Uniform hyperbolicity of a class of scattering maps
DOI10.1088/1361-6544/acecf4arXiv2308.09088MaRDI QIDQ6095420
Normann Mertig, Hajime Yoshino, Akira Shudo
Publication date: 8 September 2023
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2308.09088
uniform hyperbolicityscattering maptopological horseshoesector conditionConley-Moser conditionsfractal Weyl law
Dynamical aspects of measure-preserving transformations (37A05) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems with hyperbolic orbits and sets (37D05) Symbolic dynamics (37B10) Morse-Smale systems (37D15) Symplectic and canonical mappings (37J11) Resonances in quantum scattering theory (81U24)
Cites Work
- Unnamed Item
- Fractal Weyl laws for asymptotically hyperbolic manifolds
- Mathematical study of scattering resonances
- Shift automorphisms in the Henon mapping
- Numerical study of quantum resonances in chaotic scattering
- Fractal upper bounds on the density of semiclassical resonances
- Distribution of resonances for open quantum maps
- Geometric bounds on the density of resonances for semiclassical problems
- Chaos in classical and quantum mechanics
- Quantum signatures of chaos. With a foreword by H. Haken
- Dimension of the limit set and the density of resonances for convex co-compact hyperbolic surfaces
- Quantization of Anosov maps
- The Selberg zeta function for convex co-compact Schottky groups
- Real polynomial diffeomorphisms with maximal entropy: tangencies
- Fractal Weyl law for open quantum chaotic maps
- Meromorphic continuation of weighted zeta functions on open hyperbolic systems
- Spectral problems in open quantum chaos
- On Hyperbolic Plateaus of the Henon Map
- Dynamical properties of plane polynomial automorphisms
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Resonances in open quantum maps
- Quantum Chaos
- Semiclassical formulae for Wigner distributions
- Resonant eigenstates for a quantized chaotic system
- Distribution of Resonances for Hyperbolic Surfaces
- Fractal Weyl laws in discrete models of chaotic scattering
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