Hora Akihito 洞彰人

… Alternative Names

Researcher Number	10212200
Other IDs
External Links
Affiliation (Current)	2019: 北海道大学, 理学研究院, 教授
Affiliation (based on the past Project Information) *help	2019: 北海道大学, 理学研究院, 教授 2016 – 2017: 北海道大学, 理学研究院, 教授 2013: 北海道大学, 大学院・理学研究院, 教授 2012 – 2013: 北海道大学, 理学(系)研究科(研究院), 教授 2010 – 2011: 名古屋大学, 多元数理科学研究科, 教授 … More
Review Section/Research Field	Principal Investigator Basic analysis / 解析学 / Basic analysis / Basic Section 12010:Basic analysis-related Except Principal Investigator Basic analysis / 解析学 / Geometry / Global analysis / Basic Section 12010:Basic analysis-related / Basic analysis / 代数学・幾何学 / Global analysis
Keywords	Principal Investigator 調和解析 / 量子確率論 / 対称群 / ランダムウォーク / ヤング図形 / 表現論 / 確率モデル / 中心極限定理 / スケーリング極限 / quantum probability … More Except Principal Investigator 量子確率論 / 直交多項式 / 散逸量子系 / 無限次元解析 / ホワイトノイズ解析 / 隣接行列 / スペクトル / ウェーブレット / 量子分解 / 複雑ネットワーク / 無限次元調和解析 / ランダムグラフ / 量子ホワイトノイズ / ヒルベルト双加群 / 量子中心極限定理 / 統計的独立性 / 対数Sobolev不等式 / 無限分解可能 / フラクタル / 作用素環 / 伊藤公式 / マルチレート信号処理 / Levy Laplacian / V1野 / ホワイトノイズ / 加法的マルチンゲ-ル / 大偏差原理 / 量子統計力学 / 確率測度の準不変性 / 無限グラフ / 無限直積確率測度 / 一様可積分性 / レヴィ・ラプラシアン / 関数解析 / ボーズ粒子系 / カスプフォーム / ヒルベルトC^-双加群 / 複素力学系 / Quantum probability / ランダムウォーク / 代数的組合せ論 / 固有値分布 / 無限自由度 / ランダムウオ-ク / 多次元信号処理 / 単純性 / 可算生成加群 / ボーズ凝縮 / C^-algebra / 量子系の確率極限 / 視覚情報処理 / 信号処理 / dissipative quantum system / 対数ソボレフ不等式 / スダイナーシステム / 確率測度の絶対連続性 / Spectral analysis of graphs / C環 / Quantum white noise / 調和解析学 / 局在化 / フレームレット / 非線型確率解析 / フーリエ解析 / white noise / 中心極限定理 / 有限群 / 量子確率過程 / サブガウス確率ベクトル / 酔歩の理論 / Dissipative quantum system / 量子ノイズ / Ito formula / Quantum central limit theorem / 無限次元回転群 / central limit theorem / 自由エントロピート次元 / 漸近的組合せ論 / 有向グラフ / 接合積 / 無限グラフノスペクトル / ホワイトノイズ理論 / 自由エントロピー次元 / 等周不等式 / 量子論の確率極限 / 指数マルチンゲ-ル / ヒメベルトC^-双加群 / 可算生成 / スペクトル解析 / モーメント / 変換群論 / フーリエ-ガウス変換 / 調和解析 / 量子マルコフ鎖 / quantum Markov chain / ヴィット群 / Hilbert C^*-bimodule / 群の表現論 / 錯視 / 量子フィッシャー情報量 / ボーズアインシュタイン凝縮 / 量子確率 / リー群の表現 / 自由エントロピー / フレーム / 量子ウォーク / 輸送コスト不等式 / 多様体 / 自由確率論 / 画像処理 / 確率解析 / ウェーブレット・フレーム / 単純細胞 / 脳 / stochastic limit of quantum theory / ネットワーク / quantum stochastic differential equation / Quantum decomposition / Discrete dynamical system / 指数可積分性 / フーリエ・ガウス変換 / グラフのスペクトル / ランダム行列 / 自由情報量 / 力学系 / White noise theory / 離散力学系 / 量子確率微分方程式 / quantum noise Less

Quantum probability and asymptotic analysis of large finite systemsOngoing
- Principal Investigator
  
  尾畑伸明
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Tohoku University
漸近的表現論と確率モデルのスケール極限の融合的な研究Principal InvestigatorOngoing
- Principal Investigator
  
