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arXiv · 2511.16835

$k$-type entropy of $\mathbb{Z}^d$ actions

Anshid Aboobacker·Sharan Gopal
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Abstract

We introduce the concept of \(k\)-type entropy for dynamical systems generated by \(\mathbb{Z}^d\)-actions on compact metric spaces. We investigate its fundamental properties and establish connections with classical entropy and other \(k\)-type dynamical notions. The $k$-type entropy of some $\mathbb{Z}^2$-actions on a two dimensional torus is also calculated.

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Anshid Aboobacker, Sharan Gopal. 2025-11-20. $k$-type entropy of $\mathbb{Z}^d$ actions. https://arxiv.org/abs/2511.16835

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