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Green-Kubo formula derived from large deviation statistics

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Publication:1598994
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DOI10.1016/S0378-4371(02)00567-8zbMath0995.62080MaRDI QIDQ1598994

Hiroshi Shibata

Publication date: 4 June 2002

Published in: Physica A (Search for Journal in Brave)


zbMATH Keywords

time series


Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Time series analysis of dynamical systems (37M10)


Related Items (4)

Long time coarse grain leads to large deviation statistics and statistical mechanics ⋮ Statistics of phase turbulence ⋮ Statistics of phase turbulence. II ⋮ Dynamics of phase turbulence




Cites Work

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  • A general conditional large deviation principle
  • Asymptotic evaluation of certain markov process expectations for large time. IV
  • Hydrodynamics and large deviation for simple exclusion processes
  • Chaos, Scattering and Statistical Mechanics
  • Characterization of Various Statistics of Diffusive Motion
  • Transport, Collective Motion, and Brownian Motion
  • Pattern formation outside of equilibrium
  • Asymptotic probabilities and differential equations
  • Irreversibility and Generalized Noise
  • Dynamical Systems Approach to Turbulence




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