  洞彰人
- Project Period (FY)
  2019 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Hokkaido University
漸近的表現論の深化と展開Principal InvestigatorOngoing
- Principal Investigator
  
  洞彰人
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Hokkaido University
Study on decomposition of unitary representations of groups and harmonic functions on branching graphsPrincipal Investigator
- Principal Investigator
  
  HORA Akihito
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Hokkaido University
  Nagoya University
Spectral analysis of complex networks and modeling methods by statistics
- Principal Investigator
  
  OBATA Nobuaki
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku 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
Study of harmonic analysis and applications to multidimensional signal processing
- Principal Investigator
  
  ARAI Hotoshi
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
Integrated study of probability and representation theory towards harmonic analysis on huge groupsPrincipal Investigator
- Principal Investigator
  
  HORA Akihito
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Nagoya University
ランダムグラフの量子確率論的スペクトル解析
- Principal Investigator
  
  尾畑伸明
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
群の表現から見たボーズ凝縮の萌芽研究
- Principal Investigator
  
  松井卓
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Kyushu University
Study of free probability and operator algebras based on random matrices
- Principal Investigator
  
  HIAI Fumio
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
多様体上の群の作用と無限次元調和解析
- Principal Investigator
  
  NISHIYAMA Kyo
- Project Period (FY)
  2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Study of asymptotic theory for representations of symmetric groups from the viewpoint of scaling limits for probability modelsPrincipal Investigator
- Principal Investigator
  
  HORA Akihito
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Okayama 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
Harmonic analysis on graphs and discrete groups, and scaling limit for probability modelsPrincipal Investigator
- Principal Investigator
  
  HORA Akihito
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Okayama University
Research for Hilbert C^* -bimodules and its application to dicrite dynamical systems
- Principal Investigator
  
  KAJIWARA Tsuyoshi
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  OKAYAMA UNIVERSITY
Harmonic analysis on discrete structures and its applications to classical and quantum probability modelsPrincipal Investigator
- Principal Investigator
  
  HORA Akihito
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Okayama University
無限次元調和解析
- Principal Investigator
  
  HIRAI Takeshi
- Project Period (FY)
  1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
グラフ上の調和解析とその古典および量子統計モデルへの応用Principal Investigator
- Principal Investigator
  
  洞彰人
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Okayama University
Quantum White Noise and Infinite Dimensional Harmonic Analysis
- Principal Investigator
  
  OBATA Nobuaki
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Nagoya University
ヴィット群の拡張と幾何学的応用の研究
- Principal Investigator
  
  森本雅治
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Okayama University
ヒルベルト双加群によるC^*環の指数理論の研究
- Principal Investigator
  
  KAJIWARA Tsuyoshi
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Okayama University
量子ランダムウォークの調和解析の研究Principal Investigator
- Principal Investigator
  
  洞彰人
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Okayama University
表現論的方法に基づくランダムウォークの研究Principal Investigator
- Principal Investigator
  
  洞彰人
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Okayama University
代数的構造の上の調和解析とランダムウォークの漸近挙動の研究Principal Investigator
- Principal Investigator
  
  洞彰人
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Okayama University
代数的組合せ論の研究
- Principal Investigator
  
  野田隆三郎
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Okayama University
確率過程の関数解析学的研究
- Principal Investigator
  
