Weak approximation of an invariant measure and a low boundary of the entropy

2014/08/07 by Gurevich, B.
#37A35 37A50 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1408.1609

Abstract

For a measurable map T and a sequence of T-invariant probability measures μ_n that converges in some sense to a T-invariant probability measure μ, an estimate from below for the Kolmogorov--Sinai entropy of T with respect to μ is suggested in terms of the entropies of T with respect to μ₁, μ₂, ….

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