English

Sofic measure entropy via finite partitions

Dynamical Systems 2011-11-08 v1 Group Theory

Abstract

We give a generator-free formulation of sofic measure entropy using finite partitions and establish a Kolmogorov-Sinai theorem. We also show how to compute the values for general Bernoulli actions in a concise way using the arguments of Bowen in the finite base case.

Keywords

Cite

@article{arxiv.1111.1345,
  title  = {Sofic measure entropy via finite partitions},
  author = {David Kerr},
  journal= {arXiv preprint arXiv:1111.1345},
  year   = {2011}
}

Comments

13 pages

R2 v1 2026-06-21T19:31:31.642Z