  佐藤坦
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu University

[Book] 対称群の表現とヤング図形集団の解析学2017
- Author(s)
  洞　彰人
- Total Pages
  444
- Publisher
  数学書房
- ISBN
  9784903342542
- Data Source
  KAKENHI-PROJECT-16K05164
[Book] The limit shape problem for ensembles of Young diagrams2016
- Author(s)
  Akihito Hora
- Total Pages
  73
- Publisher
  Springer
- Data Source
  KAKENHI-PROJECT-16K05164
[Book] Projective representations and spin characters of complex reflection groups G(m, p, n) and G(m, p, ∞)2013
- Author(s)
  Takeshi Hirai, Akihito Hora, Etsuko Hirai
- Publisher
  Mathematical Society of Japan
- Data Source
  KAKENHI-PROJECT-23540197
[Book] Projective representations and spin characters of complex reflection groups G(m,p,n) and G(m,p,infinity)2013
- Author(s)
  Takeshi Hirai, Akihito Hora, Etsuko Hirai
- Publisher
  Mathematical Society of Japan
- Data Source
  KAKENHI-PROJECT-23540197
[Book] Quantum probaility and spectral analysis of graphs2007
- Author(s)
  Akihito Hora
- Total Pages
  3
- Publisher
  Springer
- Data Source
  KAKENHI-PROJECT-19340029
[Book] Quantum Probability and Spectral Analysis of Graphs2007
- Author(s)
  Akihito Hora
- Total Pages
  371
- Publisher
  Springer-Verlag
- Data Source
  KAKENHI-PROJECT-17340043
[Book] Quantum probability and spectral analysis of graphs2007
- Author(s)
  A. Hora, N. Obata
- Total Pages
  389
- Publisher
  Springer
- Data Source
  KAKENHI-PROJECT-19340032
[Book] Quantum Probability and Spectral Analysis of Graphs2007
- Author(s)
  Akihito Hora and Nobuaki Obata
- Publisher
  Springer
- Data Source
  KAKENHI-PROJECT-19654024
[Book] Quantum Probability and Spectral Analysis of Graphs2007
- Author(s)
  A. Hora, N. Obata
- Total Pages
  371
- Publisher
  Springer-Verlag
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] ヤング図形のエルゴード的な統計集団における集中現象2013
- Author(s)
  洞　彰人
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1825
- Data Source
  KAKENHI-PROJECT-23540197
[Journal Article] ヤング図形のエルゴード的な統計集団における集中現象2013
- Author(s)
  洞彰人
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1825 Pages: 75-90
- Data Source
  KAKENHI-PROJECT-23540197
[Journal Article] Limits of characters of wreath products Sn(T) of a compact group T with the symmetric groups and characters of S∞(T), I.2009
- Author(s)
  T. Hirai, E. Hirai, A. Hora
- Journal Title
  
  Nagoya Mathematical Journal 193
  
  Pages: 1-93
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340032
[Journal Article] Towards projective representations and spin characters of finite and infinite complex reflection groups2009
- Author(s)
  T.Hirai, E.Hirai, A.Hora
- Journal Title
  
  Infinite Dimensional Harmonic Analysis Vol. 4
  
  Pages: 112-128
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340032
[Journal Article] Limits of characters of wreath products Sn(T) of a compact group T with the symmetric groups and characters of S∞(T),I.2009
- Author(s)
  T.Hirai, E.Hira, A.Hora
- Journal Title
  
  Nagoya Mathematical Journal Vol.193
  
  Pages: 1-93
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340032
[Journal Article] Limits of characters of wreath products Sn(T) of a compact group T with the symmetric groups and characters of S∞(T), I, Nagoya Math2009
- Author(s)
  T. Hirai, E. Hirai, A. Hora
- Journal Title
  
  Journal vol. 193
  
  Pages: 1-93
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340029
[Journal Article] Limits of characters of wreath products Sn (T) of a compact group T with the symmetric groups and characters of S∞ (T), I.2009
- Author(s)
  T. Hirai, E. Hirai, A. Hora
- Journal Title
  
  Nagoya Mathematical Journal 193
  
  Pages: 1-93
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340032
[Journal Article] Towards projective representations and spin characters of finite and infinite complex reflection groups2009
- Author(s)
  1T.Hirai, E.Hirai, A.Hora
- Journal Title
  
  Infinite Dimensional Harmonic Analysis Vol.4
  
  Pages: 122-128
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340032
[Journal Article] Asymptotic spectral analysis of growing regular graphs2008
- Author(s)
  A. Hora, N. Obata
- Journal Title
  
  Trans.Amer.Math.Soc. 360
  
  Pages: 899-923
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18654029
[Journal Article] Limits of characters of wreath products Sn(T) of a compact group T with the symmetric groups and characters of S∞(T), II. From a viewpoint of probability theory2008
- Author(s)
  A. Hora, T. Hirai, E. Hirai
- Journal Title
  
  Journal of Mathematical Society of Japan 60
  
  Pages: 1187-1217
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340032
[Journal Article] Asymptotic spectral analysis of growing regular graphs2008
- Author(s)
  A. Hora, N. Obata
- Journal Title
  
  Transactions of American Mathematical Society 360
  
  Pages: 899-923
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340032
[Journal Article] Asymptotic spectral analysis of growing regular graphs2008
- Author(s)
  A. Hora, and N. Obata
- Journal Title
  
  Trans. Amer. Math. Soc. 360
  
  Pages: 899-923
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Asymptotic spectral analysis of growing regular graphs2008
- Author(s)
  A. Hora and N. Obata
- Journal Title
  
