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Nakashima Makoto  中島 誠

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NAKASHIMA Makoto  中島 誠

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Researcher Number 60635902
Affiliation (Current) 2022: 名古屋大学, 多元数理科学研究科, 准教授
Affiliation (based on the past Project Information) *help 2015 – 2022: 名古屋大学, 多元数理科学研究科, 准教授
2012 – 2014: 筑波大学, 数理物質系, 助教
Review Section/Research Field
Principal Investigator
Basic Section 12010:Basic analysis-related / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis
Except Principal Investigator
Basic Section 12010:Basic analysis-related
Keywords
Principal Investigator
ディレクティドポリマー / KPZ方程式 / 確率熱方程式 / ランダム媒質 / 統計力学 / ピニング模型 / ランダム媒質中のディレクティドポリマー / 一意性 / 測度値確率過程 / SPDE … More / ランダム環境中の分枝ランダムウォーク / 相転移 / 臨界点 / 分枝ランダムウォーク / 分枝過程 / ランダム環境 / ピニング / 自由エネルギー / ランダムウォークピンニング模型 / ランダム環境中 / DPRE / Edwards-Wilkinsonモデル / グラフ / 普遍性 … More
Except Principal Investigator
フラクタル上のポテンシャル論 / フラクタル上の確率過程 / フラクタル上の確率熱方程式 / Liouville Brown運動 / 測度のマルチフラクタル解析 / フラクタル上の解析学 / ポテンシャル論 / エネルギー測度 / ランダム媒質中のディレクティドポリマー / 自由エネルギー / フラクタル幾何学 / 3次元一様全域木 / 劣ガウス型熱核評価 / ランダムフラクタル Less
  • Research Projects

    (6 results)
  • Research Products

    (45 results)
  • Co-Researchers

    (4 People)
  •  Analysis, geometry and their interplays on fractals and stochastic processes on them

    • Principal Investigator
      梶野 直孝
    • Project Period (FY)
      2022 – 2026
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Kyoto University
  •  ランダム媒質中で時間発展する確率模型の研究Principal Investigator

    • Principal Investigator
      中島 誠
    • Project Period (FY)
      2022 – 2026
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Nagoya University
  •  Analysis of statistical mechanical models evolving in random mediaPrincipal Investigator

    • Principal Investigator
      中島 誠
    • Project Period (FY)
      2018 – 2022
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Nagoya University
  •  Analysis and geometry of fractals and stochastic processes on them from field-transverse viewpoints

    • Principal Investigator
      梶野 直孝
    • Project Period (FY)
      2018 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Kyoto University
      Kobe University
  •  Analysis of branching process with interacting particle systemsPrincipal Investigator

    • Principal Investigator
      Nakashima Makoto
    • Project Period (FY)
      2014 – 2017
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Basic analysis
    • Research Institution
      Nagoya University
      University of Tsukuba
  •  Phase transition in stochastic models and its analysis near critical pointPrincipal Investigator

    • Principal Investigator
      NAKASHIMA Makoto
    • Project Period (FY)
      2012 – 2013
    • Research Category
      Grant-in-Aid for Research Activity Start-up
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      University of Tsukuba

All 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 Other

All Journal Article Presentation Book

  • [Book] 確率論ハンドブック2012

    • Author(s)
      渡辺信三, 重川一郎 (他, 中島誠)
    • Publisher
      丸善出版
    • Data Source
      KAKENHI-PROJECT-24840007
  • [Journal Article] The period group of a characteristic function2022

    • Author(s)
      Ryoki Fukushima, Nobuo Yoshida, Makoto Nakashima
    • Journal Title

      Real Analysis Exchange

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K13423
  • [Journal Article] Free energy of directed polymer in random environment in 1+1-dimension at high temperature2019

    • Author(s)
      Makoto Nakashima
    • Journal Title

      Free energy of directed polymer in random environment in 1+1-dimension at high temperature. Electronic Journal of Probability

