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2018 Fiscal Year Annual Research Report

Stochastic Analysis on Infinite Particle Systems

Research Project

Project/Area Number 16H06338
Research InstitutionKyushu University

Principal Investigator

長田 博文  九州大学, 数理学研究院, 教授 (20177207)

Co-Investigator(Kenkyū-buntansha) 種村 秀紀  慶應義塾大学, 理工学部(矢上), 教授 (40217162)
舟木 直久  早稲田大学, 理工学術院, 特任教授 (60112174)
香取 眞理  中央大学, 理工学部, 教授 (60202016)
白井 朋之  九州大学, マス・フォア・インダストリ研究所, 教授 (70302932)
笹本 智弘  東京工業大学, 理学院, 教授 (70332640)
熊谷 隆  京都大学, 数理解析研究所, 教授 (90234509)
Project Period (FY) 2016-05-31 – 2021-03-31
Keywords無限粒子系 / 確率解析 / ランダム行列 / 可解モデル / 確率幾何
Outline of Annual Research Achievements

長田博文は,IFC条件について,従来よりも一般的な十分条件を与えた.種村秀紀は,長距離相互作用をもつ無限個の剛体球の系をスコロホッド型確率微分方程式で表し,強解の一意性を研究し,また理論を飛躍型無限次元確率微分方程式への一般化した。
白井朋之は,2次元球面上にランダム行列やラプラス・ベルトラミ作用素のスペクトルに由来する2種類の行列式点過程を考察し,そのスケール極限で Ginibre 点過程や一般化されたPaley-Wiener空間に付随する行列式点過程を導出した.
舟木直久は相互作用粒子系から平均曲率運動,Stefan 自由境界問題,多成分KPZ方程式などを導出した.熊谷隆は長距離の飛躍を許すランダム媒質上のランダムウォークの漸近挙動を解析した.飛躍の確率が安定過程型で,その係数がランダムでランダムコンダクタンスについて,係数に弱い可積分条件を置くことで,対応するランダムウォークのスケール極限が安定過程になることを証明し,熱核の精密評価を導出した.
香取眞理はアフィンルート系に付随するマクドナルド分母公式に着目し,行列式過程の楕円関数拡張を行った.2次元上の行列式点過程も構成し、それらの無限粒子極限としてジニブル過程とその2つの変形版を導いた.また,1成分プラズマ模型や2次元ガウス自由場との関連を議論した.笹本智弘は1次元KPZ普遍性クラスに属する多くのモデルを特別もしくは極限的な場合として含む確率的6頂点模型の定常状態の性質を明らかにした.定常状態を具体的に構成し,高さ関数の母関数を行列式を用いて表した.また1次元XXスピン鎖と呼ばれる量子スピン系のカレント揺らぎを,ランダム行列理論にも現れるBessel核を用いて記述した.

Current Status of Research Progress
Current Status of Research Progress

1: Research has progressed more than it was originally planned.

Reason

長田博文は種村秀紀,河本陽介とともに,無限次元確率微分方程式を解くための本研究の主理論において,もっとも重要な仮定であった,IFC条件について研究した.この条件は,無限次元確率微分方程式を,無限個の両立性を持つ有限次元確率微分方程式のスキームと捉えなおす,というこの理論の根幹部分を実行するための必須の条件である.従来は,準正測Dirichlet形式に付随する解に対してだけIFC条件が証明されていたが,この制約を外した.この効果は非常に大きく,本理論の様々な応用につながっている.例えば,IFC条件の下で成立する無限次元確率微分方程式の弱解の一意性定理は,付随する準正測とは限らないDirichlet形式の一意性を生み出す.この一意性は,それ自身がDirichlet形式論における拡張問題に答えを与えるだけでなく,極限定理への応用があり,ランダム行列の力学的普遍性を示す上で鍵となる役割を果たす.最後の結果は,対称性という制約はあるものの,無限次元の収束定理を,モデルの個別な様相によらず,幾何的対象である点過程の相関関数の局所一様収束というロバストな条件に帰着するという結果である.
香取眞理と白井朋之はランダムな解析関数の零点分布について共同研究を行っている.先行研究としてPeres と Virag が,円盤上のガウス型解析関数の零点が行列式点過程 (DPP) であることを証明している.彼らは各係数が独立な複素正規分布に従うテイラー級数の統計集団を考え,共形変換不変なDPPを得ることに成功している.香取と白井は,彼らの研究の拡張として,円環上で各係数が独立な複素正規分布に従うローラン級数の統計集団を考え,その零点が実現する点過程の特徴づけを行っている.

Strategy for Future Research Activity

無限粒子系において,系全体のマクロな様相についての何らかの構造を仮定することは避け難いことである.一方,非平衡,非可逆な確率力学の研究は困難だが,興味深い.本研究の中の解析的側面は,様々な状況を扱うロバストな理論だが,明示的に与えられ各点(一つの無限粒子系)から出発する確率力学を解析するという意味での非平衡問題についてはまだ十分に発展していない.一方,このチームの中で可解モデルの立場から進展する研究は,そういう非平衡を扱いうるが,適用範囲が特別なものになる.これらの研究の方向性を統合する方向に研究を進めたい.確率解析の立場からは,これは,より非対称なモデル,範疇を扱う必要が出てくるが,研究全体を,この方向をより強く意識して構築していきたい.IFC条件という基本的な条件を,準正則対称Dirichlet形式の理論なしに,現在展開している.Dirichlet形式論の協力な道具であるcapacityを使用せずに確率解析だけで,粒子の挙動をする方向をより突き詰めていきたい.

  • Research Products

    (83 results)

All 2019 2018 Other

All Int'l Joint Research (6 results) Journal Article (18 results) (of which Int'l Joint Research: 7 results,  Peer Reviewed: 17 results,  Open Access: 4 results) Presentation (54 results) (of which Int'l Joint Research: 46 results,  Invited: 49 results) Book (1 results) Remarks (2 results) Funded Workshop (2 results)

  • [Int'l Joint Research] CIRM/Ecole Normale Superieure de Cachan/Univ Paris-Sud(フランス)

    • Country Name
      FRANCE
    • Counterpart Institution
      CIRM/Ecole Normale Superieure de Cachan/Univ Paris-Sud
    • # of Other Institutions
      2
  • [Int'l Joint Research] National University of Singapore(シンガポール)

    • Country Name
      SINGAPORE
    • Counterpart Institution
      National University of Singapore
  • [Int'l Joint Research] ライデン大学(オランダ)

    • Country Name
      NETHERLANDS
    • Counterpart Institution
      ライデン大学
  • [Int'l Joint Research] Stanford University/University of Washington(米国)

    • Country Name
      U.S.A.
    • Counterpart Institution
      Stanford University/University of Washington
  • [Int'l Joint Research] メルボルン大学(オーストラリア)

    • Country Name
      AUSTRALIA
    • Counterpart Institution
      メルボルン大学
  • [Int'l Joint Research]

    • # of Other Countries
      8
  • [Journal Article] Sharp interface limit for stochastically perturbed mass conserving Allen-Cahn equation2019

    • Author(s)
      Funaki Tadahisa、Yokoyama Satoshi
    • Journal Title

      The Annals of Probability

      Volume: 47 Pages: 560~612

    • DOI

      10.1214/18-AOP1268

    • Peer Reviewed
  • [Journal Article] Macdonald denominators for affine root systems, orthogonal theta functions, and elliptic determinantal point processes2019

    • Author(s)
      Katori Makoto
    • Journal Title

      Journal of Mathematical Physics

      Volume: 60 Pages: 013301~013301

    • DOI

      10.1063/1.5037805

    • Peer Reviewed
  • [Journal Article] Two-Dimensional Elliptic Determinantal Point Processes and Related Systems2019

    • Author(s)
      Katori Makoto
    • Journal Title

      Communications in Mathematical Physics

      Volume: 371 Pages: 1283~1321

    • DOI

      10.1007/s00220-019-03351-5

    • Peer Reviewed
  • [Journal Article] 長田博文氏の業績---長距離相互作用を持つ無限粒子系の確率解析---2019

    • Author(s)
      舟木直久
    • Journal Title

      数学

      Volume: 71 Pages: 202~209

  • [Journal Article] Hydrodynamic limit for exclusion processes2018

    • Author(s)
      Tadahisa Funaki
    • Journal Title

      Communications in Mathematics and Statistics

      Volume: 6(4) Pages: 417~480

    • DOI

      https://doi.org/10.1007/s40304-018-0161-x

    • Peer Reviewed
  • [Journal Article] Cutoffs for product chains2018

    • Author(s)
      Chen Guan-Yu、Kumagai Takashi
    • Journal Title

      Stochastic Processes and their Applications

      Volume: 128 Pages: 3840~3879

    • DOI

      https://doi.org/10.1016/j.spa.2018.01.002

    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Heat kernel estimates for time fractional equations2018

