Ruelle-Pollicott resonances for manifolds with hyperbolic cusps
DOI10.4171/JEMS/1103zbMath1495.37022arXiv1712.07832OpenAlexW3201225429WikidataQ115481590 ScholiaQ115481590MaRDI QIDQ2119379
Tobias Weich, Yannick Bonthonneau
Publication date: 29 March 2022
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.07832
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Resonance in context of PDEs (35B34) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Related Items (7)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Long time quantum evolution of observables on cusp manifolds
- Pollicott-Ruelle resonances for open systems
- Small eigenvalues of the Laplacian for algebraic measures in moduli space, and mixing properties of the Teichmüller flow
- Anosov flows and dynamical zeta functions
- Rates of mixing for the Weil-Petersson geodesic flow: exponential mixing in exceptional moduli spaces
- Upper bound on the density of Ruelle resonances for Anosov flows
- Rates of mixing for the Weil-Petersson geodesic flow. I: No rapid mixing in non-exceptional moduli spaces
- An analogue of the prime number theorem for closed orbits of Axiom A flows
- On the rate of mixing of Axiom A flows
- Resonances for axiom A flows
- Zeta-functions for expanding maps and Anosov flows
- The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
- On the geometry of tangent bundles
- Classical and quantum resonances for hyperbolic surfaces
- On contact Anosov flows
- Perturbation theory for linear operators.
- Meromorphic zeta functions for analytic flows
- A thermodynamic formalism approach to the Selberg zeta function for Hecke triangle surfaces of infinite area
- High frequency limits for invariant Ruelle densities
- Power spectrum of the geodesic flow on hyperbolic manifolds
- The semiclassical zeta function for geodesic flows on negatively curved manifolds
- Anisotropic Hölder and Sobolev spaces for hyperbolic diffeomorphisms
- Smooth Anosov flows: Correlation spectra and stability
- Über eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen. (On a new type of nonanalytic automorphic functions and the determination of Dirichlet series by functional equations)
- Odd and even Maass cusp forms for Hecke triangle groups, and the billiard flow
- Dynamical zeta functions for Anosov flows via microlocal analysis
- Period Functions for Maass Wave Forms and Cohomology
- Spectral Theory for Riemannian Manifolds with Cusps and a Related Trace Formula
- The thermodynamic formalism approach to Selberg’s zeta function for 𝑃𝑆𝐿(2,𝐙)
- Banach spaces adapted to Anosov systems
- Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces
- Equilibrium states in negative curvature
- Meromorphic extension of the zeta function for Axiom A flows
- Complex Scaling and the Distribution of Scattering Poles
- Scattering Theory for Automorphic Functions. (AM-87)
- Fredholm determinants for hyperbolic diffeomorphisms of finite smoothness
- Markov systems and transfer operators associated with cofinite Fuchsian groups
- Some negatively curved manifolds with cusps, mixing and counting
- Commentary on “Differentiable dynamical systems” by Stephen Smale
- Afterword: Dynamical zeta functions for Axiom A flows
- Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps
- Ruelle Perron Frobenius spectrum for Anosov maps
- Generalized Fredholm determinants and Selberg zeta functions for Axiom A dynamical systems
- Period functions for Hecke triangle groups, and the Selberg zeta function as a Fredholm determinant
- Spectral analysis of Morse-Smale gradient flows
- Mathematical Theory of Scattering Resonances
- Differentiable dynamical systems
- AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ
- Period functions for Maass wave forms. I.
This page was built for publication: Ruelle-Pollicott resonances for manifolds with hyperbolic cusps