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On coding a stationary process to achieve a given marginal distribution

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Publication:1136155
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DOI10.1214/aop/1176994829zbMath0426.60036OpenAlexW1984230893MaRDI QIDQ1136155

John Cronan Kieffer

Publication date: 1980

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176994829


zbMATH Keywords

ergodic decompositionergodic processstationary codingmixing invariant marginalstationary aperiodic process


Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Measure-preserving transformations (28D05)


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Unnamed Item ⋮ MultiTowers, conjugacies and codes: Three theorems in Ergodic theory, one variation on Rokhlin’s Lemma ⋮ Rotational (and Other) Representations of Stochastic Matrices ⋮ Return times for nonsingular measurable transformations ⋮ Local limit theorem in deterministic systems ⋮ On obtaining a stationary process isomorphic to a given process with a desired distribution



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