  Trans. Amer. Math. Soc. 360
  
  Pages: 899-923
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340043
[Journal Article] Asymptotic spectral analysis of growing regular graphs2008
- Author(s)
  Akihito Hora, Nobuaki Obata
- Journal Title
  
  Trans. Amer. Math. Soc. 360
  
  Pages: 899-923
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19654024
[Journal Article] Asymptotic spectral analysis of growing regular graphs2008
- Author(s)
  Akihito Hora
- Journal Title
  
  Trans.Amer.Math.Soc 360
  
  Pages: 899-923
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340029
[Journal Article] Limits of characters of wreath products Sn(T) of a compact group T with the symmetric groups and characters of S∞(T), II.2008
- Author(s)
  3A.Hora, T.Hirai, E.Hirai
- Journal Title
  
  From a viewpoint of probability theory, Journal of Mathematical Society of Japan Vol.60
  
  Pages: 1187-1217
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340032
[Journal Article] Asymptotic spectral analysis of growing regular graphs2008
- Author(s)
  Hora, N.Obata
- Journal Title
  
  Transactions of American Mathematical Society Vol.360
  
  Pages: 899-923
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340032
[Journal Article] Limits of characters of wreath products Sn (T) of a compact group T with the symmetric groups and characters of S∞ (T), II. From a viewpoint of probability theory2008
- Author(s)
  A. Hora, T. Hirai, E . Hirai
- Journal Title
  
  Journal of Mathematical Society of Japan 60
  
  Pages: 1187-1217
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340032
[Journal Article] Asymptotic spectral analysis of growing regular graphs2008
- Author(s)
  A. Hora, N. Obata
- Journal Title
  
  Trans. Amer. Math. Soc. 360
  
  Pages: 899-923
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340032
[Journal Article] Asymptotic spectral analysis of growing regular graphs2008
- Author(s)
  Akihito Hora and Nobuaki Obata
- Journal Title
  
  Trans. Amer. Math. Soc. 360
  
  Pages: 899-923
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19654024
[Journal Article] Asymptotic spectral analysis of growing regular graphs2008
- Author(s)
  A. Hora and N. Obata
- Journal Title
  
  Trans. Amer. Math. Soc
  
  Volume: 360 Pages: 899-923
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340025
[Journal Article] An interacting Fock space with periodic Jacobi parameters obtained from regular graphs in large scale limit2006
- Author(s)
  A.Hora, N.Obata
- Journal Title
  
  Quantum Information, World Scientific V
  
  Pages: 121-144
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Realizations of factor representations of finite type with emphasis on their characters for wreath products of compact groups with the infinite symmetric group2006
- Author(s)
  Hirai T., Hirai E., Hora A.
- Journal Title
  
  J. Math. Kyoto Univ. 46-1
  
  Pages: 75-106
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540154
[Journal Article] Realization of factor representations of finite type with emphasis on their characters for wreath products of compact groups with the infinite symmetric group2006
- Author(s)
  Hirai, T., Hirai, E., Hora, A.
- Journal Title
  
  J. Math Kyoto Univ. 46,no.1
  
  Pages: 75-106
- Data Source
  KAKENHI-PROJECT-16540154
[Journal Article] Asymptotic spectral analysis of growing regular graphs2006
- Author(s)
  Akihito Hora, Nobuaki Obata
- Journal Title
  
  Trans.Amer.Math.Soc. (印刷中)
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Asymptotic spectral analysis of growing regular graphs2006
- Author(s)
  A.Hora, N.Obata
- Journal Title
  
  Trans.Amer.Math.Soc. (in press)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Jucys-Murphy element and walks on modified Young graph2006
- Author(s)
  Hora, A.
- Journal Title
  
  Banach Center Publ. 73
  
  Pages: 223-235
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540154
[Journal Article] An interacting Fock space with periodic Jacobi parameter obtained from regular graphs in large le limit.2006
- Author(s)
  A.Hora, N.Obata
- Journal Title
  
  Quantum information V
  
  Pages: 121-144
- Data Source
  KAKENHI-PROJECT-18654029
[Journal Article] Jucys-Murphy element and walks on modified Young graph2006
- Author(s)
  Hora A.
- Journal Title
  
  Banach Center Publ. 73
  
  Pages: 223-235
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540154
[Journal Article] Realizations of factor representations of finite type with emphasis on their characters for wreath products of compact groups with the infinite symmetric group2006
- Author(s)
  Hirai, T., Hirai, E., Hora, A.
- Journal Title
  
