Extensions of the Shannon Entropy and the Chaos Game Algorithm to Hyperbolic Numbers Plane
Dynamical Systems
2020-09-04 v4 Complex Variables
Abstract
In this paper we provide extensions to hyperbolic numbers plane of the classical Chaos game algorithm and the Shannon entropy. Both notions connected with that of probability with values in hyperbolic number, introduced by D. Alpay et al \cite{eluna}. Within this context, particular attention has been paid to the interpretation of the hyperbolic valued probabilities and the hyperbolic extension of entropy as well.
Keywords
Cite
@article{arxiv.1909.08193,
title = {Extensions of the Shannon Entropy and the Chaos Game Algorithm to Hyperbolic Numbers Plane},
author = {Gamaliel Tellez-Sanchez and Juan Bory-Reyes},
journal= {arXiv preprint arXiv:1909.08193},
year = {2020}
}