Finitary isomorphism of some renewal processes to Bernoulli schemes

DOI10.1016/S0019-3577(09)80019-0zbMath1196.37016OpenAlexW1994057818MaRDI QIDQ967567

Stephen M. Shea

Publication date: 29 April 2010

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(09)80019-0

zbMATH Keywords

renewal processBernoulli distributionfinitary isomorphism

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35)

Related Items (1)

Finitary isomorphisms of renewal point processes and continuous-time regenerative processes

Cites Work

• Finitary isomorphisms of irreducible Markov shifts
• A class of finitary codes
• Bernoulli schemes of the same entropy are finitarily isomorphic
• Combining \(m\)-dependence with Markovness
• Finitary coding for the one-dimensional \(T,T^{-1}\) process with drift.
• Factors of Bernoulli shifts are Bernoulli shifts
• A mixing Markov chain with exponentially decaying return times is finitarily Bernoulli
• Finitary codes between Markov processes
• The M/M/1 queue is Bernoulli
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