      Volume: 24

    • DOI

      10.1214/19-ejp292

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18K13423
  • [Journal Article] The free energy of the random walk pinning model2018

    • Author(s)
      Nakashima Makoto
    • Journal Title

      Stochastic Processes and their Applications

      Volume: 128 Pages: 373-403

    • DOI

      10.1016/j.spa.2017.04.015

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26800051
  • [Journal Article] Branching random walks in random environment and Super-Brownian motion in random environment2015

    • Author(s)
      Makoto Nakashima
    • Journal Title

      Annales de l’Institut Henri Poincare

      Volume: 印刷中

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-26800051
  • [Journal Article] A remark on the bound for the free energy of directed polymers in random environment in 1+2 dimension2014

    • Author(s)
      Makoto Nakashima
    • Journal Title

      Journal of Mathematical Physics

      Volume: 55 Pages: 1-14

    • DOI

      10.1063/1.4895760

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-26800051
  • [Journal Article] Branching random walks in random environment and Super-Brownian motion in random environment2014

    • Author(s)
      Makoto Nakashima
    • Journal Title

      Annales de L'Institut Henri Poincare

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24840007
  • [Presentation] Gaussian fluctuations of stochastic heat equation and KPZ equation in higher dimension in L2 regime2022

    • Author(s)
      Makoto Nakashima
    • Organizer
      Workshop on Probabilistic Methods in Statistical Mechanics of Random Media and Random Fields,
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13423
  • [Presentation] Fluctuation in L 2 -region for stochastic heat equation and KPZ equation in higher dimension2021

    • Author(s)
      Makoto Nakashima
    • Organizer
      日本数学会2021年度年会
    • Data Source
      KAKENHI-PROJECT-18K13423
  • [Presentation] Fluctuation in L2-region for stochastic heat equation and KPZ equation in higher dimension.2021

    • Author(s)
      Makoto Nakashima
    • Organizer
      関西確率論セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13423
  • [Presentation] 高次元確率熱方程式とKPZ 方程式のL2-領域における解の摂動2021

    • Author(s)
      Makoto Nakashima
    • Organizer
      大規模相互作用系の確率解析
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13423
  • [Presentation] Gaussian fluctuations of stochastic heat equation and KPZ equation in higher dimension in subcritical regime.2021

    • Author(s)
      Makoto Nakashima
    • Organizer
      Rigorous Statistical Mechanics and Related Topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13423
  • [Presentation] 高次元確率熱方程式と KPZ 方程式のL^2-領域における摂動2020

    • Author(s)
      Makoto Nakashima
    • Organizer
      確率論シンポジウム
    • Data Source
      KAKENHI-PROJECT-18K13423
  • [Presentation] Free energy of directed polymers in random environment2019

    • Author(s)
      Makoto Nakashima
    • Organizer
      The First China-Japan-Korea Probability Worksho@
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13423
  • [Presentation] Free energy of directed polymers in random environment2019

    • Author(s)
      Makoto Nakashima
    • Organizer
      Okayama Workshop on Stochastic Analysis 2019
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13423
  • [Presentation] Random pinning model related to directed polymers in random environment2019

    • Author(s)
      Makoto Nakashima
    • Organizer
      Japan-Netherlands Workshop: Probabilistic Methods of Statistical Mechanics of Random Media
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13423
  • [Presentation] Free energy of directed polymers in random environment in 1+1 dimension2018

    • Author(s)
      Makoto Nakashima
    • Organizer
      Workshop on “Stochastic partial differential equations and related topics”
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13423
  • [Presentation] Free energy of directed polymers in random environment2018

    • Author(s)
      Makoto Nakashima
    • Organizer
      Gaussian Free Fields and Related Topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13423
  • [Presentation] ランダム媒質中のディレクティドポリマー2018