    • Author(s)
      Chen Zhen-Qing、Kim Panki、Kumagai Takashi、Wang Jian
    • Journal Title

      Forum Mathematicum

      Volume: 30 Pages: 1163~1192

    • DOI

      https://doi.org/10.1515/forum-2017-0192

    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Cutoff for lamplighter chains on fractals2018

    • Author(s)
      Dembo Amir、Kumagai Takashi、Nakamura Chikara
    • Journal Title

      Electronic Journal of Probability

      Volume: 23 Pages: -

    • DOI

      doi:10.1214/18-EJP196

    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Limit theorems for persistence diagrams2018

    • Author(s)
      Hiraoka Yasuaki、Shirai Tomoyuki、Trinh Khanh Duy
    • Journal Title

      The Annals of Applied Probability

      Volume: 28 Pages: 2740~2780

    • DOI

      https://doi.org/10.1214/17-AAP1371

    • Peer Reviewed
  • [Journal Article] Finite-particle approximations for interacting Brownian particles with logarithmic potentials2018

    • Author(s)
      KAWAMOTO Yosuke、OSADA Hirofumi
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 70 Pages: 921~952

    • DOI

      10.2969/jmsj/75717571

    • Peer Reviewed
  • [Journal Article] Infinite-Dimensional Stochastic Differential Equations with Symmetry2018

    • Author(s)
      Osada Hirofumi
    • Journal Title

      Stochastic Partial Differential Equations and Related Fields

      Volume: 229 Pages: 549~559

    • DOI

      https://doi.org/10.1007/978-3-319-74929-7_38

    • Peer Reviewed / Open Access
  • [Journal Article] Mean Value Inequalities for Jump Processes2018

    • Author(s)
      Chen Zhen-Qing、Kumagai Takashi、Wang Jian
    • Journal Title

      Stochastic Partial Differential Equations and Related Fields

      Volume: 229 Pages: 421~437

    • DOI

      https://doi.org/10.1007/978-3-319-74929-7_28

    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Curvature Motion Perturbed by a Direction-Dependent Colored Noise2018

    • Author(s)
      Denis Clement、Funaki Tadahisa、Yokoyama Satoshi
    • Journal Title

      Stochastic Partial Differential Equations and Related Fields

      Volume: 229 Pages: 177~200

    • DOI

      https://doi.org/10.1007/978-3-319-74929-7_9

    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Excursion Processes Associated with Elliptic Combinatorics2018

    • Author(s)
      Hiroya Baba、Makoto Katori
    • Journal Title

      Journal of Statistical Physics

      Volume: 171 Pages: 1035~1066

    • DOI

      https://doi.org/10.1007/s10955-018-2045-6

    • Peer Reviewed / Open Access
  • [Journal Article] Exact Confirmation of 1D Nonlinear Fluctuating Hydrodynamics for a Two-Species Exclusion Process2018

    • Author(s)
      Chen Zeying、de Gier Jan、Hiki Iori、Sasamoto Tomohiro
    • Journal Title

      Physical Review Letters

      Volume: 120 Pages: -

    • DOI

      https://doi.org/10.1103/PhysRevLett.120.240601

    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Hydrodynamic Limit of Multiple SLE2018

    • Author(s)
      Ikkei Hotta、Makoto Katori
    • Journal Title

      Journal of Statistical Physics

      Volume: 171 Pages: 166~188

    • DOI

      https://doi.org/10.1007/s10955-018-1996-y

    • Peer Reviewed / Open Access
  • [Journal Article] Transient Dynamics of Double Quantum Dots Coupled to Two Reservoirs2018

    • Author(s)
      Fukadai Takahisa、Sasamoto Tomohiro
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 87 Pages: 054006~054006

    • DOI

      https://doi.org/10.7566/JPSJ.87.054006

    • Peer Reviewed
  • [Journal Article] Convergence of a finite volume scheme for a stochastic conservation law involving a Q-Brownian motion2018

    • Author(s)
      Funaki Tadahisa、Gao Yueyuan、Hilhorst Danielle
    • Journal Title

      Discrete & Continuous Dynamical Systems - B

      Volume: 23 Pages: 1459~1502

    • DOI

      10.3934/dcdsb.2018159

    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Derivation of coupled KPZ-Burgers equation from multi-species zero-range processes2019

