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Entropic fluctuations in statistical mechanics: I. Classical dynamical systems
Dynamic system theory the steady state the theorem of equilibrium statistical mechanics mathematical structure fluctuation quantum statistical mechanics
2014/12/24
Within the abstract framework of dynamical system theory we describe a general approach to the transient (or Evans–Searles) and steady state (or Gallavotti–Cohen) fluctuation theorems of non-equilibri...
Scalable Bayesian reduced-order models for high-dimensional multiscale dynamical systems
AMS subject classifications
2010/3/9
While existing mathematical descriptions can accurately account for phenomena at
microscopic scales (e.g. molecular dynamics), these are often high-dimensional, stochastic and their
applicability ov...
Goodness-of-Fit Tests for Perturbed Dynamical Systems
Cramer-von Mises Kolmogorov-Smirnov and Chi-Square tests diffusion process goodness of fit hypotheses testing
2010/3/19
We consider the goodness of fit testing problem for stochastic differential
equation with small diffusion coefficient. The basic hypothesis
is always simple and it is described by the known trend co...
Approximate Bayesian computation scheme for parameter inference and model selection in dynamical systems
Approximate Bayesian computation scheme parameter inference model selection dynamical systems
2010/3/17
Approximate Bayesian computation methods can be used to evaluate posterior distributions without having to calculate likelihoods. In this paper we discuss and apply an approximate Bayesian computation...