Ergodic Theory
Ergodic Theory
A Probabilistic Approach to Dynamical Systems
Blumenthal, Alex; Young, Lai-Sang
Springer Nature Switzerland AG
04/2026
209
Dura
Inglês
9783032088352
Pré-lançamento - envio 15 a 20 dias após a sua edição
Descrição não disponível.
Measure-preserving transformations.- Three basic concepts: recurrence, ergodicity and isomorphisms.- Ergodic theorems.- A hierarchy of mixing properties.- Operations on measure-preserving transformations.- Entropy.- The Shannon-McMillan-Breiman Theorem.- Invariant measures for continuous maps.- Topological dynamics.- Lyapunov exponents.- Ingredients in the proof of the Multiplicative Ergodic Theorem.- Differentiable maps and invariant densities.- Linear operators associated to dynamical systems.- Smooth ergodic theory.- Random dynamical systems.- Infinite-dimensional dynamical systems.
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ergodic theory;dynamical systems;ergodic theorems;mixing properties;entropy;topological dynamics;Lyapunov exponents;physical measures;SRB measures;chaotic dynamical systems;smooth ergodic theory;statistical properties of dynamical systems;random dynamical systems;infinite dimensional dynamical systems
Measure-preserving transformations.- Three basic concepts: recurrence, ergodicity and isomorphisms.- Ergodic theorems.- A hierarchy of mixing properties.- Operations on measure-preserving transformations.- Entropy.- The Shannon-McMillan-Breiman Theorem.- Invariant measures for continuous maps.- Topological dynamics.- Lyapunov exponents.- Ingredients in the proof of the Multiplicative Ergodic Theorem.- Differentiable maps and invariant densities.- Linear operators associated to dynamical systems.- Smooth ergodic theory.- Random dynamical systems.- Infinite-dimensional dynamical systems.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
ergodic theory;dynamical systems;ergodic theorems;mixing properties;entropy;topological dynamics;Lyapunov exponents;physical measures;SRB measures;chaotic dynamical systems;smooth ergodic theory;statistical properties of dynamical systems;random dynamical systems;infinite dimensional dynamical systems