The zeta functions of renewal systems

DOI10.1017/S0143385710000015zbMath1234.37018OpenAlexW1978584768MaRDI QIDQ3012885

Soonjo Hong

Publication date: 7 July 2011

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385710000015

zbMATH Keywords

zeta functionsrenewal systems

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Cites Work

• Unnamed Item
• The entropies and periods of renewal systems
• On a zeta function associated with automata and codes
• A note on pure and \(p\)-pure languages
• Circular codes, loop counting, and zeta-functions
• A Zeta Function for Homomorphisms of Dynamical Systems
• Finitely presented dynamical systems
• A Combinatorial Proof of Jacobi's Identity
• On the Stochastic and Topological Structure of Markov Chains
• Endomorphisms of irreducible subshifts of finite type
• The spectra of nonnegative integer matrices via formal power series
• An Introduction to Symbolic Dynamics and Coding
• Axiom A Diffeomorphisms have Rational Zeta Functions