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ICHIHARA Kanji
市原 完治
Connect your ORCID iD
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Alternative Names
ICHIHARA Kenji 市原 完治
市原 完治 イチハラ カンジ
市原 克治 イチハラ カンジ
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Researcher Number
00112293
Affiliation (based on the past Project Information)
*help
2017: 名城大学, 理工学部, 教授
2014: 名城大学, 理工学部, 教授
2011: 名城大学, 理工学部, 教授
2002 – 2005: Kansai University, Faculty of Engineering, Professor, 工学部, 教授
1999 – 2001: 名古屋大学, 大学院・多元数理科学研究科, 助教授
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1997: Nagoya University, Graduate School of Math., Associate Professor, 大学院多元数理科学研究科, 助教授
1995 – 1997: 名古屋大学, 大学院・多元数理科学研究科, 助教授
1991 – 1992: 名古屋大学, 教養部, 助教授
1987 – 1989: 名古屋大学, 教養部, 助教授
1986: 名大, 教養部, 講師
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Review Section/Research Field
Principal Investigator
General mathematics (including Probability theory/Statistical mathematics)
/
Basic analysis
/
Basic analysis
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics)
/
General mathematics (including Probability theory/Statistical mathematics)
/
解析学
/
代数学・幾何学
/
Basic analysis
/
Basic analysis
Keywords
Principal Investigator
マルコフ連鎖 / 調和変換 / 大偏差原理 / 熱核 / principal eigenfunction / スペクトル / ブラウン運動 / large deviation / fractal / リーマン多様体
…
More
/ 固定端過程 / pinned process / heat kernel / curvature / 主固有関数 / 樹木 / 離散群 / spectrum / Brownian motion / 一点への到達確率 / 再帰性・非再帰性 / ハルナック不等式 / 自己相似な確率過程 / OrnsteinーUhlenbeck型確率過程 / 符号化定理 / ベルマン方程式 / 対称マルコフ過程 / 爆発問題 / リーマン多様体上のブラウン運動 / 負曲率 / Tailσ-field / Invarianto-field / 単峰な確率分布 / モード / 時間的一様な独立増分をもつ確率過程 / 流体力学極限 / 確率偏微分方程式 / 確率Burgers方程式 / Harnack不等式 / ランダム媒質 / 出生死滅過程 / 量子確率過程 / フラクタル / 差分作用素 / Dirichlet空間 / 拡散過程 / Liouville性 / 再帰性 / 準安定挙動 / エントロピー / ギブス分布 / 界面 / 反応拡散方程式 / 特異摂動 / バーガーズ方程式 / hydrodynamical limit / Stochastic partial diflerential equation / Stochastic Burgers equation / Harnack's inequality / random environment / birth and dath process / quauntum stochascic process / 普遍被覆空間 / Gibbs測度 / Sierpinski Carpets / 負曲率リーマン多様体 / ラプラシアン / Labachevsky空間 / harmonic transform / covering space / Gibbs measure / Serpinski carpet / マルコフ過程 / ロバチェフスキー空間 / ディリクレ形式 / 主固有値 / 被覆空間 / 対称空間 / Markov process / hyperbolic space / tree / 等質樹木 / レート関数 / ロバチェフスキー平面 / 基本領域 / 保形関数 / 測地流 / stable foliation / harmonic measure / 双曲的リーマン多様体 / 結晶格子 / 可逆的マルコフ連鎖 / spherical mean / 保型関数 / ランダムウォーク / 周期的マルコフ連鎖 / radial random walk / homogenous tree / rate function
…
More
Except Principal Investigator
量子確率過程 / 無限次元ラプラシアン / 無限次元確率過程 / ジュブレイ指数 / ハルナック不等式 / 加法過程 / ガウス型通信路 / ホワイトノイズ超関数 / 無限次元ラプラス作用素 / 量子情報解析 / 力学系理論 / 分枝過程 / 無限次元確率解析 / 超汎関数空間 / フラクタル / 拡散過程 / heat kernel / Sierpinski Carpet / マルコフ過程 / Dirichlet form / ディリクレ形式 / excursion / 曲率テンソル / 同値問題 / 実代数的 / 微分多項式 / G-構造 / 形式的巾級数 / ニュ-トン図形 / フックス型方程式 / グルサ-問題 / 常微分作用素 / 指数定理 / 微分作用素環上の行列式 / 流体力学極限 / GinzburgーLandauモデル / 排除過程 / 大数の法則 / 非線式拡散方程式 / ル-プ空間 / 確率偏微分方程式 / WentzellーFreidlin型拡散過程 / エルゴード的確率制御問題 / ベルマン方程式 / 勾配評価 / 単峰性 / マルコフ連鎖 / ホワイトノイズ / ガウス型確率変数 / フォック空間 / 散逸量子系 / 量子確率積分 / 量子確率 / ボゾン・フォック空間 / 量子散逸 / 量子スピン系 / 確率微分方程式 / 無限次元調和解析 / ガウス空間 / 確率過程構成法 / Exotic Laplacian / レヴィ・ラプラシアンの一般化 / ホワイトノイズの高階微分 / チェサロヒルベルト空間 / 無限次元解析 / 確率解析 / 関数解析 / 量子情報論 / 確率論的数論 / 量子確率論 / 数論的確率論 / 量子ホワイトノイズ / 超函数の積 / 無限次元ブラウン運動の積 / 符号力学系 / エルゴード理論 / 確率過程 / 自己相似集合 / 熱核 / シェルピンスキーカーペット / ホモジナイゼーション / ランダムウォーク / ハウスドルク次元 / 固有値分布 / fractal / stochastic process / self-similar set / sierpinski carpet / Harnack ineguality / homogenization / Dirichlet形式 / 等周不等式 / ランダム行列 / determinantal random point field / パーコレーション / diffusion processes / Dirichlet forms / Fractal / Iso perimetic inequality / Marka process / Random Matrix / determinantal randomu-point field / 準超幾何関数 / LR変換 / 直交多項式 / 発散級数解 / ボレル総和可能性 / 特異偏微分方程式 / 形式的巾級数解 / 収束,発散 / ポアンカレ条件 / 接続関係式 / 超球面配置 / 超幾何積分 / 差分方程式 / 接続行列 / Wu方程式 / 特異点 / モノドロミー / 離散可積分系 / quasi hypergeometric / LR transform / orthogonal polynomials / divergent solution / Borel summability / singular equation / 可積分力学系 / Gibbs芝則度 / 極限定理 / ネットワーク / ポリヤの壺 / 長距離可積分系 / 大偏差原理 / ラプラス法 / integrable system / Gibbs measure / limit theorems / network / 対称マルコフ過程 / 時間変更過程 / フェラー測度 / スケール関数 / ポアッソン点過程 / 確率停止ゲーム / ダグラス積分 / 定量解析 / 対称安定過程 / スペクトル総合 / 確率停止ゲーム理論 / symmetric Markov process / time changed process / Feller measures / scale function / Poisson point process / stopping game / 出生死亡過程 / 自己相似過程 / ブラウン運動 / 確率制御問題 / 対数型拡散核 / 解析的容量 / 自己分解可能分布 / フィ-ドバック / 確率制御 / シュレ-ディンガ-作用素 / 組みひも群 / 公理A / リーマン多様体 / 有理型関数 / 特異点集合 / ヤン・バクスター方程式 / サボーディネイション / 再帰性 / ディリクレ核 / ピカール集合 / 標準量子限界 / Birth-and-death Process / Markov Process / Self-similar Process / Gaussian Channel / Brownian Motion / Stochastic Control Problem / Logarithmic Diffusion Kernel / Analytic Capacity / 超関数空間 / ホワイトノイズ理論 / 数理ファイナンス / 超汎関数空間論 / 高次チェザロ和 / マルチンゲール理論
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Research Projects
(
21
results)
Research Products
(
2
results)
Co-Researchers
(
50
People)
Project Start Year (Newest)
Project Start Year (Oldest)
New development of theory of generalized functionals, an infinite dimensional stochastic analysis and applications to theory of quantum dynamical system
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 theory
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 analysis
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
Quantitative analysis of reversible Markov processes and the theory of stochastic stopping game
Principal Investigator
FUKUSHIMA Masatoshi
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
Kansai University
Asymptotics of heat kernels on non-euclidean spaces and spectrum
Principal Investigator
Principal Investigator
ICHIHARA Kanji
Project Period (FY)
2003 – 2005
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Basic analysis
Research Institution
Kansai University
Probabilistic Analysis of Gibbs measures associated with the integrable system
Principal Investigator
CHIYONOBU Taizo
Project Period (FY)
2002 – 2005
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Kwansei Gakuin University
Asymptotics of heat kernels and principal eigenvalue problems for Laplacians
Principal Investigator
Principal Investigator
ICHIHARA Kanji
Project Period (FY)
2001 – 2002
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Basic analysis
Research Institution
Kansai University
Nagoya University
A new approach to the construction of multi-dimensional diffusion processes via Dirichlet forms and iso perimetric inequalities
Principal Investigator
OSADA Hirofumi
Project Period (FY)
1999 – 2002
