Ergodic Theory

Ergodic Theory portes grátis

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

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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