Ornstein isomorphism theorem information

In mathematics, the Ornstein isomorphism theorem is a deep result in ergodic theory. It states that if two Bernoulli schemes have the same Kolmogorov entropy...

operator, which may be used to study Bernoulli schemes. The Ornstein isomorphism theorem shows that Bernoulli shifts are isomorphic when their entropy...

limit to the predictability of the system Maximal ergodic theorem Ornstein isomorphism theorem Statistical mechanics Symbolic dynamics Reed, Michael; Simon...

states is known as a Bernoulli process. Note, however, by the Ornstein isomorphism theorem, that every aperiodic and irreducible Markov chain is isomorphic...

deterministic, and the other being a moving average process. The Ornstein isomorphism theorem states that every stationary stochastic process is equivalent...

the isomorphism of dynamical systems. The question long defied analysis, but was finally and completely answered with the Ornstein isomorphism theorem. This...

distinction to the Bernoulli automorphism. In particular, the Ornstein isomorphism theorem does not apply to K-systems, and so the entropy is not sufficient...

Orlicz–Pettis theorem (functional analysis) Ornstein theorem (ergodic theory) Oseledec theorem (ergodic theory) Osterwalder–Schrader theorem (physics) Ostrowski's...

an open problem. Countable discrete amenable groups obey the Ornstein isomorphism theorem. Finite groups are amenable. Use the counting measure with the...

is generated by a partition into k {\displaystyle k} subsets. Ornstein isomorphism theorem (Chapter 6 ). Let ( X , T ) {\displaystyle \textstyle (X,T)}...

1007/BF02810577. ISSN 0021-2172. Theorem 6.1 Ornstein, Donald S.; Weiss, Benjamin (1987). "Entropy and isomorphism theorems for actions of amenable groups"...

volume integral of the direct correlation function c(r), as defined by the Ornstein-Zernike equation. This length scale grows appreciably with decreasing temperature...