Statistical properties of uniformly hyperbolic maps and transfer operators' spectrum

2018/10/13 by Carlangelo Liverani, Liverani, Carlangelo · 1 citation
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #advanced mathematical theories #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1810.05924

Abstract

This is a lightning introduction to some modern techniques used in the study of the statistical properties of hyperbolic dynamical systems. The emphasis is not in presenting a comprehensive theory but rather in fleshing out the main ideas in the simplest and fastest possible manner so that the reader can quickly get the intuition necessary to easily read the more technical (and more complete) accounts of the theory.

Citations

• Recurrence times and rates of mixing
• Statistical Properties of Dynamical Systems with Some Hyperbolicity

Cited by

• Selfconsistent Transfer Operators for Heterogeneous Coupled Maps

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• Spectra of differentiable hyperbolic maps
• Statistical Properties of Dynamical Systems with Some Hyperbolicity
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