Martingale approach to Boltzmanns entropy and exa

Authors: Krzysztof Podgórski

Publish Date: 1989

Volume: , Issue: , Pages: 321-328

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Abstract

Using the martingale convergence theorem we present a simple proof of the fact that a measure preserving transformation is exact if and only if entropy of iteration of the FrobeniusPerron operator corresponding to this transformation tends to zero for all densities

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