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Liang Song  梁 松

ORCIDConnect your ORCID iD *help
… Alternative Names

LIANG Song  梁 松

梁 しょう  リョウ ショウ

梁 淞  リヨウ シヨウ

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Researcher Number 60324399
Other IDs
External Links
Affiliation (Current) 2022: 早稲田大学, 教育・総合科学学術院, 教授
Affiliation (based on the past Project Information) *help 2019 – 2021: 早稲田大学, 教育・総合科学学術院, 教授
2011 – 2018: 筑波大学, 数理物質系, 准教授
2008 – 2010: University of Tsukuba, 大学院・数理物質科学研究科, 准教授
2008: 筑波大学, 数理物質科学研究科, 准教授
2007: Tohoku University, 大学院・情報科学研究科, 准教授 … More
2006: 東北大学, 大学院情報科学研究科, 助教授
2004 – 2006: 東北大学, 大学院・情報科学研究科, 助教授
2002 – 2003: Nagoya University, Graduate school of mathemati Assistant, 大学院・多元数理科学研究科, 助手
2001: 名大, 多元数理科学研究科, 助手 Less
Review Section/Research Field
Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / Basic Section 12010:Basic analysis-related
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
拡散過程 / 古典力学系 / 確率論 / 量子場 / Hoegh-Krohnモデル / ラテス近似 / 理想気体 / 総エネルギー / 大偏差原理 / 精密評価 … More / ラプラス近似 / グリーン作用素 / 補間理論 / エルゴード性 / $\phi_34$-モデル / ウィック・パワー / フリー量子場 / ウィック指数関数 / Hida分布 / $ phi_3^4 $-モデル / 部分積分公式 / Levy-Khinchine表現 / ハミルトニアン / 相対効果 / 波環境 / マルコフ過程 / Black-Scholes model / implied volatility / 誤差評価 / 確率微分方程式 / 収束 / 強ポテンシャル / 経験分布 / 過程の収束 / 1次元 / ノンランダム力学系 / 等速運動 / 確率ハミルトン方程式 / ブラウン運動 / 確率過程の収束 / 低次元 … More
Except Principal Investigator
拡散過程 / 無限粒子系 / ランダム行列 / 確率力学系 / 確率論 / 確率解析 / 推移確率密度 / スペクトル関数 / ベッセル過程 / Sierpinski Carpet / 行列式過程 / フェルミオン / Dysonモデル / 2次元プラズマ / Ginibre Ensemble / 無限次元確率微分方程式 / 対数ポテンシャル / 流体の方程式 / Fermion測度 / フェルミオン測度 / Fermion measure / ランダムマトリックス / Bessel過程 / D:richlet form / 解析学 / 統計力学 / 確率場 / くりこみ群 / スケール極限 / 確率過程 / 力学系 / 非マルコフ / 自己回避経路 / 二分木 / 確率ランキング模型 / Burgers方程式 / 固定点の唯一性 / 自己回避路 / 高次元ガスケット / 確率連鎖 / 流体力学極限 / 数理ファイナンス / ブラックショールズ / 非マルコフ確率過程 / 自己抑制経路 / 変位の指数 / 量子確率論 / ホワイトノイズ解析 / 無限次元解析 / 複雑ネットワーク / 直交多項式 / フーリエ-ガウス変換 / 量子中心極限定理 / フーリエ・ガウス変換 / Kreinの対応 / 1次元拡散過程 / 極限円 / 推移確率 / スペクトル関数の漸近挙動 / 正則変動関数 / タウバー型定理 / 2階微分作用素 / hitting time / Dirichlet形式 / フラクタル / 等周不等式 / マルコフ過程 / determinantal random point field / Dirichlet form / heat kernel / ディリクレ形式 / パーコレーション / diffusion processes / Dirichlet forms / Fractal / Iso perimetic inequality / Marka process / Random Matrix / determinantal randomu-point field / ポアンカレ上半平面 / ラプラシアン / ブラウン運動 / セルバーグ跡公式 / 指数型ウィナー汎関数 / ウイシャート過程 / リーマン対称空間 / レヴィの定理 / ピットマンの定理 / Poncare upper half plane / Laplacian / Brownian motions / Selberg trace formula / exponential Wiener functionals Less
  • Research Projects

