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Mori Takahiro  森 隆大

ORCIDConnect your ORCID iD *help
Researcher Number 80909911
Other IDs
Affiliation (Current) 2025: 京都工芸繊維大学, 基盤科学系, 助教
Affiliation (based on the past Project Information) *help 2021 – 2025: 京都工芸繊維大学, 基盤科学系, 助教
Review Section/Research Field
Principal Investigator
Basic Section 12010:Basic analysis-related / 0201:Algebra, geometry, analysis, applied mathematics,and related fields
Except Principal Investigator
Basic Section 12010:Basic analysis-related
Keywords
Principal Investigator
確率過程 / オーリッチ空間 / ソボレフ埋蔵定理 / ディリクレ形式 / random interlacement / Katoクラス測度 / intersection measure / Sobolev不等式 / Dirichlet形式
Except Principal Investigator
スペクトル下限 … More / 確率熱方程式 / 容量 / フェラー性 / 反射壁ブラウン運動 / 熱核 / 対称マルコフ過程 / コンパクト性 / ハウスドルフ次元 / フラクタル構造 / ディリクレ形式 / マルコフ過程 Less
  • Research Projects

    (3 results)
  • Research Products

    (19 results)
  • Co-Researchers

    (2 People)
  •  確率過程の軌跡の交差現象とソボレフ空間の補間不等式との相互解析Principal Investigator

    • Principal Investigator
      森 隆大
    • Project Period (FY)
      2025 – 2029
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Kyoto Institute of Technology
  •  Symmetric Markov processes: sample path analysis and functional analytic properties

    • Principal Investigator
      塩沢 裕一
    • Project Period (FY)
      2023 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Doshisha University
      Osaka University
  •  Sobolev-Orlicz embedding theorems for Dirichlet spaces and their probabilistic interpretationPrincipal Investigator

    • Principal Investigator
      Mori Takahiro
    • Project Period (FY)
      2021 – 2023
    • Research Category
      Grant-in-Aid for Research Activity Start-up
    • Review Section
      0201:Algebra, geometry, analysis, applied mathematics,and related fields
    • Research Institution
      Kyoto Institute of Technology

All 2024 2023 2022 2021

All Journal Article Presentation

  • [Journal Article] Large deviation principle for the intersection measure of Brownian motions on unbounded domains2023

    • Author(s)
      Mori Takahiro
    • Journal Title

      Annales de l'Institut Henri Poincare, Probabilites et Statistiques

      Volume: 59 Issue: 1 Pages: 345-363

    • DOI

      10.1214/22-aihp1244

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K20326
  • [Journal Article] $L^p$-Kato class measures for symmetric Markov processes under heat kernel estimates2021

    • Author(s)
      Kazuhiro Kuwae, Takahiro Mori
    • Journal Title

      Mathematische Annalen

      Volume: - Issue: 3-4 Pages: 999-1031

    • DOI

      10.1007/s00208-021-02192-9

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K20326, KAKENHI-PROJECT-22H04942, KAKENHI-PROJECT-19H00643
  • [Presentation] Interpretation of capacities and hitting distributions via the boundary theory for symmetric Markov processes (ポスター発表)2024

    • Author(s)
      森隆大
    • Organizer
      French Japanese Conference on Probability & Interactions
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K20326
  • [Presentation] Interpretation of capacities and hitting distributions via the boundary theory for symmetric Markov processes2023

    • Author(s)
      森 隆大
    • Organizer
      関西確率論セミナー
    • Data Source
      KAKENHI-PROJECT-23K25773
  • [Presentation] Interpretation of capacity by Markov processes starting from infinity2023

    • Author(s)
      森隆大
    • Organizer
      福岡大学確率論セミナー
    • Data Source
      KAKENHI-PROJECT-21K20326
  • [Presentation] Interpretation of capacities and hitting distributions via the boundary theory for symmetric Markov processes2023

    • Author(s)
      森隆大
    • Organizer
      関西確率論セミナー
    • Data Source
      KAKENHI-PROJECT-21K20326
  • [Presentation] Interpretation of capacity by Markov processes starting from infinity2023

    • Author(s)
      森 隆大
    • Organizer
      福岡大学確率論セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K25773
  • [Presentation] Interpretation of capacity by Markov processes starting from infinity2023

    • Author(s)
      森隆大
    • Organizer
      マルコフ過程とその周辺
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K20326
  • [Presentation] Interpretation of capacities and hitting distributions via the boundary theory for symmetric Markov processes2023

    • Author(s)
      森 隆大
    • Organizer
      関西大学確率論セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K25773
  • [Presentation] Interpretation of capacities and hitting distributions via the boundary theory for symmetric Markov processes2023

    • Author(s)
      森隆大
    • Organizer
      関西大学確率論セミナー
    • Data Source
      KAKENHI-PROJECT-21K20326
  • [Presentation] Interpretation of capacities and hitting distributions via the boundary theory for symmetric Markov processes (ポスター発表)2023

    • Author(s)
      森隆大
    • Organizer
      Stochastic Processes and Related Fields
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K20326
  • [Presentation] $L^p$-Kato class measures for symmetric Markov processes under heat kernel estimates2022

    • Author(s)
      森隆大
    • Organizer
      Geometry and Probability 2021
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K20326
  • [Presentation] 非有界領域上のブラウン運動に対するintersection measureの大偏差原理2022

    • Author(s)
      森隆大
    • Organizer
      関西大学確率論セミナー
    • Data Source
      KAKENHI-PROJECT-21K20326
  • [Presentation] $L^p$-Kato class measures and their $L^p$-Green-tightness for symmetric Markov processes2022

    • Author(s)
      森隆大
    • Organizer
      九州確率論セミナー
    • Data Source
      KAKENHI-PROJECT-21K20326
  • [Presentation] $L^p$-Green-tightness for symmetric Markov processes and its application to the intersection measures2022

    • Author(s)
      森隆大
    • Organizer
      マルコフ過程とその周辺
    • Data Source
      KAKENHI-PROJECT-21K20326
  • [Presentation] Capacity, excursion around infinity and random interlacements2021

    • Author(s)
      森隆大
    • Organizer
      確率論若手セミナー・オンライン
    • Data Source
      KAKENHI-PROJECT-21K20326
  • [Presentation] Analysis of $L^p$-Kato class measures for symmetric Markov processes2021

    • Author(s)
      森隆大
    • Organizer
      確率解析とその周辺
    • Data Source
      KAKENHI-PROJECT-21K20326
  • [Presentation] Large deviation principle for the intersection measure of Brownian motions on unbounded domains2021

    • Author(s)
      森隆大
    • Organizer
      The 19th Symposium Stochastic Analysis on Large Scale Interacting Systems
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K20326
  • [Presentation] $L^p$-Kato class measures and their relations with Sobolev embedding theorems for Dirichlet spaces2021

    • Author(s)
      森隆大
    • Organizer
      関西大学確率論セミナー
    • Data Source
      KAKENHI-PROJECT-21K20326
  • 1.  塩沢 裕一 (60454518)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 2.  松浦 浩平 (90874355)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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