Custodian
发表于 2025-3-23 13:18:51
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说不出
发表于 2025-3-23 14:33:55
The Emergence of Neuromarketing,Along with Bernoulli actions, finitely presented algebraic actions can be viewed as the basic prototypes for dynamical entropy.
雄辩
发表于 2025-3-23 20:43:06
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anthesis
发表于 2025-3-23 23:00:09
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Mechanics
发表于 2025-3-24 02:38:15
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忍受
发表于 2025-3-24 08:49:15
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
发表于 2025-3-24 13:36:38
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易怒
发表于 2025-3-24 15:14:18
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).
骗子
发表于 2025-3-24 21:51:25
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
发表于 2025-3-25 02:31:01
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