    • Author(s)
      中島誠
    • Organizer
      2018 年確率論早春セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-26800051
  • [Presentation] ランダム環境中の1次元ディレクティドポリマーの自由エネルギーの高温での挙動について2017

    • Author(s)
      中島誠
    • Organizer
      新潟確率論ワークショップ
    • Place of Presentation
      新潟大学ときめいとキャンパス
    • Year and Date
      2017-03-16
    • Data Source
      KAKENHI-PROJECT-26800051
  • [Presentation] On the asymptotics of the free energy of directed polymers in random environment in 1+1 dimension2017

    • Author(s)
      Makoto Nakashima
    • Organizer
      Japanese-German Open Conference on Stochastic Analysis 2017
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26800051
  • [Presentation] Asymptotics of the free energy of 1+1 directed polymers in random environment at high temperature2017

    • Author(s)
      Makoto Nakashima
    • Organizer
      Large scale properties of partial differential equations with random coefficients
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26800051
  • [Presentation] Branching random walks in random environment2017

    • Author(s)
      Makoto Nakashima
    • Organizer
      Stochastic processes and their applications 2017
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26800051
  • [Presentation] On the asymptotics of the free energy of directed polymers in random environment in 1+1 dimension2017

    • Author(s)
      Makoto Nakashima
    • Organizer
      16th International symposium "Stochastic Analysis on Large Scale Interacting Systems",
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26800051
  • [Presentation] On the asymptotics of the free energy of directed polymers on hierarchical lattice2016

    • Author(s)
      中島誠
    • Organizer
      15th Stochastic Analysis on Large Scale Interacting Systems
    • Place of Presentation
      東京大学
    • Year and Date
      2016-11-02
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26800051
  • [Presentation] Phase transitions of random walk pinning model2015

    • Author(s)
      中島誠
    • Organizer
      Stochastic Analysis on Large Scale Interacting Systems
    • Place of Presentation
      京都大学
    • Year and Date
      2015-10-26
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26800051
  • [Presentation] 生物人口模型から現れる確率偏微分方程式2015

    • Author(s)
      中島誠
    • Organizer
      HMAセミナー冬の研究会2015
    • Place of Presentation
      広島大学
    • Year and Date
      2015-01-09
    • Invited
    • Data Source
      KAKENHI-PROJECT-26800051
  • [Presentation] Phase transitions of random walk pinning model2015

    • Author(s)
      中島誠
    • Organizer
      Stochastic Analysis and Applications
    • Place of Presentation
      東北大学
    • Year and Date
      2015-08-31
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26800051
  • [Presentation] Critical points on directed polymers in random environment2015

    • Author(s)
      中島誠
    • Organizer
      New Trends in Stochastic Analysis
    • Place of Presentation
      国際高等研究所
    • Year and Date
      2015-06-06
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26800051
  • [Presentation] 1+2次元ランダム媒質中のディレクティドポリマーの自由エネルギーの高温度での評価2014

    • Author(s)
      中島誠
    • Organizer
      日本数学会2014年度秋季総合分科会
    • Place of Presentation
      広島大学
    • Year and Date
      2014-09-26
    • Data Source
      KAKENHI-PROJECT-26800051
  • [Presentation] Branching random walks in random environment and stochastic heat equation, Stochastic Analysis on Large Scale Interacting Systems2014

    • Author(s)
      Makoto Nakashima
    • Organizer
      Stochastic Analysis on Large Scale Interacting Systems
    • Place of Presentation
      東京大学
    • Year and Date
      2014-11-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-26800051
  • [Presentation] Stochastic heat equation arising from a certain branching systems in random environment2014

    • Author(s)
      Makoto Nakashima
    • Organizer
      2014年度確率解析シンポジウム
    • Place of Presentation
      東北大学
    • Year and Date
      2014-10-14
    • Invited
    • Data Source
      KAKENHI-PROJECT-26800051
  • [Presentation] Branching random walks in random environment2013