    (15 results)
  • Research Products

    (63 results)
  • Co-Researchers

    (44 People)
  •  拡散過程の特異性がある古典力学系による導出Principal Investigator

    • Principal Investigator
      梁 松
    • Project Period (FY)
      2021 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Waseda University
  •  拡散過程の古典力学系モデルPrincipal Investigator

    • Principal Investigator
      梁 松
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Waseda University
      University of Tsukuba
  •  Deriving stochastic crystal model from Hamiltonian dynamical system and the effect of relative effecacyPrincipal Investigator

    • Principal Investigator
      LIANG Song
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Basic analysis
    • Research Institution
      University of Tsukuba
  •  Asymptoic theory of the spectral functions of one-dimensional second order differential operators and its applications to diffusion processes

    • Principal Investigator
      Kasahara Yuji
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      University of Tsukuba
  •  New approach to spectral theory of generalized second-order differential operators and its applications to probability theory

    • Principal Investigator
      KASAHARA Yuji
    • 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
      University of Tsukuba
  •  Deriving crystallizing probability model from classical mechanicsPrincipal Investigator

    • Principal Investigator
      LIANG Song
    • Project Period (FY)
      2009 – 2012
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      University of Tsukuba
  •  Quantum Probability Theory and Infinite Dimensional Analysis

    • Principal Investigator
      OBATA Nobuaki
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University
  •  Deriving Diffusion Processes from Newtonian MechanicsPrincipal Investigator

    • Principal Investigator
      LIANG Song
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      University of Tsukuba
      Tohoku University
  •  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
  •  Towards a mathematical foundation of renormalization group oriented stochastic analysis

    • Principal Investigator
      HATTORI Tetsuya
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tohoku University
  •  ランダム行列に関連する無限次元確率力学系

    • Principal Investigator
      OSADA Hirofumi
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
      Nagoya University
  •  大偏差原理に関連する精密評価Principal Investigator

    • Principal Investigator
      梁 淞
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tohoku University
      Nagoya University
  •  Stochastic analysis and its application to analysis of differential operators

    • Principal Investigator
      MATSUMOTO Hiroyuki
    • 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
      Nagoya University
  •  多次元拡散過程における大偏差原理及びその精密評価Principal Investigator

    • Principal Investigator
      梁 淞
    • Project Period (FY)
      2001
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      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

All 2019 2018 2017 2016 2015 2014 2013 2012 2010 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation

  • [Journal Article] A mechanical model of Brownian motion for one massive particle including slow light particles2018

    • Author(s)
      Song Liang
    • Journal Title

      Journal of Statistical Physics

      Volume: 170

    • DOI

      10.1007/s10955-017-1934-4

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05290
  • [Journal Article] Stochastic Newton equation in Strong potential limit2016

    • Author(s)
      Song Liang
    • Journal Title

      Stochastic Processes and their Applications

      Volume: 126

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25800056
  • [Journal Article] A Mechanical model of Brownian motion with uniform motion area2014

    • Author(s)
      Song Liang
    • Journal Title

      J. Math. Sci. Univ. Tokyo

      Volume: 21

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25800056
  • [Journal Article] Stochastic Hamiltonian Equation With Uniform Motion Area2013

    • Author(s)
      Song Liang
    • Journal Title

      Dynamic Systems and Applications

      Volume: 22 Pages: 557-589

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25800056
  • [Journal Article] A classical mechanical model of Brownian motion with one particle coupled to a random wave field2012

    • Author(s)
      Shigeo Kusuoka, Song Liang
    • Journal Title

      Stochastic Analysis and Applications

      Volume: vol.30 Pages: 493-528

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740063
  • [Journal Article] A classical mechanical model of Brownian motion with one particle coupled to a random wave field2012

    • Author(s)
      Kusuoka, Shigeo ; Liang, Song
    • Journal Title

      Stochastic Analysis and Applications

      Volume: (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540109
  • [Journal Article] Classical mechanical model of Brownian motion with one particle coupled to a random wave field2012

    • Author(s)
      S. Kusuoka and S. Liang
    • Journal Title

      Stoch. Anal. Appl

      Volume: Vol. 30, Issue 3 Pages: 493-528

    • DOI

      10.1080/07362994.2012.668444

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740063, KAKENHI-PROJECT-24340022
  • [Journal Article] classical mechanical model of Brownian motion with plural particles2010