Research Category
Grant-in-Aid for Scientific Research (B)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Graduate School of Mathematics, Nagoya University
Analytic Integral and its applications
Principal Investigator
MIYAKE Masatake
,
青本 和彦
Project Period (FY)
1999 – 2002
Research Category
Grant-in-Aid for Scientific Research (B)
Research Field
Basic analysis
Research Institution
Nagoya University
Asymptotic properties of heat kernels and their applications
Principal Investigator
Principal Investigator
ICHIHARA Kanji
Project Period (FY)
1999 – 2000
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Basic analysis
Research Institution
Nagoya University
量子確率過程の超関数論的研究
Principal Investigator
尾畑 伸明
Project Period (FY)
1996
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
解析学
Research Institution
Nagoya University
Research of stochastic processes on fractals.
Principal Investigator
KUMAGAI Takashi
Project Period (FY)
1996 – 1997
Research Category
Grant-in-Aid for Scientific Research (B)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Nagoya University
ホワイトノイズによる量子確率解析とその応用
Principal Investigator
OBATA Nobuaki
Project Period (FY)
1995
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
解析学
Research Institution
Nagoya University
Stochastic processes with applications to statistical mechanics
Principal Investigator
Principal Investigator
ICHIHARA Kenji,
舟木 直久
Project Period (FY)
1994 – 1996
Research Category
Grant-in-Aid for Scientific Research (B)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Nagoya University
エルゴード型ベルマン方程式の研究
Principal Investigator
長井 英生
Project Period (FY)
1992 – 1993
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Nagoya University
マルコフ過程とその応用
Principal Investigator
Principal Investigator
市原 完治
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
Nagoya University
流体力学極限の確率過程論的研究
Principal Investigator
FUNAKI Tadahisa
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
Nagoya University
代数的リ-マン多様体
Principal Investigator
大和 一夫
Project Period (FY)
1989
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Nagoya University
複素領域における微分方程式系と関連分野の研究
Principal Investigator
MIYAKE Masatake
Project Period (FY)
1989
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Institution
Nagoya University
Study of Stochastic Processes
Principal Investigator
SATO Ken-iti
Project Period (FY)
1987 – 1989
Research Category
Grant-in-Aid for General Scientific Research (B)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Nagoya University
マルコフ過程の研究
Principal Investigator
Principal Investigator
市原 完治
Project Period (FY)
1986
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
General mathematics (including Probability theory/Statistical mathematics)
Research Institution
Nagoya University
All
2002
All
Journal Article
[Journal Article] Birth and death processes in randomly fluctuation environments
2002
Author(s)
Ichihara
Journal Title
Nagoya Math J. 166
Pages
: 29-50
Description
「研究成果報告書概要(欧文)」より
Data Source
KAKENHI-PROJECT-14540110
[Journal Article] Birth and death processes in randomly fluctuation environments
2002
Author(s)
K.Ichihara
Journal Title
Nagoya Math J 166
Pages
: 29-50
Description
「研究成果報告書概要(和文)」より
Data Source
KAKENHI-PROJECT-14540110
# of Projects (Dsc)
# of Projects (Asc)
1.
