An Information-Theoretic Entropy Related to Ihara ζ Function and Billiard Dynamics

Supriyo Dutta, Partha Guha

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

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 functions associated with a combinatorial graph representing a billiard dynamical system, rigorously discussed in [5, 6].

Original languageBritish English
Title of host publicationMathematical Analysis and Applications - MAA 2020
EditorsOuayl Chadli, Sourav Das, Ram N. Mohapatra, A. Swaminathan
PublisherSpringer
Pages263-272
Number of pages10
ISBN (Print)9789811681769
DOIs
StatePublished - 2021
EventInternational Conference on Mathematical Analysis and Applications, MAA 2020 - Jamshedpur, India
Duration: 2 Nov 20204 Nov 2020

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume381
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceInternational Conference on Mathematical Analysis and Applications, MAA 2020
Country/TerritoryIndia
CityJamshedpur
Period2/11/204/11/20

Keywords

  • Billiard dynamics
  • Entropy
  • Ihara zeta function
  • Information theory

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