    • Author(s)
      S. Kusuoka and S. Liang
    • Journal Title

      Reviews in Mathematical Physics

      Volume: Vol. 22, No. 7 Pages: 733-838

    • DOI

      10.1142/s0129055x10004077

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740063
  • [Journal Article] A classical mechanical model of Brownian motion with plural particles2010

    • Author(s)
      Shigeo Kusuoka, Song Liang
    • Journal Title

      Reviews in Mathematical Physics

      Volume: 22 Pages: 733-838

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740063
  • [Journal Article] A classical mechanical model of Brownian motion with plural particles2010

    • Author(s)
      Kusuoka, Shigeo and Liang, Song
    • Journal Title

      Rev. Math. Phys. 22

      Volume: no.7 Pages: 733-838

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540109
  • [Journal Article] A formula to compute implied volatility, with error estimate2009

    • Author(s)
      Liang, Song ; Tahara, Yoshihiro
    • Journal Title

      Interdiscip. Inform. Sci15

      Volume: no.2 Pages: 267-272

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540109
  • [Journal Article] A formula to compute implied volatility, with error estimate2009

    • Author(s)
      Song Liang, Yoshihiro Tahara
    • Journal Title

      Interdisciplinary Information Sciences 15

      Pages: 267-272

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740063
  • [Journal Article] A Formula to Compute Implied Volatility, with Error Estimate2009

    • Author(s)
      Y. Tahara and S. Liang
    • Journal Title

      Interdisciplinary Information Sciences

      Volume: no. 2 Issue: 2 Pages: 267-272

    • DOI

      10.4036/iis.2009.267

    • NAID

      110007317873

    • ISSN
      1340-9050, 1347-6157
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740063
  • [Journal Article] A mechanical model of Markov processes2008

    • Author(s)
      S. Kusuoka and S. Liang
    • Journal Title

      RIMS Kokyuuroku Bessatsu B6

      Pages: 167-176

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740041
  • [Journal Article] A mechanical model of Markov processes2008

    • Author(s)
      S. Kusuoka, S. Liang
    • Journal Title

      RIMS Kokyuuroku Bessatsu B6

      Pages: 167-176

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740041
  • [Journal Article] A remark on the nonequivalence of the time-zero $ \phi_3^4 $-measure with the free field measure2008

    • Author(s)
      S. Albeverio and S. Liang
    • Journal Title

      Markov Processes and Related Fields Volume 14, Issue 1

      Pages: 159-164

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740041
  • [Journal Article] A remark on the nonequivalence of the time-zero $ Yphi_3^4 $-measure with the free field measure2008

    • Author(s)
      S. Albeverio, S. Liang
    • Journal Title

      Markov Processes and Related Fields 14

      Pages: 159-164

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740041
  • [Journal Article] A remark on the nonequivalence of the time-zero φ ^4_3 measure with the free field measure2008

    • Author(s)
      S. Albeverio, S. Liang
    • Journal Title

      Markov Processes and Related Fields 14-1

      Pages: 159-164

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340022
  • [Journal Article] A mechanical model of Markov processes2008

    • Author(s)
      S. Kusuoka, S. Liang
    • Journal Title

      RIMS Kokyuuroku Bessatsu B6

      Pages: 167-176

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340022
  • [Journal Article] A note on the renormalized square of free quantum fields in space-time dimension $ d ge 4 $2007

    • Author(s)
      Sergio Albeverio, Song Liang
    • Journal Title

      Bulletin des Sciences Mathematique 131

      Pages: 1-11

    • Data Source
      KAKENHI-PROJECT-18740041
  • [Journal Article] A note on the renormalized square of free quantum fields in space-time dimension $ d \ge 4 $2007

    • Author(s)
      S. Alverevio, S. Liang
    • Journal Title

      Bulletin des Sciences Mathematique 131

      Pages: 1-11

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740041
  • [Journal Article] A note on the renormalized square of free quantum fields in space-time dimension d≧42007

    • Author(s)
      S. Albeverio, S. Liang
    • Journal Title

      Bulletin des Sciences Mathematique 131-1

      Pages: 1-11

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340022
  • [Journal Article] Asymptotic spectral analysis of generalized Erdos-Renyi random graphs, Banach Center publications, institute of Mathematics2007

    • Author(s)
      S. Liang, Nobuaki Obata and Shuji Takahashi
    • Journal Title

      Polish Academy of Sciences, Warszawa volume 78

      Pages: 211-229

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740041
  • [Journal Article] A note on the renormalized square of free quantum fields in space-time dimension d ge 42007

