This paper shows that entropy is a completer metric similarity invariant for the continuous ergodic group automorphisms of the two-dimensional torus.
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In this paper we extend the notion of a continuous bundle random dynamical system to the setting where the action of RR or NN is replaced by the action of an infinite countable discrete amenable group. Given such a system, and a monotone sub-additive invariant family of random c…
The dynamics of generic Kuperberg flows
by Hurder, Steven, Rechtman, Ana
fromAstérisque
0
Type: Book
The dynamics of generic Kuperberg flows
by Hurder, Steven, Rechtman, Ana
fromAstérisque
0
Type: Book
A comprehensive course on entropy in dynamical systems ideal for graduate students learning the subject from scratch.
"This comprehensive text on entropy covers three major types of dynamics: measure preserving transformations; continuous maps on compact spaces; and operators on function spaces. Part I contains proofs of the Shannon-McMillan-Breiman Theorem, the Ornstein-Weiss Return Time Theor…
Entropy in dynamical systems
by ProQuest (Firm), Downarowicz, Tomasz
fromNew mathematical monographs
0
Type: Book
"This comprehensive text on entropy covers three major types of dynamics: measure preserving transformations; continuous maps on compact spaces; and operators on function spaces. Part I contains proofs of the Shannon-McMillan-Breiman Theorem, the Ornstein-Weiss Return Time Theor…
This comprehensive text on entropy covers three major types of dynamics: measure preserving transformations; continuous maps on compact spaces; and operators on function spaces. Part I contains proofs of the Shannon-McMillan-Breiman Theorem, the Ornstein-Weiss Return Time Theore…
"This comprehensive text on entropy covers three major types of dynamics: measure preserving transformations; continuous maps on compact spaces; and operators on function spaces. Part I contains proofs of the Shannon-McMillan-Breiman Theorem, the Ornstein-Weiss Return Time Theor…
