Differentiability of the largest Lyapunov exponent for planar open billiards

DOI10.1080/14689367.2023.2221193zbMath1530.37056arXiv2301.01910MaRDI QIDQ6084045

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Publication date: 31 October 2023

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.01910

zbMATH Keywords

Lyapunov exponentsnon-wandering setopen billiardsbilliard deformation

Mathematics Subject Classification ID

Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems with singularities (billiards, etc.) (37C83)

Cites Work

• Differentiability of Hausdorff dimension of the non-wandering set in a planar open billiard
• Principles for the design of billiards with nonvanishing Lyapunov exponents
• Decay of solutions of the wave equation in the exterior of several convex bodies
• Billiards with Pesin region of measure one
• Invariant manifolds, entropy and billiards; smooth maps with singularities. With the collab. of F. Ledrappier and F. Przytycki
• Entropy, Lyapunov exponents, and mean free path for billiards
• Hölder continuity of the Lyapunov exponents of linear cocycles over hyperbolic maps
• Spectrum of the Ruelle operator and exponential decay of correlations for open billiard flows
• Non-integrability of open billiard flows and Dolgopyat-type estimates
• New ergodic billiards: exact results
• The Symbolic Representation of Billiards without Boundary Condition
• Exponential instability for a class of dispersing billiards
• Symbolic Dynamics for Hyperbolic Flows
• Open Billiards: Invariant and Conditionally Iinvariant Probabilities on Cantor Sets
• Lectures on Lyapunov Exponents
• Dynamical systems with elastic reflections
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