  J. Math. Kyoto Univ. 46-1
  
  Pages: 75-106
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540154
[Journal Article] Asymptotic spectral analysis of growing regular graphs2006
- Author(s)
  A.Hora, N.Obata
- Journal Title
  
  Trans. Amer. Math. Soc. (In press)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] An interacting Fock space with periodic Jacobi parameter obtained from regular graphs in large scale limit2006
- Author(s)
  Akihito Hora, Nobuaki Obata
- Journal Title
  
  Quantum Information V
  
  Pages: 121-144
- Data Source
  KAKENHI-PROJECT-16540154
[Journal Article] An interacting Fock space with periodic Jacobi parameters obtained from regular graphs in large scale limit2006
- Author(s)
  A.Hora, N.Obata
- Journal Title
  
  Quantum Information V (K.Saito, Ed.) (World Scientific)
  
  Pages: 121-144
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] 対称群の表現と漸近的組合せ論2005
- Author(s)
  洞彰人
- Journal Title
  
  数学 57-3
  
  Pages: 242-254
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540154
[Journal Article] Remark on Biane's character formula and concentration phenomenon in asymptotic representation theory2005
- Author(s)
  A.Hora
- Journal Title
  
  Infinite Dimensional Harmonic Analysis III (H.Heyer, T.Hirai, T.Kawazoe, K.Saito, Eds.) (World Scientific)
  
  Pages: 141-159
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Free probability and asymptotic representation theory of symmetric groups2005
- Author(s)
  洞彰人
- Journal Title
  
  数理解析研究所講究録 1418
  
  Pages: 10-40
- Data Source
  KAKENHI-PROJECT-16540154
[Journal Article] 対称群の表現と漸近的組合せ論2005
- Author(s)
  洞彰人
- Journal Title
  
  数学 57
  
  Pages: 242-254
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] An interacting Fock space with periodic Jacobi parameter obtained from regular graphs in large scale limit2005
- Author(s)
  Hora A., Obata N.
- Journal Title
  
  Quantum Information 5
  
  Pages: 121-144
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540154
[Journal Article] Remark on Biane's character formula and concentration phenomenon in asymptotic representation theory2005
- Author(s)
  Akihito Hora
- Journal Title
  
  Infinite Dimensional Harmonic Analysis, World Scientific III
  
  Pages: 141-159
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] 対称群の表現と漸近的組合せ論2005
- Author(s)
  洞彰人
- Journal Title
  
  数学 57・3
  
  Pages: 242-254
- Data Source
  KAKENHI-PROJECT-17634005
[Journal Article] Remark on Biane's character formula and concentration phenomenon in asymptotic representation theory2005
- Author(s)
  Hora, A.
- Journal Title
  
  Infinite Dimensional Harmonic Analysis 3
  
  Pages: 141-159
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540154
[Journal Article] Free Probability and Asymptotic Representation Theory of Symmetric Groups2005
- Author(s)
  洞彰人
- Journal Title
  
  数理解析研究所講究録 1418
  
  Pages: 10-40
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540154
[Journal Article] Representation of the symmetric groups and asymptotic combinatorics2005
- Author(s)
  A.Hora
- Journal Title
  
  Sugaku (in Japanese) 57
  
  Pages: 242-254
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] 対称群の表現と漸近的組合せ論2005
- Author(s)
  洞彰人
- Journal Title
  
  数学 57
  
  Pages: 242-254
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] 対称群の表現と漸近的組合せ論2005
- Author(s)
  洞彰人
- Journal Title
  
  数学 57/3
  
  Pages: 242-254
- Data Source
  KAKENHI-PROJECT-16540154
[Journal Article] An interacting Fock space with periodic Jacobi parameter obtained from regular graphs in large scale limit2005
- Author(s)
  Hora, A., Obata, N.
- Journal Title
  
  Quantum Information 5
  
  Pages: 121-144
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540154
[Journal Article] Remark on Biane's character formula and concentration Phenomenon in asymptotic representation theory2005
- Author(s)
  A.Hora
- Journal Title
  
  Infinite Dimensional Harmonic Analysis, World Scientific III
  
  Pages: 141-159
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Remark on Biane's character formula and concentration phenomenon in asymptotic representation theory2005
- Author(s)
  Akihito Hora
- Journal Title
  
