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

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樓主: 母牛膽小鬼
11#
發(fā)表于 2025-3-23 13:18:51 | 只看該作者
12#
發(fā)表于 2025-3-23 14:33:55 | 只看該作者
The Emergence of Neuromarketing,Along with Bernoulli actions, finitely presented algebraic actions can be viewed as the basic prototypes for dynamical entropy.
13#
發(fā)表于 2025-3-23 20:43:06 | 只看該作者
14#
發(fā)表于 2025-3-23 23:00:09 | 只看該作者
15#
發(fā)表于 2025-3-24 02:38:15 | 只看該作者
16#
發(fā)表于 2025-3-24 08:49:15 | 只看該作者
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.
17#
發(fā)表于 2025-3-24 13:36:38 | 只看該作者
18#
發(fā)表于 2025-3-24 15:14:18 | 只看該作者
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).
19#
發(fā)表于 2025-3-24 21:51:25 | 只看該作者
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.
20#
發(fā)表于 2025-3-25 02:31:01 | 只看該作者
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