MIYAKE Masatake
(70019496)
# of Collaborated Projects:
9 results
# of Collaborated Products:
0 results
2.
CHIYONOBU Taizo
(50197638)
# of Collaborated Projects:
9 results
# of Collaborated Products:
0 results
3.
OBATA Nobuaki
(10169360)
# of Collaborated Projects:
8 results
# of Collaborated Products:
0 results
4.
SATO Ken-iti
(60015500)
# of Collaborated Projects:
6 results
# of Collaborated Products:
0 results
5.
SUGIURA Makoto
(70252228)
# of Collaborated Projects:
5 results
# of Collaborated Products:
0 results
6.
NAGAI Hideo
(70110848)
# of Collaborated Projects:
4 results
# of Collaborated Products:
0 results
7.
KUMAGAI Takasi
(90234509)
# of Collaborated Projects:
4 results
# of Collaborated Products:
0 results
8.
AOMOTO Kazuhiko
(00011495)
# of Collaborated Projects:
4 results
# of Collaborated Products:
0 results
9.
OSADA Hirofumi
(20177207)
# of Collaborated Projects:
4 results
# of Collaborated Products:
0 results
10.
小沢 正直
(40126313)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
11.
IHARA Shunsuke
(00023200)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
12.
FUNAKI Tadahisa
(60112174)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
13.
SAITO Kimiaki
(90195983)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
14.
MIMACHI Yuko
(00218629)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
15.
HIBINO Yuji
(50253589)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
16.
FUKUSHIMA Masatoshi
(90015503)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
17.
佐藤 肇
(30011612)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
18.
HATTORI Tetsaya
(10180902)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
19.
ITO Masayuki
(60022638)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
20.
MINAMI Kazuhiko
(40271530)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
21.
KUSUDA Masaharu
(80195437)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
22.
KURISU Tadashi
(00029159)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
23.
松本 幾久二
(90023522)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
24.
村井 隆文
(00109266)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
25.
MATSUZAWA Tadato
(20022618)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
26.
NISHI Kenjiro
(30076616)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
27.
LIANG Song
(60324399)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
28.
ISHIGE Kazuhiro
(90272020)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
29.
UEMURA Hideaki
(30203483)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
30.
SHINODA Masato
(50271044)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
31.
NAKANISHI Tomoki
(80227842)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
32.
KIMURA Yoshihumi
(70169944)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
33.
OKADA Soichi
(20224016)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
34.
YABUTA Kozo
(30004435)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
35.
YAMANE Hideshi
(80286145)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
36.
TAMURA Yozo
(50171905)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
37.
OSHIMA Youichi
(20040404)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
38.
UEMURA Toshihiro
(30285332)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
39.
HIRASHIMA Yasumasa
(80047399)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
40.
NOMOTO Hisao
(40023030)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
41.
大和 一夫
(30022677)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
42.
江尻 典雄
(80145656)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
43.
塩田 昌弘
(00027385)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
44.
内藤 久資
(40211411)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
45.
四方 義啓
(50028114)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
46.
行者 明彦
(50116026)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
47.
河野 俊丈
(80144111)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
48.
池上 宜弘
(00023614)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
49.
ACCARDI Luigi
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
50.
KUO Hui-Hsiung
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
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