    • Author(s)
      S.Albeverio, S.Liang
    • Journal Title

      Bulletin des Sciences Mathematique 131-1

      Pages: 1-11

    • Data Source
      KAKENHI-PROJECT-17340022
  • [Journal Article] Different lattice approximations for Hoegh-Krohn's quantum field model2007

    • Author(s)
      S. Liang
    • Journal Title

      Stochastic Analysis and Applications: The Abel Symposium 2005

      Pages: 493-499

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340022
  • [Journal Article] Different lattice approximations for Hoegh-Krohn's quantum field model2007

    • Author(s)
      S. Liang
    • Journal Title

      Stochastic Analysis and Appl.

      Pages: 493-499

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340022
  • [Journal Article] A note on the renormalized square of free quantum fields in space-time dimension d≧42007

    • Author(s)
      S. Albeverio, S. Liang
    • Journal Title

      Bulletin desSci. Mathematique 131

      Pages: 1-11

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340022
  • [Journal Article] Different lattice approximations for Hoegh-Krohn's quantum field model2007

    • Author(s)
      S. Liang
    • Journal Title

      Stochastic Analysis and Applications: The Abel Symposium 2005

      Pages: 493-499

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740041
  • [Journal Article] A note on the renormalized square of free quantum fields in space-time dimension $ d \ge 4 $2007

    • Author(s)
      S. Albeverio and S. Liang
    • Journal Title

      Bulletin des Sciences Mathematique Volume 131, Issue 1

      Pages: 1-11

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740041
  • [Journal Article] Remark on the integration by parts formula for the φ^4_3-quantum field model, Infinite dimensional analysis2006

    • Author(s)
      S. Albeverio, S. Liang, B. Zegarlinski
    • Journal Title

      quantum probability and related topics 9

      Pages: 149-154

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340022
  • [Journal Article] Remark on the integration by parts formula for the phi34-quantum field model2006

    • Author(s)
      S.Albeverio, S.Liang, B.Zegarlinski
    • Journal Title

      Infinite dimensional analysis, quantum probability and related topics 9-1

      Pages: 149-154

    • Data Source
      KAKENHI-PROJECT-17340022
  • [Journal Article] Remark on the integration by parts formula for the $ \phi_3^4 $-quantum field model2006

    • Author(s)
      S. Albeverio, S. Liang and B. Zegarlinski
    • Journal Title

      Infinite dimensional analysis, quantum probability and related topics Vol.9, No.1

      Pages: 149-154

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740041
  • [Journal Article] Remark on the integration by parts formula for the $ phi_3^4 $-quantum field model2006

    • Author(s)
      S.Albeverio, Song Liang, B.Zegarlinski
    • Journal Title

      Infinite dimensional analysis, quantum probability and related topics 9

      Pages: 149-154

    • Data Source
      KAKENHI-PROJECT-18740041
  • [Journal Article] A limit theorem for the Wick exponential of the free lattice fields2005

    • Author(s)
      S.Albeverio, S.Liang
    • Journal Title

      Markov Processes and Related Fields Vol.11

      Pages: 157-164

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540116
  • [Journal Article] A limit theorem for the Wick exponential of the free lattice fields2005

    • Author(s)
      S.Albeverio, S.Liang
    • Journal Title

      Markov Processes and Related Fields Vol. 11

      Pages: 157-164

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540116
  • [Journal Article] Asymptotic Expansions for the Laplace Approximations of Sums of Banach Space-Valued Random Variables2005

    • Author(s)
      Sergio Albeverio, Song Liang
    • Journal Title

      Annal of Probability 33

      Pages: 300-336

    • Data Source
      KAKENHI-PROJECT-15740057
  • [Journal Article] Asymptotic Expansions for the Laplace Approximations of Sums of Banach Space-Valued Random Variables2005

    • Author(s)
      S.Albeverio, S.Liang
    • Journal Title

      Annal of Probability 33

      Pages: 300-336

    • Data Source
      KAKENHI-PROJECT-17340022
  • [Journal Article] A limit theorem for the Wick exponential of the free lattice fields2005

    • Author(s)
      S. Albeverio, S. Liang
    • Journal Title

      Markov Processes and Related Fields 11

      Pages: 157-164

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340022
  • [Journal Article] Asymptotic expansions for the Laplace approximations of sums of Banach space-valued random variables2005