  Infinite Dimensional Harmonic Analysis III
  
  Pages: 141-159
- Data Source
  KAKENHI-PROJECT-16540154
[Journal Article] Remark on Biane's character formula and concentration phenomenon in asymptotic representation theory2005
- Author(s)
  Hora A.
- Journal Title
  
  Infinite Dimensional Harmonic Analysis 3
  
  Pages: 141-159
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540154
[Journal Article] Asymptotic spectral analysis on the Johnson graphs in infinite degree and zero temperature limit2004
- Author(s)
  A.Hora
- Journal Title
  
  Interdiscip.Inform.Sci. 10
  
  Pages: 1-10
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Asymptotic spectral analysis on the Johnson graphs in infinite degree and zero temperature limit2004
- Author(s)
  Akihito Hora
- Journal Title
  
  Interdisciplinary Information Sciences 10
  
  Pages: 1-10
- Data Source
  KAKENHI-PROJECT-16540154
[Journal Article] Asymptotic spectral analysis on the Johnson graphs in infinite degree and zero temperature limit2004
- Author(s)
  Hora A.
- Journal Title
  
  Interdisciplinary Information Sciences 10-1
  
  Pages: 1-10
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540154
[Journal Article] Asymptotic spectral analysis on the Johnson graphs in infinite degree and zero temperature limit2004
- Author(s)
  Akihito Hora
- Journal Title
  
  Interdiscip.Inform.Sci. 10
  
  Pages: 1-10
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Asymptotic spectral analysis on the Johnson graphs in infinite degree and zero temperature limit2004
- Author(s)
  Hora, A.
- Journal Title
  
  Interdisciplinary Information Sciences 10-1
  
  Pages: 1-10
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540154
[Journal Article] Asymptotic spectral analysis on the Johnson graphs in infinite degree and zero temperature limit2004
- Author(s)
  A.Hora
- Journal Title
  
  Interdiscip. Inform. Sci. 10
  
  Pages: 1-10
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Scaling limit for Gibbs states of Johnson graphs and resulting Meixner classes2003
- Author(s)
  A.Hora
- Journal Title
  
  Inf.Dimen.Anal.Quantum Probab.Rel.Top. 6
  
  Pages: 139-143
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] A noncommutative version of Kerov's Gaussian limit for the Plancherel measure of the symmetric group2003
- Author(s)
  A.Hora
- Journal Title
  
  Lect. Notes in Math. 1815
  
  Pages: 77-88
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Quantum decomposition and quantum central limit theorem2003
- Author(s)
  A.Hora, N.Obata
- Journal Title
  
  Fundamental Problems in Quantum Mechanics (L.Accardi and S.Tasaki, Eds.) (World Scientific)
  
  Pages: 284-305
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Quantum decomposition and quantum central limit theorem2003
- Author(s)
  A.Hora, N.Obata
- Journal Title
  
  Fundamental Problems in Quantum Mechanics (L.Accardi and S.Tasaki, Eds.), World Scientific,
  
  Pages: 284-305
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] A noncommutative version of Kerov's Gaussian limit for the Plancherel measure of the symmetric group2003
- Author(s)
  A.Hora
- Journal Title
  
  Lect.Notes in Math. Vol.1815
  
  Pages: 77-88
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Central limit theorems for large graphs : Method of quantum decomposition2003
- Author(s)
  Y.Hashimoto, A.Hora, N.Obata
- Journal Title
  
  J.Math.Phys. 44
  
  Pages: 71-88
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Central limit theorems for large graphs : Method of quantum decomposition2003
- Author(s)
  Y.Hashimoto, A.Hora, N.Obata
- Journal Title
  
  J. Math. Phys. 44
  
  Pages: 71-88
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Scaling limit for Gibbs states of Johnson graphs and resulting Meixner classes2003
- Author(s)
  A.Hora
- Journal Title
  
  Inf. Dimen. Anal. Quantum Probab. Rel. Top. 6
  
  Pages: 139-143
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340039
[Journal Article] Asymptotic spectral analysis of growing regular graphs
- Author(s)
  Hora, A., Obata, N.
- Journal Title
  
  Trans. Amer. Math. Soc. 予定(確約あり)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540154
[Journal Article] Harmonic functions on the branching graph associated with the infinite wreath product of a compact group
- Author(s)
  Akihito Hora, Takeshi Hirai
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: (掲載予定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540197
[Journal Article] Asymptotic spectral analysis of growing regular graphs
- Author(s)
  Hora A., Obata N.
- Journal Title
  
