Fractal Weyl laws and wave decay for general trapping

DOI10.1088/1361-6544/aa8712zbMath1380.35021arXiv1703.06515OpenAlexW2605819986MaRDI QIDQ4600120

Semyon Dyatlov, Jeffrey Galkowski

Publication date: 5 January 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.06515

zbMATH Keywords

wave decaygeodesic flows with positive escape ratescattering resonances in strips

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Resonance in context of PDEs (35B34)

Related Items (1)

Eigenvalues of the Truncated Helmholtz Solution Operator under Strong Trapping

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Resonances and density bounds for convex co-compact congruence subgroups of \(\mathrm{SL}_2(\mathbb Z)\)
• Spectral gaps for normally hyperbolic trapping
• Pollicott-Ruelle resonances for open systems
• Fractal Weyl laws for asymptotically hyperbolic manifolds
• Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov)
• Partially hyperbolic geodesic flows
• Mathematical study of scattering resonances
• Upper bound on the density of Ruelle resonances for Anosov flows
• Fractal upper bounds on the density of semiclassical resonances
• Geometric bounds on the density of resonances for semiclassical problems
• The analysis of linear partial differential operators. IV: Fourier integral operators
• Dimension of the limit set and the density of resonances for convex co-compact hyperbolic surfaces
• The Selberg zeta function for convex co-compact Schottky groups
• Breit-Wigner approximation and the distribution of resonances
• Resonances for open quantum maps and a fractal uncertainty principle
• Fractal Weyl law for open quantum chaotic maps
• Density and location of resonances for convex co-compact hyperbolic surfaces
• Dynamical zeta functions for Anosov flows via microlocal analysis
• Sharp polynomial bounds on the number of Pollicott–Ruelle resonances
• Spectral problems in open quantum chaos
• Complex Scaling and the Distribution of Scattering Poles
• Sharp upper bounds on the number of resonances near the real axis for trapping systems
• Mathematical Theory of Scattering Resonances
• Injections de Sobolev probabilistes et applications
• Microlocal limits of plane waves and Eisenstein functions
• Resonance projectors and asymptotics for 𝑟-normally hyperbolic trapped sets
• Some Large Deviation Results for Dynamical Systems

This page was built for publication: Fractal Weyl laws and wave decay for general trapping