A monotone isomorphism theorem

DOI10.1007/S00440-016-0700-XzbMath1370.37016arXiv1509.01669OpenAlexW2963006826MaRDI QIDQ525106

Terry Soo

Publication date: 28 April 2017

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.01669

zbMATH Keywords

monotone couplingSinai factor theoremstochastic dominationBurton-RothsteinOrnstein theorem

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Stationary stochastic processes (60G10) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35)

Related Items (1)

Equivariant thinning over a free group

Cites Work

• A monotone Sinai theorem
• Poisson thickening
• A class of finitary codes
• Bernoulli schemes of the same entropy are finitarily isomorphic
• Monotone factors of i.i.d. processes
• Fifty years of entropy in dynamics: 1958 -- 2007
• An introduction to joinings in ergodic theory
• Bernoulli shifts with the same entropy are isomorphic
• Probability on Trees and Networks
• Newton’s Laws and Coin Tossing
• Bernoulli shifts of the same entropy are finitarily and unilaterally isomorphic
• Residuality of dynamical morphisms
• Finitary Codes, a short survey
• Factors of IID on Trees
• The Existence of Probability Measures with Given Marginals
• The isomorphism problem in ergodic theory
• On the isomorphism problem for Bernoulli schemes
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