    • Author(s)
      舟木直久
    • Organizer
      New Directions in Stochastic Analysis: Rough Paths
    • Int'l Joint Research / Invited
  • [Presentation] A scheme solving infinite-dimensional stochastic differential equations2019

    • Author(s)
      長田博文
    • Organizer
      Workshop on Random matrices stochastic geometry and related topics
    • Int'l Joint Research / Invited
  • [Presentation] Systems of hard balls with long-range interactions2019

    • Author(s)
      種村秀紀
    • Organizer
      Workshop on Random matrices stochastic geometry and related topics
    • Int'l Joint Research / Invited
  • [Presentation] Convergence theorems related to Airy interacting infinite dimensional stochastic differential equations2019

    • Author(s)
      河本陽介
    • Organizer
      Workshop on Random matrices stochastic geometry and related topics
    • Int'l Joint Research / Invited
  • [Presentation] Partial Isometries, Duality, and Determinantal Point Processes2019

    • Author(s)
      香取眞理
    • Organizer
      Workshop on Random matrices stochastic geometry and related topics
    • Int'l Joint Research / Invited
  • [Presentation] Determinantal point processes in high-dimensional spaces2019

    • Author(s)
      香取眞理
    • Organizer
      無限粒子系、確率場の諸問題XIV
  • [Presentation] Determinantal point processes on planes, tori, and spheres2019

    • Author(s)
      香取眞理
    • Organizer
      Spectra of Random Operators and Related Topics
    • Int'l Joint Research / Invited
  • [Presentation] Large deviation of spin current for the 1D XX spin chain2019

    • Author(s)
      笹本智弘
    • Organizer
      Spectra of Random Operators and Related Topics
    • Int'l Joint Research / Invited
  • [Presentation] KPZ fluctuations for a two species asymmetric exclusion process2019

    • Author(s)
      笹本智弘
    • Organizer
      Rikko MathPhys 2019
    • Invited
  • [Presentation] Determinantal point processes in high-dimensional spaces2019

    • Author(s)
      香取眞理
    • Organizer
      研究集会「無限粒子系、確率場の諸問題XIV」
  • [Presentation] Hydrodynamic limits for stochastic systems2019

    • Author(s)
      舟木直久
    • Organizer
      Gran Sasso Science Institute, Series of Lectures
    • Int'l Joint Research / Invited
  • [Presentation] Stochastic PDE approach to random interfaces2019

    • Author(s)
      舟木直久
    • Organizer
      Spring School on Random Interfaces Pisa-Augsburg School, Series of Lectures
    • Int'l Joint Research / Invited
  • [Presentation] リーマン多様体上の行列式点過程の普遍性2019

    • Author(s)
      香取眞理
    • Organizer
      研究集会「第26回沼津改め静岡研究会―幾何,数理物理,そして量子論―」
    • Invited
  • [Presentation] Dynamic determinantal point processes2018

    • Author(s)
      白井朋之
    • Organizer
      Ajou-Kyushu joint workshop on Industrial Mathematics
    • Int'l Joint Research / Invited
  • [Presentation] Limit theorems for determinantal point processes2018

    • Author(s)
      白井朋之
    • Organizer
      エルゴード理論研究集会
    • Invited
  • [Presentation] Uniqueness of solutions of infinite dimensional stochastic differential equations (1),(2)2018

    • Author(s)
      種村秀紀
    • Organizer
      2018年度「確率解析シンポジウム」
    • Int'l Joint Research / Invited
  • [Presentation] IFC condition for infinite-dimensional stochastic differential equations2018

    • Author(s)
      長田博文
    • Organizer
      第17回「大規模相互作用系の確率解析」
    • Int'l Joint Research / Invited
  • [Presentation] Universality of determinantal point processes on Riemannian manifolds2018

    • Author(s)
      白井朋之
    • Organizer
      第17回「大規模相互作用系の確率解析」
    • Int'l Joint Research / Invited
  • [Presentation] Transitions between dynamics of infinite particle systems associated with universal random point fields related to random matrices2018

    • Author(s)
      河本陽介
    • Organizer
      第17回「大規模相互作用系の確率解析」
    • Int'l Joint Research / Invited
  • [Presentation] Infinite particle systems with hard core and long range interactions2018

    • Author(s)
      種村秀紀
    • Organizer
      第17回「大規模相互作用系の確率解析」
    • Int'l Joint Research / Invited
  • [Presentation] Derivations of motion by mean curvature and Stefan problem from Glauber-Kawasaki dynamics2018

