Transfer operator approach to ray-tracing in circular domains
DOI10.1088/1361-6544/ab9dcazbMath1455.37068arXiv1910.02938OpenAlexW3083041465MaRDI QIDQ5136509
Oscar F. Bandtlow, Julia Slipantschuk, Wolfram Just, David J. Chappell, Gregor Tanner, Martin Richter
Publication date: 26 November 2020
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.02938
numerical approximationray tracingtransfer operatorbilliard dynamicsPerron Frobenius operatordynamical energy analysiswave energy distribution
Vibrations in dynamical problems in solid mechanics (74H45) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
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- On the numerical approximation of the Perron-Frobenius and Koopman operator
- Preasymptotics and asymptotics of approximation numbers of anisotropic Sobolev embeddings
- Theory of function spaces
- The Ruelle-Araki transfer operator in classical statistical mechanics
- Exponential decay of correlations for finite horizon Sinai billiard flows
- Dynamical energy analysis on mesh grids: a new tool for describing the vibro-acoustic response of complex mechanical structures
- Absolutely continuous invariant measures for multidimensional expanding maps
- Approximation numbers of Sobolev embeddings-sharp constants and tractability
- Rigorous numerical investigation of the statistical properties of piecewise expanding maps. A feasibility study
- Banach spaces adapted to Anosov systems
- On the Approximation of Complicated Dynamical Behavior
- Symbolic dynamics and periodic orbits for the cardioid billiard
- Approximation of nonessential spectrum of transfer operators
- On the isolated spectrum of the Perron-Frobenius operator
- Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps
- Ruelle Perron Frobenius spectrum for Anosov maps
- Discrete flow mapping: transport of phase space densities on triangulated surfaces
- Wave chaos in acoustics and elasticity
- A Primer on Wavelets and Their Scientific Applications
- Quantum signatures of chaos
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