  Trans. Amer. Math. Soc, to apper
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540154
[Presentation] Markov chains, graph spectra, and some static/dynamic scaling limits2018
- Author(s)
  洞　彰人
- Organizer
  第３回代数的組合せ論「仙台勉強会」
- Invited
- Data Source
  KAKENHI-PROJECT-16K05164
[Presentation] On evolution of macroscopic profiles and their global fluctuations for growing Young diagrams2018
- Author(s)
  Akihito Hora
- Organizer
  第１９回北東数学解析研究会
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-16K05164
[Presentation] Dynamic model for limit profiles and their Gaussian fluctuations in Young diagram ensembles2017
- Author(s)
  Akihito Hora
- Organizer
  Mathematical Aspects of Quantum Fields and Related Topics
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-16K05164
[Presentation] 群論的なヤング図形集団における巨視的プロファイルとゆらぎの動的モデル2017
- Author(s)
  洞　彰人
- Organizer
  筑波大学解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K05164
[Presentation] Application of free probability to dynamical limit shapes of random Young diagrams2017
- Author(s)
  Akihito Hora
- Organizer
  One-day workshop on Interface between Commutative and Non-Commutative Stochastic Analysis
- Place of Presentation
  北海道大学理学研究院（北海道札幌市）
- Data Source
  KAKENHI-PROJECT-16K05164
[Presentation] On a dynamic model for limit profiles and their Gaussian fluctuations in group-theoretical ensembles of Young diagrams2017
- Author(s)
  洞　彰人
- Organizer
  Colloquium RIMS Kyoto University
- Invited
- Data Source
  KAKENHI-PROJECT-16K05164
[Presentation] ヤング図形集団における大数の法則（静的および動的モデル）2017
- Author(s)
  洞　彰人
- Organizer
  岡山-広島解析・確率論セミナー2017
- Place of Presentation
  岡山大学理学部（岡山県岡山市）
- Invited
- Data Source
  KAKENHI-PROJECT-16K05164
[Presentation] Growth process of multi- diagrams, its Martin boundary, and characters of an inductive limit group2013
- Author(s)
  洞彰人
- Organizer
  RIMS International Project Research 2012 : Discrete Geometric Analysis, Markov Chains on Graphs and Related Topics
- Place of Presentation
  京都大学
- Year and Date
  2013-02-14
- Data Source
  KAKENHI-PROJECT-23540197
[Presentation] Limit shape problem in a group-theoretical ensemble of Young diagrams2012
- Author(s)
  洞彰人
- Organizer
  Colloquium
- Place of Presentation
  Chungbuk National University
- Year and Date
  2012-03-16
- Data Source
  KAKENHI-PROJECT-23540197
[Presentation] Computing a probability measure from its free cumulants: deformation of the limit shape of Young diagrams2012
- Author(s)
  洞彰人
- Organizer
  Analysis Seminar
- Place of Presentation
  Chungbuk National University
- Year and Date
  2012-03-15
- Data Source
  KAKENHI-PROJECT-23540197
[Presentation] コンパクト群の環積の指標と分岐グラフの境界2012
- Author(s)
  洞彰人, 平井武, 平井悦子
- Organizer
  日本数学会年会函数解析学分科会
- Place of Presentation
  東京理科大学
- Year and Date
  2012-03-29
- Data Source
  KAKENHI-PROJECT-23540197
[Presentation] ヤング図形のエルゴード的な統計集団における集中現象2012
- Author(s)
  洞彰人
- Organizer
  表現論と非可換調和解析の展望
- Place of Presentation
  京都大学
- Year and Date
  2012-06-20
- Data Source
  KAKENHI-PROJECT-23540197
[Presentation] Harmonic functions on branching networks for some big groups2011
- Author(s)
  洞彰人
- Organizer
  Sapporo Workshop on Noncommutative Analysis and Applications to Complex Phenomena
- Place of Presentation
  北海道大学
- Year and Date
  2011-09-03
- Data Source
  KAKENHI-PROJECT-23540197
[Presentation] ヤング図形の群論的統計集団における最尤形状について2011
- Author(s)
  洞彰人
- Organizer
  岡山解析確率セミナー
- Place of Presentation
  岡山大学
- Year and Date
  2011-10-27
- Data Source
  KAKENHI-PROJECT-23540197
[Presentation] ヤンググラフ上の調和関数と無限対称群の表現2011
- Author(s)
  洞彰人
- Organizer
  離散幾何解析セミナー
- Place of Presentation
  京都大学
- Year and Date
  2011-07-01
- Data Source
  KAKENHI-PROJECT-23540197
[Presentation] Characters and harmonic functions related to infinite wreath product groups2010
- Author(s)
  A.Hora
- Organizer
  RIMS Project Research Functions in Number Theory and Their Probabilistic Aspects
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-12-14
- Data Source
  KAKENHI-PROJECT-19340032
[Presentation] Characters and harmonic functions related to infinite wreath product groups2010
- Author(s)
  Akihito Hora
- Organizer
  RIMS Project Research, Functions in Number Theory and Their Probabilistic Aspects
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-12-14
- Data Source
  KAKENHI-PROJECT-19340032
[Presentation] Kerov's CLT for a non-Plancherel ergodic measures2008
- Author(s)
  A.Hora
- Organizer
  無限次元解析と量子確率論
- Place of Presentation
  東北大学大学院情報科学研究科
- Year and Date
  2008-11-10
- Data Source
  KAKENHI-PROJECT-19340032
[Presentation] Harmonic analysis on symmetric groups and branching graphs2008
- Author(s)
  A.Hora
- Organizer
  Non-commutative Harmonic Analysis with Applications to Probability
- Place of Presentation
  Banach Center, Bedlewo, Poland.
- Year and Date
  2008-08-22
- Data Source
  KAKENHI-PROJECT-19340032
[Presentation] Realization of Vershik-Kerov's type for finite factorial representations of infinite wreath product groups2007
- Author(s)
  A.Hora
- Organizer
  Sminarium Dyskretna Analiza Harmoniczna
- Place of Presentation
  University of Wroclaw, Poland.
- Year and Date
  2007-06-06
- Data Source
  KAKENHI-PROJECT-19340032
[Presentation] A strong LLN for some Young diagram ensembles2007
- Author(s)
  A.Hora
- Organizer
  Infinite Dimensional Analysis and Quantum Probability
- Place of Presentation
  Chungbuk National University, Korea
- Year and Date
  2007-12-03
- Data Source
  KAKENHI-PROJECT-19340032
[Presentation] Group characters, random Young diagrams, and some limit theorems2007
- Author(s)
  A.Hora
- Organizer
  数論と確率論
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2007-10-15
- Data Source
  KAKENHI-PROJECT-19340032
[Presentation] ヤング図形のエルゴード的な統計集団における集中現象
- Author(s)
  洞　彰人
- Organizer
  表現論と非可換調和解析の展望
- Place of Presentation
  京都大学（京都市）
- Invited
- Data Source
  KAKENHI-PROJECT-23540197
[Presentation] Growth process of multi-diagrams, its Martin boundary, and characters of an inductive limit group
- Author(s)
  洞　彰人
- Organizer
  RIMS International Project Research 20120: Discrete Geometric Analysis, Markov Chains on Graphs and Related Topics
- Place of Presentation
  京都大学（京都市）
- Invited
- Data Source
  KAKENHI-PROJECT-23540197

