UTIYAMA Kohei 内山耕平

… Alternative Names

内山耕平ウチヤマコウヘイ

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Researcher Number	00117566
Affiliation (based on the past Project Information) *help	2007 – 2011: 東京工業大学, 大学院・理工学研究科, 教授 2005 – 2006: 東京工業大学, 大学院理工学研究科, 教授 1998 – 2005: Graduate School of Science and Engineering, Tokyo Institute of Technology, Profe, 大学院・理工学研究科, 教授 2000 – 2001: 東京工業大学, 理工学研究科, 教授 1995 – 1997: 東京工業大学, 理学部, 助教授 … More 1992: 東京工業大学, 理学部, 助教授 1990: 東京工業大学, 理学部, 助教授 1987 – 1988: 広島大学, 理学部, 助教授 Less
Review Section/Research Field	Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Basic analysis / 解析学
Keywords	Principal Investigator hydrodynamic limit / 局所平衡 / 流体力学極限 / non-gradient system / spectral gap / 大偏差原理 / 相対エントロピー / スケーリング極限 / fluctuation process / principle of large deviations … More / exclusion process / zero-range process / non-linear diffusion / equilibrium fluctuation / Green関数 / ランダムウォーク / 排他過程 / スケール極限 / 流体力学 / 揺動過程 / 非勾配系 / スペクトルギヤップ / large deviation / relative entropy / scaling limit / local equilibrium / 非平衡現象 / ギブス測度 / 非線型拡散方程式 / エントロピ- … More Except Principal Investigator 確率論 / エルゴード理論 / 一意性 / 正値解 / 楕円型方程式 / 放物型方程式 / 確率解析 / Martin boundary / Martin境界 / Stochastic analysis / マルチン境界 / グリーン関数 / 無限粒子系 / 解析学 / ブラウン運動 / 流体力学極限 / 標本リアプノフ指数 / 相互作用のある拡散系 / 無限次元拡散モデル / fundamental solution / uniqueness / positive solution / ポテンシャル論 / 歪積 / 基本解 / Ergodic theory / マルコフ過程 / 初期値問題 / 楕円型偏微分方程式 / 放物型偏微分方程式 / 極限定理 / 確率過程 / 確率制御 / フラクタル / 力学系 / 拡散過程 / 非負値解 / 半小摂動 / 積分表示 / 熱核 / 関数解析学 / ランダム環境下のランダムウォーク / ランダムウォーク / 確率偏微分方程式 / 流体力学的極限 / 漸近解析 / Limit theorem / Diffusion process / Gaussian process / Stochastic process / Probability theory / ランダム媒質 / 数理物理と確率論 / デイリクレ空間 / 数理物理 / 時系列 / 正規過程 / 相転移 / ガウス過程 / potential theory / Green function / elliptic equation / parabolic equation / 解の一意性 / 非一意性 / integrated super-Brownian excursion / infinite cluster / scaling limit / continuum limit / critical point / critical phenomena / percolation / lace expansion / ISE / incipient infinite cluster / Integrated super-Brownian excursion / 無限クラスター / 臨界点 / スケーリング極限 / 連続極限 / 臨界現象 / パーコレーション / perturbation theory / Cauchy problem / elliptic PDE / parabolic PDE / 楕円形偏微分方程式 / 摂動論 / Dirichlet form / Infinite particles' system / Stochastic control / Random matrices / Hydrodynamic limit / Markov processes / ディリクレ形式 / ランダム行列 / thermodynamic formalism / ergodic theory / mapping class group / geodesic flow / 閉測地線 / 熱力学形式 / 写像類群 / 測地流 / directed polymer model / random walk in random environment / stochastic partial differential equation / time-reversibility / unbounded selection / genetical model / Flemig-Viot process / infinite dimensional diffusion / マルチンゲール / ランダムポリマーモデル / 分数冪モーメント / 可逆定常分布 / ランダム高分子モデル / 時間的可逆性 / 自然選択 / 集団遺伝学モデル / フレミング・ヴィオ過程 / Harnack inequality / Intrinsi metric / Unigueness / Initial value problem / Positive solution / Elliptic PDE / Parabolic PDE / 放物型偏徴分方程式 / Martin 境界 / Harnackの不等式 / 内圧的距離 / Harnactの不等式 / 内在的距離 / Browuian motion / stochastic control / ergode theory / fluid mechanical limit / fractal / mathematical finance / Stocharfic process / 無限次元解析 / シュレ-ディンガー作用系 / パーコレイション / 確率微分方程式 / エルゴ-ト理論 / 数理ファイナンス / 確立過程 / 統計的推測 / 誤差評価 / 近似理論 / 漸近展開 / 分布関数 / 密度関数 / 確率分布 / 微分方程式 / 統計力学の数学的基礎 / カオス的現象 / 偶然現象 / 関数方程式 / 楕円形方程式 / 小摂動性 / 解析・評価 / 関数方程式論 / 確率力学系 / 確率場 / 統計力学 / 拡散方程式 / マルコフ多粒子系 / 無限次元線形マルコフ系 / 定常分布問題 / 無限次元拡散過程 / 測定値分枝過程 / 集団遺伝学確率モデル / 大域解 / 初期層 / ボルツマン方程式 / ナビエ・スト-クス方程式 Less

