In this article, we introduce an entropy based on the formal power series expansion of the
Ihara Zeta function. We find a number of inequalities based on the values of the Ihara zeta …

To study arithmetic structures of natural numbers, we introduce a notion of entropy of
arithmetic functions, called anqie entropy. This entropy possesses some crucial properties …

Uniform entropy vs topological entropy Page 1 © 2015 Dikran Dikranjan and Hans-Peter A.
Kunzi, published by De Gruyter Open. This work is licensed under the Creative Commons …

arXiv:2006.13795v1 [math.DS] 24 Jun 2020 Page 1 A SURVEY ON THE TOPOLOGICAL
ENTROPY OF CUBIC POLYNOMIALS NOAH COCKRAM AND ANA RODRIGUES Abstract. In …

Adler, Konheim and McAndrew introduced the concept of topological entropy of a
continuous mapping for compact dynamical systems. Bowen generalized the concept to non …

We use Bowen's definition of topological entropy and Ahlfors five islands theorem, as well as
the theory of polynomial-like mappings, to show that the topological entropy of any entire …

BRIEF SURVEY ON THE TOPOLOGICAL ENTROPY Contents 1. Introduction 1 2. The
topological entropy 2 3. Part I. Topological entropy i Page 1 BRIEF SURVEY ON THE …

The set-theoretic entropies are defined for selfmaps of sets. A connection to some existsing
invariants of self-maps of sets (string number and orbit number) is given. Applications of …

Topological entropy is a widely studied indicator of chaos in topological dynamics. Here we
give a generalized definition of topological entropy which may be applied to set-valued …