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

B. Gurevich

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arXiv · 1408.1609

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

B. Gurevich

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Abstract

For a measurable map $T$ and a sequence of $T$-invariant probability measures $\mu_n$ that converges in some sense to a $T$-invariant probability measure $\mu$, an estimate from below for the Kolmogorov--Sinai entropy of $T$ with respect to $\mu$ is suggested in terms of the entropies of $T$ with respect to $\mu_1$, $\mu_2$, \dots.

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B. Gurevich. 2014-08-07. Weak approximation of an invariant measure and a low boundary of the entropy. https://arxiv.org/abs/1408.1609

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