Square Entropy and Uniform n-to-1 Bernoulli Transformations
Dynamical Systems
2025-06-02 v1 Mathematical Physics
math.MP
Abstract
In this paper, we define the so-called square entropy and prove that n-to-1 full zip shift maps are intrinsically ergodic. Furthermore, we show that square entropy characterizes uniform n-to-1 transformations of -Bernoulli type that are extended Bernoulli transformations.
Keywords
Cite
@article{arxiv.2505.24647,
title = {Square Entropy and Uniform n-to-1 Bernoulli Transformations},
author = {Pouya Mehdipour and Somayeh Jangjooye Shaldehi},
journal= {arXiv preprint arXiv:2505.24647},
year = {2025}
}