An information-theoretic entropy related to Ihara \(\zeta\) function and billiard dynamics

DOI10.1007/978-981-16-8177-6_18zbMath1506.37034OpenAlexW4242885216MaRDI QIDQ2089432

Supriyo Dutta, Partha Guha

Publication date: 22 October 2022

Full work available at URL: https://doi.org/10.1007/978-981-16-8177-6_18

zbMATH Keywords

entropyinformation theoryIhara zeta functionbilliard dynamics

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Information theory (general) (94A15) Combinatorial dynamics (types of periodic orbits) (37E15) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical systems with singularities (billiards, etc.) (37C83)

Cites Work

• A Mathematical Theory of Communication
• Beyond the Shannon-Khinchin formulation: the composability axiom and the universal-group entropy
• On discrete subgroups of the two by two projective linear group over \(p\)-adic fields
• Formal Lie groups
• An Introduction to Mathematical Billiards
• A theorem on the existence of trace-form generalized entropies
• Dynamical systems with elastic reflections
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