1. OBATA Nobuaki (10169360)

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42. 白谷克巳 (80037168)

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43. 神保秀一 (80201565)

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44. 石川洋文 (00108101)

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45. 森本雅治 (30166441)

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46. 曽布川拓也 (60252946)

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47. 平井安久 (70156636)

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48. 実方宣洋 (70033355)

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49. 山下博 (30192793)

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50. 山口博 (20137798)

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51. 久保泉 (70022621)

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52. 河上哲 (20161284)

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53. 内藤聡 (60252160)

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54. 松井卓 (50199733)

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55. ACCARDI Luig (80283464)

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56. 田中太初 (50466546)

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57. 坂内英一

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Hora Akihito 洞 彰人

洞 彰人 ホラ アキヒト

HORA Akihito 洞 彰人

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Quantum probability and asymptotic analysis of large finite systemsOngoing

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漸近的表現論と確率モデルのスケール極限の融合的な研究Principal InvestigatorOngoing

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漸近的表現論の深化と展開Principal InvestigatorOngoing

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Study on decomposition of unitary representations of groups and harmonic functions on branching graphsPrincipal Investigator

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Integrated study of probability and representation theory towards harmonic analysis on huge groupsPrincipal Investigator

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Study of asymptotic theory for representations of symmetric groups from the viewpoint of scaling limits for probability modelsPrincipal Investigator

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Hora Akihito 洞彰人

洞彰人ホラアキヒト

HORA Akihito 洞彰人