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arXiv · 2505.24647

Square Entropy and Uniform n-to-1 Bernoulli Transformations

Pouya Mehdipour·Somayeh Jangjooye Shaldehi
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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 $(m,l)$-Bernoulli type that are extended Bernoulli transformations.

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Pouya Mehdipour, Somayeh Jangjooye Shaldehi. 2025-05-30. Square Entropy and Uniform n-to-1 Bernoulli Transformations. https://arxiv.org/abs/2505.24647

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