Non-integrability of open billiard flows and Dolgopyat-type estimates

DOI10.1017/S0143385710000933zbMath1323.37017arXiv0911.5000MaRDI QIDQ2884088

Latchezar Stoyanov

Publication date: 24 May 2012

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.5000

zbMATH Keywords

symplectic formnon-integrabilityopen billiard flows

Mathematics Subject Classification ID

Related Items (11)

Resonances for open quantum maps and a fractal uncertainty principle ⋮ Dolgopyat's method and the fractal uncertainty principle ⋮ DIMENSIONAL CHARACTERISTICS OF THE NONWANDERING SETS OF OPEN BILLIARDS ⋮ Spectral gaps, additive energy, and a fractal uncertainty principle ⋮ Differentiability of the largest Lyapunov exponent for planar open billiards ⋮ Distribution of periods of closed trajectories in exponentially shrinking intervals ⋮ Closed billiards trajectories with prescribed bounces ⋮ Sharp large deviations for some hyperbolic systems ⋮ An introduction to fractal uncertainty principle ⋮ Regular decay of ball diameters and spectra of Ruelle operators for contact Anosov flows ⋮ Spectral Properties of Ruelle Transfer Operators for Regular Gibbs Measures and Decay of Correlations for Contact Anosov Flows

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