Liang Song 梁松

… Alternative Names

LIANG Song 梁松

梁しょうリョウショウ

梁淞リヨウシヨウ

Less

Researcher Number	60324399
Other IDs
External Links
Affiliation (Current)	2025: 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 – 2023: 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 / Basic Section 12010:Basic analysis-related / General mathematics (including Probability theory/Statistical mathematics) 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 / ブラウン運動 / 総エネルギー / 強ポテンシャル / 収束 / 理想気体 / ラテス近似 / Hoegh-Krohnモデル … More / 量子場 / 極限過程 / 拡散過程の収束 / 低次元 / 確率過程の収束 / 確率ハミルトン方程式 / 等速運動 / ノンランダム力学系 / １次元 / 過程の収束 / 経験分布 / 確率微分方程式 / 誤差評価 / implied volatility / Black-Scholes model / マルコフ過程 / 波環境 / 相対効果 / ハミルトニアン / Levy-Khinchine表現 / 部分積分公式 / $ phi_3^4 $-モデル / Hida分布 / ウィック指数関数 / フリー量子場 / ウィック・パワー / $\phi_34$-モデル / エルゴード性 / 補間理論 / グリーン作用素 / ラプラス近似 / 精密評価 / 大偏差原理 … More Except Principal Investigator 拡散過程 / 無限粒子系 / Sierpinski Carpet / ベッセル過程 / スペクトル関数 / 推移確率密度 / 確率解析 / 確率論 / 確率力学系 / ランダム行列 / exponential Wiener functionals / Selberg trace formula / Brownian motions / Laplacian / Poncare upper half plane / ピットマンの定理 / レヴィの定理 / リーマン対称空間 / ウイシャート過程 / 指数型ウィナー汎関数 / セルバーグ跡公式 / ブラウン運動 / ラプラシアン / ポアンカレ上半平面 / determinantal randomu-point field / Random Matrix / Marka process / Iso perimetic inequality / Fractal / Dirichlet forms / diffusion processes / パーコレーション / ディリクレ形式 / heat kernel / Dirichlet form / determinantal random point field / マルコフ過程 / 等周不等式 / フラクタル / Dirichlet形式 / hitting time / ２階微分作用素 / タウバー型定理 / 正則変動関数 / スペクトル関数の漸近挙動 / 推移確率 / 極限円 / 1次元拡散過程 / Kreinの対応 / 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 / 直交多項式 / 複雑ネットワーク / 無限次元解析 / ホワイトノイズ解析 / 量子確率論 / 変位の指数 / 自己抑制経路 / 非マルコフ確率過程 / ブラックショールズ / 数理ファイナンス / 流体力学極限 / 確率連鎖 / 高次元ガスケット / 自己回避路 / 固定点の唯一性 / Burgers方程式 / 確率ランキング模型 / 二分木 / 自己回避経路 / 非マルコフ / 力学系 / 確率過程 / スケール極限 / くりこみ群 / 確率場 / 統計力学 / 解析学 / D:richlet form / Bessel過程 / ランダムマトリックス / Fermion measure / フェルミオン測度 / Fermion測度 / 流体の方程式 / 対数ポテンシャル / 無限次元確率微分方程式 / Ginibre Ensemble / 2次元プラズマ / Dysonモデル / フェルミオン / 行列式過程 Less

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 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Waseda University
A classical mechanical model of diffusion processPrincipal Investigator
- Principal Investigator
  
  Liang Song
- 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

[Journal Article] Stochastic Newton equations in the strong potential limit for the multi-dimensional case2023
- Author(s)
  Liang Song
- Journal Title
  
  Stochastics and Dynamics
  
  Volume: 23 Issue: 05
- DOI
  10.1142/s0219493723500430
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03302
[Journal Article] A mechanical model of Brownian motion for one massive particle including low energy light particles in dimension d \ge 32021
- Author(s)
  Song Liang
- Journal Title
  
  Random Oper. Stoch. Equ
  
  Volume: 29 Issue: 3 Pages: 203-235
- DOI
  10.1515/rose-2021-2062
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05290, KAKENHI-PROJECT-21K03302
[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 Issue: 2 Pages: 286-350
- 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] A classical mechanical model of Brownian motion with one particle coupled to a random wave field2012
- Author(s)
  S. Kusuoka and S. Liang
- Journal Title
  
  Stochastic Analysis and Applications
  
  Volume: Vol. 30, Issue 3 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 Issue: 07 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
  
  IIS
  
  Volume: 15 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] ブラウン運動と古典力学系2023
- Author(s)
  梁松
- Organizer
  日本数学会
- Invited
- Data Source
  KAKENHI-PROJECT-21K03302
[Presentation] Stochastic Newton equations in strong potential limit for $ d \ge 1 $2023
- Author(s)
  Song Liang
- Organizer
  Stochastic Processes and Related Fields
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03302
[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)

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2. MATSUMOTO Hiroyuki (00190538)

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3. SHINODA Masato (50271044)

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4. HATTORI Tetsuya (10180902)

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5. TAKEDA Masayoshi (30179650)

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6. NAKANISHI Toshihiro (00172354)

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7. NAWA Hayato (90218066)

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8. HARIYA Yuu (20404030)

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9. KASAHARA Yuji (60108975)

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10. UEMURA Hideaki (30203483)

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11. FUNAKI Tadahisa (60112174)

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12. KUMAGAI Takashi (90234509)

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16. UTIYAMA Kohei (00117566)

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17. TANEMURA Hideki (40217162)

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18. NAGAHATA Yukio (50397725)

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19. HIGUCHI Yasunari (60112075)

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20. MITOMA Itaru (40112289)

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21. SUGIURA Makoto (70252228)

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23. KOMORIYA Keishi (40323258)

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24. OTOBE Yoshiki (30334882)

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25. YOSHIDA Nobuo (40240303)

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26. HANDA Kenji (10238214)

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27. HATTORI Kumiko (80231520)

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28. 宮川鉄朗 (10033929)

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29. OBATA Nobuaki (10169360)

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30. HIAI Fumio (30092571)

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31. URAKAWA Hajime (50022679)

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32. SUZUKI Kanako (10451519)

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33. HORA Akihito (10212200)

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34. SAITO Kimiaki (90195983)

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35. HOROSHIMA Fumio (00330358)

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36. YOSHIDA Hiroaki (10220667)

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37. ISHIGE Kazuhiro (90272020)

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38. 千代延大造 (50197638)

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39. 市原完治 (00112293)

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40. SATO Junya (20235352)

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41. KAISE Hidehiro (60377778)

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42. 井原俊輔 (00023200)

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Liang Song 梁 松

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

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A classical mechanical model of diffusion processPrincipal Investigator

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Deriving stochastic crystal model from Hamiltonian dynamical system and the effect of relative effecacyPrincipal Investigator

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Deriving crystallizing probability model from classical mechanicsPrincipal Investigator

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Deriving Diffusion Processes from Newtonian MechanicsPrincipal Investigator

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大偏差原理に関連する精密評価Principal Investigator

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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

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Liang Song 梁松

LIANG Song 梁松

梁しょうリョウショウ

梁淞リヨウシヨウ