    • Author(s)
      S.Albeverio, S.Liang
    • Journal Title

      Ann. Probab. Vol. 33

      Pages: 300-336

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540116
  • [Journal Article] Laplace approximations for diffusion processes, Infinite Dimensional Harmonic Analysis III2005

    • Author(s)
      S.Liang
    • Journal Title

      Proceedings of the Third German-Japanese Symposium

      Pages: 187-195

    • Data Source
      KAKENHI-PROJECT-17340022
  • [Journal Article] Laplace Approximations of the Large Deviations for Diffusion Processes on Euclidean Spaces2005

    • Author(s)
      Song Liang
    • Journal Title

      Journal of the Mathematical Society of Japan 57

      Pages: 557-592

    • Data Source
      KAKENHI-PROJECT-15740057
  • [Journal Article] Asymptotic expansions for the Laplace approximations of sums of Banach space-valued random variables2005

    • Author(s)
      S.Albeverio, S.Liang
    • Journal Title

      Ann.Probab. Vol.33

      Pages: 300-336

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540116
  • [Journal Article] Laplace approximations for diffusion processes2005

    • Author(s)
      S. Liang
    • Journal Title

      Proc. Third German-Japanese Symposium

      Pages: 187-195

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340022
  • [Journal Article] Laplace Approximations of the Large Deviations for Diffusion Processes on Euclidean Spaces2005

    • Author(s)
      S.Liang
    • Journal Title

      Journal of Mathematical Society Japan 57

      Pages: 557-592

    • Data Source
      KAKENHI-PROJECT-17340022
  • [Journal Article] Asymptotic expansions for the Laplace approximations of sums of Banach space-valued random variables2005

    • Author(s)
      S. Albeverio, S. Liang
    • Journal Title

      Annal of Probability 33

      Pages: 300-336

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340022
  • [Journal Article] Laplace approximations of the large deviations for diffusion processes on Euclidean spaces2005

    • Author(s)
      S. Liang
    • Journal Title

      J.Math.Society Japan 57

      Pages: 557-592

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340022
  • [Journal Article] A Limit Theorem for the Wick Exponential of the Free Lattice Fields2005

    • Author(s)
      S.Albeverio, S.Liang
    • Journal Title

      Markov Processes and Related Fields 11

      Pages: 157-164

    • Data Source
      KAKENHI-PROJECT-17340022
  • [Journal Article] Laplace approximations of the large deviations for diffusion Processes on Euclidean space2005

    • Author(s)
      S.Liang
    • Journal Title

      J. Math. Soc. Japan Vol. 57

      Pages: 557-592

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540116
  • [Journal Article] Laplace approximations of the large deviations for diffusion Processes on Euclidean space2005

    • Author(s)
      S.Liang
    • Journal Title

      J.Math.Soc.Japan Vol.57

      Pages: 557-592

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540116
  • [Journal Article] A Limit Theorem for the Wick Exponential of the Free Lattice Fields2005

    • Author(s)
      Sergio Albeverio, Song Liang
    • Journal Title

      Markov Processes and Related Fields 11

      Pages: 157-164

    • Data Source
      KAKENHI-PROJECT-15740057
  • [Journal Article] A bounded property for gradients of diffusion semigroups on Euclidean spaces.2004

    • Author(s)
      Song Liang
    • Journal Title

      Journal of Functional Analysis 216

      Pages: 71-85

    • Data Source
      KAKENHI-PROJECT-15740057
  • [Journal Article] A remark on different lattice approximations and continuum limits for $phi 2^4$-fields.2004

    • Author(s)
      Sergio Albeverio, Song Liang
    • Journal Title

      Random operators and Stochastic Equations 12

      Pages: 313-318

    • Data Source
      KAKENHI-PROJECT-15740057
  • [Journal Article] A new lattice approximation for the Hoegh-Krohn quantum field model.2004

    • Author(s)
      Sergio Albeverio, Song Liang
    • Journal Title

      Reports on Mathematical Physics 54

      Pages: 149-157

    • Data Source
      KAKENHI-PROJECT-15740057
  • [Presentation] A mechanical model of Brownian motion including low energy light particles2019

    • Author(s)
      Song, Liang
    • Organizer
      15th Workshop on Markov Processes and Related Topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05290
  • [Presentation] A mechanical model of Brownian motion2018

