A partition on a Bernoulli shift which is not weakly Bernoulli

DOI10.1007/BF01694176zbMath0226.60066OpenAlexW1986010041MaRDI QIDQ5633375

Meir Smorodinsky

Publication date: 1971

Published in: Mathematical Systems Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01694176

Mathematics Subject Classification ID

Gaussian processes (60G15) Stationary stochastic processes (60G10)

Related Items

Unnamed Item, Mixing properties of the generalized \(T,T^{-1}\)-process, Factors of IID on Trees, On induced transformations of Bernoulli shifts, Absolute regularity and functions of Markov chains, Some new results in the Kolmogorov-Sinai theory of entropy and ergodic theory, On a very weak bernoulli condition^†, Quelques propriétés des systèmes dynamiques qui se decomposent en un produit de deux systèmes dont l'un est un schema de Bernoulli, Weak and very weak Bernoulli partitions, Theory of dynamical systems and general transformation groups with invariant measure, On the strong mixing and weak Bernoulli conditions, Finite state bilaterally deterministic strongly mixing processes, Dynamical properties of quasihyperbolic toral automorphisms

Cites Work

• Bernoulli shifts with the same entropy are isomorphic
• On isomorphism of weak Bernoulli transformations
• Two Bernoulli shifts with infinite entropy are isomorphic
• Factors of Bernoulli shifts are Bernoulli shifts
• On Ornstein's isomorphism theorem for Bernoulli shifts
• Bernoulli Flows with Infinite Entropy