Sharan Gopal

collaborators

2 papers

math.DS2025

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

Anshid Aboobacker, Sharan Gopal

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 e…

math.DS2025

$k$ -type chaos of $Z^{d}$ actions

Anshid Aboobacker, Sharan Gopal

In this paper, we define and study the notions of $k$ -type proximal pairs, $k$ -type asymptotic pairs and $k$ -type Li Yorke sensitivity for dynamical systems given by $Z^{d}$ …

k-type entropy of Zd actions

k-type chaos of Zd actions

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

$k$ -type chaos of $Z^{d}$ actions