principal Investigator

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Review Section

Research Institution

New developments in infinite dimensional stochastic analysis based on constructions of spaces of generalized functionals and applications to quantum information theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

New development of theory of generalized functionals, an infinite dimensional stochastic analysis and applications to theory of quantum dynamical systemPrincipal Investigator

Principal Investigator

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Research Field

Research Institution

New developments on quantum information theory by an infinite dimensional stochastic analysis and applications to dynamical system theoryPrincipal Investigator

Principal Investigator

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Research Institution

Generalizations of infinite dimensional Laplacians, construction methods of stochastic processes and developments in quantum information analysisPrincipal Investigator

Principal Investigator

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Principal Investigator

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Principal Investigator

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Constructive research on infinite dimensional stochastic Processes and its applications to quantum information analysisPrincipal Investigator

Principal Investigator

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Developments on Quantization and Quantum Information Analysis in terms of Infinite Dimensional Stochastic AnalysisPrincipal Investigator

Principal Investigator

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Principal Investigator

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Infinite Dimensional Stochastic Processes and the Information AnalysisPrincipal Investigator

Principal Investigator

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Principal Investigator

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Principal Investigator

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SAITO KIMIAKI 齊藤公明

Saito Kimiaki 齊藤公明

SAITO Kimiaki 齊藤公明

齋藤公明サイトウキミアキ

斎藤公明サイトウキミアキ

斉藤公明サイトウキミアキ