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

Custodian

說(shuō)不出

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

雄辯

anthesis

Mechanics

忍受

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.

etiquette

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 F?lner sets).

騙子

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.

jealousy