    • Author(s)
      舟木直久
    • Organizer
      第17回「大規模相互作用系の確率解析」
    • Int'l Joint Research / Invited
  • [Presentation] Derivations of motion by mean curvature and Stefan problem from Glauber-Kawasaki dynamics2018

    • Author(s)
      舟木直久
    • Organizer
      ReaDiNet 2018 Recent Progresses in Mathematical Theories for Biological Phenomena
    • Int'l Joint Research / Invited
  • [Presentation] Determinantal processes and spanning acycle entropy I, II2018

    • Author(s)
      白井朋之
    • Organizer
      RIMS共同研究(グループ型)「エルゴード理論の最近の発展」
    • Int'l Joint Research / Invited
  • [Presentation] 無限粒子系の確率解析学 -古典的確率解析の新展開とランダム行列の力学的普遍性-2018

    • Author(s)
      長田博文
    • Organizer
      2018年度 日本数学会 秋季総合分科会
    • Int'l Joint Research / Invited
  • [Presentation] Fluctuations of the stochastic higher spin six vertex model2018

    • Author(s)
      笹本智弘
    • Organizer
      ガウス自由場および関連する話題
    • Int'l Joint Research / Invited
  • [Presentation] Elliptic DPP, one-component plasma, and GFF2018

    • Author(s)
      香取眞理
    • Organizer
      ガウス自由場および関連する話題
    • Int'l Joint Research / Invited
  • [Presentation] Dynamical universality for random matrices2018

    • Author(s)
      長田博文
    • Organizer
      9th Internatinal Conference on Stochastic Analysis and its Applications
    • Int'l Joint Research / Invited
  • [Presentation] Spanning acycle entropy for cubicalcomplexes2018

    • Author(s)
      白井朋之
    • Organizer
      Modern Developments in Algebraic Dynamics: Challenges and Opportunities
    • Int'l Joint Research / Invited
  • [Presentation] Coupled KPZ equation2018

    • Author(s)
      舟木直久
    • Organizer
      2018 Probability Workshop in Gyeongju
    • Int'l Joint Research / Invited
  • [Presentation] 山田-渡辺理論と無限粒子系2018

    • Author(s)
      長田博文
    • Organizer
      確率解析とその応用(楠岡成雄先生学士院賞受賞記念研究集会)
    • Int'l Joint Research / Invited
  • [Presentation] Derivation of motion by mean curvature and Stefan problem from particle systems2018

    • Author(s)
      舟木直久
    • Organizer
      Workshop on Stochastic partial differential equation and related topics
    • Int'l Joint Research / Invited
  • [Presentation] Large deviation of a tagged particle in 1D symmetric exclusion process2018

    • Author(s)
      笹本智弘
    • Organizer
      XIX International Congress on Mathematical Physics
    • Int'l Joint Research
  • [Presentation] Quenched invariance principle for random walks among random conductances with stable-like jumps2018

    • Author(s)
      熊谷隆
    • Organizer
      Montreal Summer Workshop on Challenges in Probability and Mathematical Physics
    • Int'l Joint Research / Invited
  • [Presentation] Infinite-dimensional stochastic differential equation with symmetry2018

    • Author(s)
      長田博文
    • Organizer
      International Program on Regularity Structures and Stochastic Systems
    • Int'l Joint Research / Invited
  • [Presentation] Motion by mean curvature from Glauber-Kawasaki dynamics2018

    • Author(s)
      舟木直久
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Int'l Joint Research / Invited
  • [Presentation] Diffusion in Coulomb environment and a phase transition2018

    • Author(s)
      長田博文
    • Organizer
      The 12th AIMS Conference on Dynamical Systems
    • Int'l Joint Research / Invited
  • [Presentation] Limit theorems for interacting Brownian motions I, II, III2018

    • Author(s)
      香取眞理
    • Organizer
      Mini Workshop: Modern theory of Particle Systems Mini Workshop: Modern theory of Particle Systems, Wroclaw, Poland, 27 - 29 June 2018
    • Int'l Joint Research / Invited
  • [Presentation] Limit theorems for persistence diagrams2018

    • Author(s)
      白井朋之
    • Organizer
      The 5th Institute of Mathematical Statistics, Asia Pacific Rim Meeting
    • Int'l Joint Research / Invited
  • [Presentation] Motion by mean curvature from Glauber-Kawasaki dynamics2018

