Gamaliel Tellez-Sanchez, Juan Bory-Reyes
Published 2019-09-18Version 1
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.
Geodesics and dynamical information projections on the manifold of Hölder equilibrium probabilities
Investigating the probability of a cylindrical coin landing on its side
Non-i.i.d. random holomorphic dynamical systems and the probability of tending to infinity
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