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arXiv · 1304.3555

Asymptotic Entropy of Random Walks on Regular Languages over a Finite Alphabet

Lorenz A. Gilch
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Abstract

We prove existence of asymptotic entropy of random walks on regular languages over a finite alphabet and we give formulas for it. Furthermore, we show that the entropy varies real-analytically in terms of probability measures of constant support, which describe the random walk. This setting applies, in particular, to random walks on virtually free groups.

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Lorenz A. Gilch. 2013-04-12. Asymptotic Entropy of Random Walks on Regular Languages over a Finite Alphabet. https://arxiv.org/abs/1304.3555

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