EXTENSIONS OF THE SHANNON ENTROPY AND THE CHAOS GAME ALGORITHM TO HYPERBOLIC NUMBERS PLANE

被引：3

作者：

Tellez-Sanchez, G. Y. ^{[1
]}

Bory-Reyes, J. ^{[2
]}

机构：

[1] Inst Politecn Nacl, Escuela Super Fis & Matemat, Edif 9,1er Piso, Mexico City 07338, DF, Mexico

[2] Inst Politecn Nacl, Escuela Super Ingn Mecan & Elect, Edif 5,3er Piso, Mexico City 07338, DF, Mexico

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2021年 / 29卷 / 01期

关键词：

Hyperbolic Numbers; Chaos Game; Entropy; Probability;

D O I：

10.1142/S0218348X21500134

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 Alpay et al. [Kolmogorov's axioms for probabilities with values in hyperbolic numbers, Adv. Appl. Clifford Algebras 27(2) (2017) 913-929]. Within this context, particular attention has been paid to the interpretation of the hyperbolic valued probabilities and the hyperbolic extension of entropy as well.

引用

页数：8

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