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Stochastic analysis for the effective interface model

Research Project

Project/Area Number 19740058
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionNihon University

Principal Investigator

NISHIKAWA Takao  Nihon University, 理工学部, 講師 (10386005)

Project Period (FY) 2007 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥3,580,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥480,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥1,500,000 (Direct Cost: ¥1,500,000)
Keywords確率論 / 数理物理 / 大規模相互作用系
Research Abstract

The main topic of this research is the analysis for the large scale and long time asymptotic behavior of the effective interface model. First results of this research is the large deviation for the interface model with a conservation law. The next is the characterization for the family of stationary measures for the stochastic dynamics with non-convex potential, and the description of the partial differential equation from scaling limit of the stochastic dynamics.

Report

(4 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (12 results)

All 2009 2008 2007

All Journal Article (1 results) Presentation (11 results)

  • [Journal Article] Hydrodynamic limit for the interface model with general potentials2008

    • Author(s)
      T. Nishikawa
    • Journal Title

      Oberwolfach Report Volume5,Issue4

      Pages: 3127-3130

    • Related Report
      2009 Final Research Report
  • [Presentation] Hydrodynamic limit for the interface model with general potentials2009

    • Author(s)
      西川貴雄
    • Organizer
      研究集会「Topics on Random Media」
    • Place of Presentation
      京都大学
    • Year and Date
      2009-09-15
    • Related Report
      2009 Final Research Report
  • [Presentation] Hydrodynamic limit for the interface model with general potentials2009

    • Author(s)
      西川貴雄
    • Organizer
      Workshop "Topics on Random Media"
    • Place of Presentation
      京都大学理学部
    • Year and Date
      2009-09-15
    • Related Report
      2009 Annual Research Report
  • [Presentation] Hydrodynamic limit for the interface model with general potentials2008

    • Author(s)
      西川貴雄
    • Organizer
      研究集会「Interplay of Analysis and Probability in Physics」
    • Place of Presentation
      Oberwolfach(ドイツ)
    • Year and Date
      2008-12-06
    • Related Report
      2009 Final Research Report
  • [Presentation] Hydrodynamic limit for the interface model with general potentials2008

    • Author(s)
      西川貴雄
    • Organizer
      Workshop" Interplay of Analysis and Probability in Physics"
    • Place of Presentation
      Mathematisches Forschun gsinstitut Oberwolfach
    • Year and Date
      2008-12-05
    • Related Report
      2008 Annual Research Report
  • [Presentation] 一般化されたポテンシャルを持つ界面モデルに対する流体力学極限2008

    • Author(s)
      西川貴雄
    • Organizer
      研究集会「大規模相互作用系の確率解析」
    • Place of Presentation
      東京大学
    • Year and Date
      2008-11-04
    • Related Report
      2009 Final Research Report
  • [Presentation] 一般化されたポテンシャルを持つ界面モデルに対する流体力学極限2008

    • Author(s)
      西川貴雄
    • Organizer
      研究集会「大規模相互作用系の確率解析」
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Year and Date
      2008-11-04
    • Related Report
      2008 Annual Research Report
  • [Presentation] Large deviation for the Ginzburg-Landau∇φinterface model with conservation law2008

    • Author(s)
      西川貴雄
    • Organizer
      研究集会「Workshop on Gradient Models and Elasticity」
    • Place of Presentation
      University of Warwick (イギリス)
    • Year and Date
      2008-06-12
    • Related Report
      2009 Final Research Report
  • [Presentation] Large deviation for the Ginzburg-Landau∇φinterface model with a conservation law2008

    • Author(s)
      西川貴雄
    • Organizer
      研究集会「Hydrodynamics and fluctuations in interacting partcle systems」
    • Place of Presentation
      Budapest University of Technology and Economics (ハンガリー)
    • Year and Date
      2008-03-29
    • Related Report
      2009 Final Research Report
  • [Presentation] Large deviation for the Ginzburg-Landau∇φinterface model with a conservation law2007

    • Author(s)
      西川貴雄
    • Organizer
      研究集会「大規模相互作用系の確率解析」
    • Place of Presentation
      九州大学
    • Year and Date
      2007-10-25
    • Related Report
      2009 Final Research Report
  • [Presentation] Large deviation for the Ginzburg-Landau ▽φ interface model with a conservation law2007

    • Author(s)
      西川 貴雄
    • Organizer
      国際研究集会「大規模相互作用系の確率解析」
    • Place of Presentation
      九州大学
    • Year and Date
      2007-10-25
    • Related Report
      2007 Annual Research Report
  • [Presentation] Large deviation for the Ginzburg-Landau∇φinterface model with a conservation law2007

    • Author(s)
      西川貴雄
    • Organizer
      研究集会「Dirichlet Forms, Stochastic Analysis & Interacting Systems」
    • Place of Presentation
      Berlin Techinical University (ドイツ)
    • Year and Date
      2007-09-20
    • Related Report
      2009 Final Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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