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Within the abstract framework of dynamical system theory we describe a general approach to the transient (or EvansSearles) and steady state (or Gallavotti–Cohen) fluctuation theorems of non-equilibri...
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...
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 methods can be used to evaluate posterior distributions without having to calculate likelihoods. In this paper we discuss and apply an approximate Bayesian computation...

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