    • Author(s)
      中島誠
    • Organizer
      2013年度日本数学会秋季分科会
    • Place of Presentation
      愛媛大学
    • Year and Date
      2013-09-24
    • Data Source
      KAKENHI-PROJECT-24840007
  • [Presentation] ランダム環境中のスーパーブラウン運動2013

    • Author(s)
      中島誠
    • Organizer
      2013年度日本数学会年会
    • Place of Presentation
      京都大学
    • Year and Date
      2013-03-20
    • Data Source
      KAKENHI-PROJECT-24840007
  • [Presentation] Super-Brownian motion in random environment arising from branching random walks in random environment2013

    • Author(s)
      中島誠
    • Organizer
      The 2^<nd> workshop on Universality and Scaling Limits in Probability and Statistical Mechanics
    • Place of Presentation
      北海道大学
    • Year and Date
      2013-08-06
    • Data Source
      KAKENHI-PROJECT-24840007
  • [Presentation] Branching random walks in random environment2013

    • Author(s)
      中島誠
    • Organizer
      日本数学会2013年度秋季総合分科会
    • Place of Presentation
      愛媛大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-24840007
  • [Presentation] Branching random walks in random environment and super-Brownian motion in random environment2013

    • Author(s)
      Makoto Nakashima
    • Organizer
      Applicatios of RG Methods in Mathematical Sciences
    • Place of Presentation
      京都大学 数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-24840007
  • [Presentation] ランダム環境中の超過程と双対過程2013

    • Author(s)
      中島誠
    • Organizer
      新潟確率論ワークショップ
    • Place of Presentation
      新潟大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-24840007
  • [Presentation] ランダム環境中の分枝ランダムウォークと双対過程2013

    • Author(s)
      中島誠
    • Organizer
      新潟確率論ワークショップ
    • Place of Presentation
      新潟大学
    • Year and Date
      2013-12-05
    • Data Source
      KAKENHI-PROJECT-24840007
  • [Presentation] Super-Brownian motion in random environment arising from branching random walks in random environemt2013

    • Author(s)
      Makoto Nakashima
    • Organizer
      The 2nd workshop on University and Scaling Limits in Probability and Statistical Mechanics
    • Place of Presentation
      北海道大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-24840007
  • [Presentation] Branching random walks in random environment and super-Brownian motion in random environment2013

    • Author(s)
      中島誠
    • Organizer
      Applications of RG methods in Mathematical Sciences
    • Place of Presentation
      数理解析研究所 (京都大学)
    • Year and Date
      2013-09-11
    • Data Source
      KAKENHI-PROJECT-24840007
  • [Presentation] ランダム環境中の分枝ランダムウォークと測度値確率過程2012

    • Author(s)
      中島誠
    • Organizer
      確率論シンポジウム
    • Place of Presentation
      京都大学
    • Year and Date
      2012-12-20
    • Data Source
      KAKENHI-PROJECT-24840007
  • [Presentation] Super-Brownian motion in random environment and heat equation with noise2012

    • Author(s)
      中島誠
    • Organizer
      Stochastic Analysis and Applications
    • Place of Presentation
      岡山大学
    • Year and Date
      2012-09-28
    • Data Source
      KAKENHI-PROJECT-24840007
  • [Presentation] Super-Brownian motion in random environment and heat equation with white noise.

    • Author(s)
      中島誠
    • Organizer
      Stochastic Analysis and Applications
    • Place of Presentation
      岡山大学
    • Data Source
      KAKENHI-PROJECT-24840007
  • [Presentation] ランダム環境中の分枝ランダムウォークと測度値確率過程

    • Author(s)
      中島誠
    • Organizer
      確率論シンポジウム
    • Place of Presentation
      数理解析研究所(京都)
    • Data Source
      KAKENHI-PROJECT-24840007
  • 1.  梶野 直孝 (90700352)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 2.  白石 大典 (00647323)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 3.  田中 亮吉 (80629759)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 4.  Croydon David (50824182)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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