Two divergence-rate counterexamples

DOI10.1007/BF01066716zbMath0799.60046OpenAlexW2041729769WikidataQ124802951 ScholiaQ124802951MaRDI QIDQ685736

Paul C. Shields

Publication date: 3 October 1993

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01066716

zbMATH Keywords

Markov chainergodic processbinary symmetric coin-tossing processdivergence-rate properties

Mathematics Subject Classification ID

Stochastic processes (60G99)

Related Items (7)

The positive-divergence and blowing-up properties ⋮ On stability of probability laws with respect to small violations of algorithmic randomness ⋮ Equivalence and nonequivalence of ensembles: thermodynamic, macrostate, and measure levels ⋮ Asymptotic equivalence of probability measures and stochastic processes ⋮ Discrimination between B-processes is impossible ⋮ A quantum version of Sanov's theorem ⋮ Typical support and Sanov large deviations of correlated states

Cites Work

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• Sanov property, generalized I-projection and a conditional limit theorem
• Entropy and isomorphism theorems for actions of amenable groups
• Entropy and prefixes
• String matching: The ergodic case
• The positive-divergence and blowing-up properties
• A counterexample to Perez's generalization of the Shannon-McMillan theorem
• Cutting and stacking: a method for constructing stationary processes
• Stationary coding of processes
• Cutting and independent stacking of intervals

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