On a class of highly symmetric Markov-Dyck shifts

TL;DR

This paper introduces a new class of highly symmetric Markov-Dyck shifts and computes their topological entropies and zeta functions, advancing understanding of their dynamical properties.

Contribution

It defines a novel class of Markov-Dyck shifts with high symmetry and provides explicit calculations of their topological entropies and zeta functions.

Findings

Topological entropies are explicitly determined.

Zeta functions for the class are derived.

The class exhibits high symmetry properties.

Abstract

A class of highly symmetric Markov-Dyck shifts is introduced. Topological entropies and zeta functions are determined.