    • Author(s)
      Song Liang
    • Organizer
      Second Interdisciplinary and Research Alumni Symposium iJaDe2018
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05290
  • [Presentation] 拡散過程の古典力学モデル--低エネルギー軽粒子が存在する場合について2017

    • Author(s)
      梁松
    • Organizer
      確率論シンポジウム 2017
    • Data Source
      KAKENHI-PROJECT-17K05290
  • [Presentation] Diffusion and classical dynamics2017

    • Author(s)
      Song Liang
    • Organizer
      Mathematical Aspects of Quantum Fields and Related Topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05290
  • [Presentation] Stochastic Newton equation with absorbing area2015

    • Author(s)
      Song Liang
    • Organizer
      Stochastic Analysis and Applications
    • Place of Presentation
      東北大学(宮城県仙台市)
    • Year and Date
      2015-08-31
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25800056
  • [Presentation] 拡散過程とノンランダムな力学系2014

    • Author(s)
      梁松
    • Organizer
      研究集会「確率解析」
    • Place of Presentation
      京都大学, 京都
    • Invited
    • Data Source
      KAKENHI-PROJECT-25800056
  • [Presentation] Diffusion processes and uniform motions2013

    • Author(s)
      Song Liang
    • Organizer
      Tunisia-Japan Symposium on Science, Society and Technology
    • Place of Presentation
      Tunis, チュニジア
    • Data Source
      KAKENHI-PROJECT-25800056
  • [Presentation] Stochastic Hamiltonian equation with uniform motion area2012

    • Author(s)
      梁松
    • Organizer
      2012年度確率論シンポジウム
    • Place of Presentation
      京都大学(京都府)
    • Data Source
      KAKENHI-PROJECT-21740063
  • [Presentation] Stochastic Hamiltonian equation With Uniform Motion Area2012

    • Author(s)
      Song Liang
    • Organizer
      2012年度確率論シンポジウム
    • Place of Presentation
      京都大学
    • Data Source
      KAKENHI-PROJECT-21740063
  • [Presentation] Stochastic Newton equation and absorbing area with single-well

    • Author(s)
      Song Liang
    • Organizer
      Stochastic Processes, Analysis and Mathematical Physics (a satellite Conference of Seoul ICM 2014)
    • Place of Presentation
      関西大学
    • Year and Date
      2014-08-25 – 2014-08-29
    • Data Source
      KAKENHI-PROJECT-25800056
  • 1.  OSADA Hirofumi (20177207)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 2.  MATSUMOTO Hiroyuki (00190538)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 3.  HATTORI Tetsuya (10180902)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 4.  SHINODA Masato (50271044)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 5.  TAKEDA Masayoshi (30179650)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 6.  NAKANISHI Toshihiro (00172354)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  NAWA Hayato (90218066)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  HARIYA Yuu (20404030)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  KASAHARA Yuji (60108975)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  UEMURA Hideaki (30203483)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  FUNAKI Tadahisa (60112174)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  KUMAGAI Takashi (90234509)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  SHIRAI Tomoyuki (70302932)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  HARA Takashi (20228620)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  FUKAI Yasunari (00311837)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  UTIYAMA Kohei (00117566)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  TANEMURA Hideki (40217162)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  NAGAHATA Yukio (50397725)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  HIGUCHI Yasunari (60112075)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  MITOMA Itaru (40112289)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  SUGIURA Makoto (70252228)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  KONNNO Norio (80205575)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  KOMORIYA Keishi (40323258)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  OTOBE Yoshiki (30334882)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  YOSHIDA Nobuo (40240303)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  HANDA Kenji (10238214)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  HATTORI Kumiko (80231520)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  OBATA Nobuaki (10169360)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  HIAI Fumio (30092571)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  URAKAWA Hajime (50022679)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  SUZUKI Kanako (10451519)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  HORA Akihito (10212200)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  SAITO Kimiaki (90195983)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  HOROSHIMA Fumio (00330358)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  YOSHIDA Hiroaki (10220667)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  ISHIGE Kazuhiro (90272020)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  SATO Junya (20235352)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  KAISE Hidehiro (60377778)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  宮川 鉄朗 (10033929)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  千代延 大造 (50197638)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  市原 完治 (00112293)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  井原 俊輔 (00023200)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  KOHATSU-HIGA Arturo
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results
  • 44.  楠岡 成雄
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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