This article aims to establish a connection between the dynamical billiards and information
theory. We propose two generalized information-theoretic entropies based on the Ihara zeta …

In this article, we find some properties of certain types of entropies of a natural number. We
are studying a way of measuring the “disorder” of the divisors of a natural number. We …

We use the measure theoretical entropy from Vivas-Sirvent and the topological entropies
from Dinh-Sibony and Kelly-Tennant to prove that the equidistribution measures $\mu …

We consider the concept of generalized Kolmogorov–Sinai entropy, where instead of the
Shannon entropy function, we consider an arbitrary concave function defined on the unit …

The asymptotic profile of an eta-theta quotient related to entanglement entropy in string
theory | SpringerLink Skip to main content Advertisement SpringerLink Account Menu Find …

Ovadia and Rodriguez-Hertz (Neutralized local entropy, arXiv: 2302.10874) defined the
neutralized Bowen open ball for an autonomous dynamical system on a compact metric …

In the following text for finite field $ F $, nonempty set $\Gamma $, self-map
$\varphi:\Gamma\to\Gamma $ and weight vector $\mathfrak {w}\in F^\Gamma $, we show …

The Bowen topological entropy was introduced by Bowen in way which resembles the
Hausdorff dimension. It is well-known that the Bowen topological entropy and the topological …

We use the measure theoretical entropy from Vivas-Sirvent and the topological entropies
from Dinh-Sibony and Kelly-Tennant to prove that the equidistribution measures $\mu …

The purpose of this paper is to generalize the notions of Adler's topological entropy along
with their several fundamental properties. A function ݂ǣܺ՜ ܻ is said to be R-map if ݂ିଵሺܸሻ is …