Study on the structure of nonnegative solutions for parabolic equations and the perturbation theory of elliptic operators
- Principal Investigator
  
  MURATA Minoru
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo Institute of Technology
Comprehensive and integrated research of problems motivated by statistical mechanics with stochastic analysis
- Principal Investigator
  
  OSADA Hirofumi
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Kyushu University
Asymptotic analysis of heat kernels and Green functions and its applications
- Principal Investigator
  
  MURATA Minoru
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo Institute of Technology
PROBLEMS ON THE HYDRODYNAMIC LIMIT AND RELATED TOPICSPrincipal Investigator
- Principal Investigator
  
  UCHIYAMA Kohei
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo Institute of Technology
A synthetic study of positive solutions to elliptic and parabolic partial differential equations
- Principal Investigator
  
  MURATA Minoru
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  TOKYO INSTITUTE OF TECHNOLOGY
Synthetic Research of Probability Theory
- Principal Investigator
  
  FUNAKI Tadahisa
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  The University of Tokyo
Problems of Hydrodynamic Limits and Related SubjectsPrincipal Investigator
- Principal Investigator
  
  UCHIYAMA Kohei
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo Institute of Technology
A versatile study of positive solutions to parabolic and elliptic partial differential equations
- Principal Investigator
  
  MURATA Minoru
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo Institute of Technology
Mathematical Study of Critical Phenomena for Statistical Models in Probability
- Principal Investigator
  
  HARA Takashi
- 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
  Nagoya University
  Tokyo Institute of Technology
Ergodic theoretical approach to classical dynamical systems appearing in probability theory and complex analysis
- Principal Investigator
  
  MORITA Takehiko
- 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
  Tokyo Institute of Technology
Structure of positive solutions to second order elliptic and parabolic partial differential equations
- Principal Investigator
  
  MURATA Minoru
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  TOKYO INSTITUTE OF TECHNOLOGY
Mathematical Analysis of Infinite Dimensional Stochastic Models
- Principal Investigator
  
  SHIGA Tokuzo
- 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
  TOKYO INSTITUTE OF TECHNOLOGY
数理物理・数理生物のモデルに関する確率解析
- Principal Investigator
  
  志賀徳造
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo Institute of Technology
無限次元拡散モデルの解析
- Principal Investigator
  
  志賀徳造
- 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
  Tokyo Institute of Technology
General research of Probability theory
- Principal Investigator
  
  KOTANI Shin-ichi
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka University
マルコフ過程論とその生物・物理モデルへの応用
- Principal Investigator
  
  志賀徳造
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo Institute of Technology
非線形現象の偏微分方程式に関する研究
- Principal Investigator
  
  鵜飼正二
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Institute of Technology
統計力学における確率論的モデルの数理解析Principal Investigator
- Principal Investigator
  
  内山耕平
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo Institute of Technology
確率分布の近似理論と応用に関する研究
- Principal Investigator
  
  藤越康祝
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hiroshima University
偶然現象とカオス的現象の数学的解析
- Principal Investigator
  
  十時東生
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hiroshima University
Studies on Probability theory.
- Principal Investigator
  
  IKEDA Nobuyuki
- Project Period (FY)
  1987 – 1988
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka University

All 2011 2010 2009 2008 2007 2004 2002 Other

All Journal Article Book

[Book] ミクロからマクロへ,2.格子気体の流体力学極限2002
- Author(s)
  内山耕平
- Total Pages
  303
- Publisher
  シュプリンガー・フェアラーク東京
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440042
[Journal Article] The First Hitting Time of A Single Point for Random Walks2011
- Author(s)
  Kohei Uchiyama
- Journal Title
  
  Elect.J.Probab.
  
  Volume: 16 Issue: none Pages: 1160-2000
- DOI
  10.1214/ejp.v16-931
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540164
[Journal Article] The First Hitting Time of A Single Point for Random Walks Elect2011
- Author(s)
  K. Uchiyama
- Journal Title
  
  J. Probab
  
  Volume: vol.16, no.71 Pages: 1160-2000
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540164
[Journal Article] The Green Functions Of Two Dimensional Random Walks Killed On A Line And Their Higher Dimensional Analogues2010
- Author(s)
  K. Uchiyama
- Journal Title
  
  Elect. J. Probab
  
  Volume: no.37, vol.15 Pages: 1161-1189
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540164
[Journal Article] The hitting distributions of a line for two dimensional Random Walks2010
- Author(s)
  Kohei Uchiyama
- Journal Title
  
  Trans.American Mathematical Soc.
  