    • Author(s)
      舟木直久
    • Organizer
      Workshop on Interplay of Random Media and Stochastic Interface Model
    • Int'l Joint Research / Invited
  • [Presentation] Bessel Processes, Schramm-Loewner Evolution, and the Dyson Model2018

    • Author(s)
      香取眞理
    • Organizer
      Colloquium Universite D’Angers, Faculte des Sciences, Department de Mathematiques, June 15, 2018
    • Int'l Joint Research / Invited
  • [Presentation] Systems of infinitely many hard balls with long range interaction2018

    • Author(s)
      種村秀紀
    • Organizer
      Random matrices and their applications
    • Int'l Joint Research / Invited
  • [Presentation] Macdonald denominators for affine root systems, orthogonal theta functions, and elliptic determinantal processes2018

    • Author(s)
      香取眞理
    • Organizer
      Random matrices and their applications
    • Int'l Joint Research / Invited
  • [Presentation] Dynamical universality for the Airy random point field2018

    • Author(s)
      河本陽介
    • Organizer
      Random matrices and their applications
    • Int'l Joint Research / Invited
  • [Presentation] Fluctuations of stationary KPZ models and multiple integral2018

    • Author(s)
      笹本智弘
    • Organizer
      Random matrices and their applications
    • Int'l Joint Research / Invited
  • [Presentation] Derivation of coupled KPZ equation from multi-color zero-range processes2018

    • Author(s)
      舟木直久
    • Organizer
      セミナー
    • Int'l Joint Research / Invited
  • [Presentation] KPZ fluctuations for one-dimensional two species exclusion process2018

    • Author(s)
      笹本智弘
    • Organizer
      19th International Congress in Mathematical Physics (ICMP2018)
    • Int'l Joint Research
  • [Presentation] Discrete KPZ models and Frobenius determinant2018

    • Author(s)
      笹本智弘
    • Organizer
      Symmetries and Integrability of Difference Equations (SIDE13)
    • Int'l Joint Research / Invited
  • [Presentation] 1次元非平衡多体系におけるKPZ揺らぎ2018

    • Author(s)
      笹本智弘
    • Organizer
      乱流と遷移:構造、多重スケール、モデル
    • Invited
  • [Presentation] 1次元揺らぐ流体力学における熱モードのより直接的な解析2018

    • Author(s)
      笹本 智弘, 藤平 悠太
    • Organizer
      2018年度日本物理学会秋季大会
  • [Presentation] Coupled KPZ (Kardar-Parisi-Zhang) equation2018

    • Author(s)
      舟木直久
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Special Session 23
    • Int'l Joint Research / Invited
  • [Presentation] Hydrodynamic limit for exclusion processes2018

    • Author(s)
      舟木直久
    • Organizer
      KAIST Summer School in Probability 2018, Series of Lectures
    • Int'l Joint Research / Invited
  • [Presentation] 1.Homogenization of symmetric stable-like processes in random media2018

    • Author(s)
      熊谷隆
    • Organizer
      Advances in Asymptotic Probability
    • Int'l Joint Research / Invited
  • [Presentation] Quenched invariance principle for random walks among random conductances with stable-like jumps2018

    • Author(s)
      熊谷隆
    • Organizer
      Interplay of Random Media and Stochastic Interface Models
    • Int'l Joint Research / Invited
  • [Presentation] Limit theorems for random analytic functions and their zeros2018

    • Author(s)
      白井朋之
    • Organizer
      確率・ 統計・ 行列ワークショップ 彦根 2018
    • Invited
  • [Book] 確率偏微分方程式2019

    • Author(s)
      舟木 直久、乙部 厳己、謝 賓
    • Total Pages
      350
    • Publisher
      岩波書店
    • ISBN
      9784000298254
  • [Remarks] 無限粒子系の確率解析学(日本語版)

    • URL

      https://www2.math.kyushu-u.ac.jp/~osada-labo/kiban_s_HP/index.html

  • [Remarks] 無限粒子系の確率解析学(英語版)

    • URL

      https://www2.math.kyushu-u.ac.jp/~osada-labo/kiban_s_HP/en/index.html

  • [Funded Workshop] Random matrices and their applications2018

  • [Funded Workshop] 大規模相互作用系の確率解析 "17th Stochastic Analysis on Large Scale Interacting Systems"2018

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Published: 2021-01-27  

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