Liang Song 梁松

… Alternative Names

Researcher Number	60324399
Other IDs
External Links
Affiliation (Current)	2021: 早稲田大学, 教育・総合科学学術院, 教授
Affiliation (based on the past Project Information) *help	2021: 早稲田大学, 教育・総合科学学術院, 教授 2019: 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 … More
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 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

拡散過程の特異性がある古典力学系による導出Principal InvestigatorOngoing
- 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 InvestigatorOngoing
- Principal Investigator
  
  梁松
- Project Period (FY)
  2017 – 2020
- 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] 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

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Liang Song 梁 松

梁 松 リヨウ シヨウ

LIANG Song 梁 松

梁 しょう リョウ ショウ

梁 淞 リヨウ シヨウ

Research Projects

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Co-Researchers

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

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拡散過程の古典力学系モデルPrincipal InvestigatorOngoing

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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

Liang Song 梁松

梁松リヨウシヨウ

LIANG Song 梁松

梁しょうリョウショウ

梁淞リヨウシヨウ