  Volume: 362 Pages: 2559-2588
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540164
[Journal Article] The hitting distributions of a line for two dimensional Random Walks2010
- Author(s)
  Kohei Uchiyama
- Journal Title
  
  Trans. of American Math. Soc. 362
  
  Pages: 2559-2588
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540164
[Journal Article] The mean number of sites visited by a random walk2009
- Author(s)
  K. Uchiyama
- Journal Title
  
  Math. Zeitschrift
  
  Volume: vol.261 Pages: 277-295
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540164
[Journal Article]2009
- Author(s)
  Kohei Uchiyama
- Journal Title
  
  Math. Zeitschrift 261
  
  Pages: 277-295
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340034
[Journal Article] Random walks on periodic graphs2008
- Author(s)
  Kohei Uchiyama
- Journal Title
  
  Transactions of American Mathematical Society 360
  
  Pages: 6065-6087
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340034
[Journal Article] Asymptotic estimates of the Green functions and transition probabilities for Markov additive processes2007
- Author(s)
  内山耕平
- Journal Title
  
  Electric Journal of Probability 12
  
  Pages: 138-180
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340034
[Journal Article] Asymptotic estimates of the Green functions and transition probabilities for Markov additive processes2007
- Author(s)
  K. Uchiyama
- Journal Title
  
  Electric Journal of Probability 12
  
  Pages: 138-180
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340034
[Journal Article] An estimate of the spectral gap for zero-range-exclusion dynamics2004
- Author(s)
  Y.Nagahata, K.Uchiyama
- Journal Title
  
  Osaka J.Math. 41
  
  Pages: 961-975
- NAID
  120005986899
- Data Source
  KAKENHI-PROJECT-15540109
[Journal Article] Equilibrium fluctuation for zero-range-exclusion2004
- Author(s)
  K.Uchiyama
- Journal Title
  
  Journal of Statistical Physics 115
  
  Pages: 1458-1460
- Data Source
  KAKENHI-PROJECT-15540109
[Journal Article] Equilibrium fluctuation for zero-range-exclusion processes2004
- Author(s)
  K.Uchiyama
- Journal Title
  
  J. Statistical Physics 115・5-6
  
  Pages: 1423-1460
- Data Source
  KAKENHI-PROJECT-13440042
[Journal Article] Equilibrium fluctions for zero-range-exclusion processes2004
- Author(s)
  K.UCHIYAMA
- Journal Title
  
  Journal of Statistical Physics 115
  
  Pages: 1423-1460
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540109
[Journal Article] Zero range exclusion particle systems2004
- Author(s)
  K.UCHIYAMA
- Journal Title
  
  Adv,Stud.Pure Math 39
  
  Pages: 377-395
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540109
[Journal Article] Zero range exclusion particle systems2004
- Author(s)
  K.Uchiyama
- Journal Title
  
  Adv.Stud.Pure Math. 39
  
  Pages: 377-395
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540109
[Journal Article] Equilibrium fluctuations for zero-range-exclusion processes2004
- Author(s)
  K.UCHIYAMA
- Journal Title
  
  J.S.P. 115
  
  Pages: 1423-1460
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540109
[Journal Article] Behavior of solutions to the initial value problem for a class of integro-differential equations2002
- Author(s)
  K.Uchiyama
- Journal Title
  
  Nonlinear Analysis 50
  
  Pages: 1035-1053
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440042
[Journal Article] ミクロからマクロへ,22002
- Author(s)
  内山耕平, 舟木直久
- Journal Title
  
  格子気体の流体力学極限(シュプリンガー・フェアラーク東京)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440042
[Journal Article] Random walks on periodic graphs
- Author(s)
  Kohei Uchiyama
- Journal Title
  
  Transactions American Math. S. (掲載決定)
- Data Source
  KAKENHI-PROJECT-17340034
[Journal Article] Random walks on periodic graphs
- Author(s)
  K. Uchiyama and T. Kazami
- Journal Title
  
  Transactions American Math. Soc. (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340034

1. MURATA Minoru (50087079)

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2. SHIGA Tokuzo (60025418)

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3. SHIGA Hiroshige (10154189)

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4. MORITA Takehiko (00192782)

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5. FUNAKI Tadahisa (60112174)

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8. AIKAWA Hiroaki (20137889)

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53. 伊藤秀一 (90159905)

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54. SHIGEKAWA Ichiro (00127234)

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55. TAKEDA Masayoshi (30179650)

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56. NAGAI Hideo (70110848)

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57. 角大輝 (40313324)

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58. 野村祐司 (40282818)

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59. KAWANAGO Tadashi (20214661)

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60. 二木昭人 (90143247)

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61. IGUCHI Tatuo (20294879)

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62. HAMANA Yuji (00243923)

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63. IKEDA Nobuyuki (00028078)

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# of Collaborated Products: 0 results
64. WATANABE Hisao (40037677)

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65. FUKUSHIMA Masatoshi (90015503)

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66. TAKAHASHI Yoichiro (20033889)

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# of Collaborated Products: 0 results

UTIYAMA Kohei 内山 耕平

内山 耕平 ウチヤマ コウヘイ

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PROBLEMS ON THE HYDRODYNAMIC LIMIT AND RELATED TOPICSPrincipal Investigator

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Problems of Hydrodynamic Limits and Related SubjectsPrincipal Investigator

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UTIYAMA Kohei 内山耕平

内山耕平ウチヤマコウヘイ