Titlebook: Ergodic Theory; Independence and Dic David Kerr,Hanfeng Li Book 2016 Springer International Publishing AG 2016 Ergodic Theory.Topological D

Custodian

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The Emergence of Neuromarketing,Along with Bernoulli actions, finitely presented algebraic actions can be viewed as the basic prototypes for dynamical entropy.

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anthesis

Mechanics

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Orbit Equivalence Beyond AmenabilityThe Ornstein-Weiss theorem (Theorem .) asserts that the ergodic p.m.p. actions of countably infinite amenable groups are collectively responsible for a single orbit equivalence class. As soon as one moves beyond amenability, however, this triviality gives way to a staggering richness that is far from being completely understood.

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易怒

Entropy for Actions of Sofic GroupsIn Section . we arrived at a definition of entropy for p.m.p. actions of amenable groups by combining a concept which is internal to the space (the Shannon entropy of a partition) with one which is internal to the group (the process of averaging over Følner sets).

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The ,-InvariantWith his introduction of the .-invariant in the late 2000s, Bowen gave the first proof that two Bernoulli actions over a non-Abelian free group of finite rank are not conjugate if the Shannon entropies of their bases disagree.

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