Spectral theory of the frame flow on hyperbolic 3-manifolds
From MaRDI portal
Publication:2051468
DOI10.1007/s00023-021-01068-7zbMath1489.37041arXiv2005.08387OpenAlexW3168049822WikidataQ115609493 ScholiaQ115609493MaRDI QIDQ2051468
Benjamin Küster, Colin Guillarmou
Publication date: 24 November 2021
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.08387
Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Hyperbolic 3-manifolds (57K32)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectral gaps for normally hyperbolic trapping
- Pollicott-Ruelle resonances for open systems
- Upper bound on the density of Ruelle resonances for Anosov flows
- Small h asymptotics for quantum partition functions associated to particles in external Yang-Mills potentials
- Classical limits for quantum particles in external Yang-Mills potentials
- Mixing of frame flow for rank one locally symmetric spaces and measure classification
- Geometrically finite groups, Patterson-Sullivan measures and Ratner's rigidity theorem
- On decay of correlations in Anosov flows
- Asymptotic behavior of multiplicities of representations of compact groups
- On the ergodicity of frame flows
- Exponential mixing for the geodesic flow on hyperbolic three-manifolds
- On a ``Quantum Chaos theorem of R. Schrader and M. Taylor
- Asymptotic properties of unitary representations
- Circular symmetry and the trace formula
- Stable ergodicity and frame flows
- Exponential mixing for generic volume-preserving Anosov flows in dimension three
- Exponential decay of correlations for finite horizon Sinai billiard flows
- On contact Anosov flows
- Semiclassical asymptotics, gauge fields, and quantum chaos
- Spectral gap and exponential mixing on geometrically finite hyperbolic manifolds
- On the rate of mixing of circle extensions of Anosov maps
- Matrix coefficients, counting and primes for orbits of geometrically finite groups
- Decay of correlations for normally hyperbolic trapping
- 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
- Reduction and the trace formula
- Dynamical zeta functions for Anosov flows via microlocal analysis
- Fractal Weyl law for skew extensions of expanding maps
- Spectra of Ruelle transfer operators for Axiom A flows
- Semiclassical origin of the spectral gap for transfer operators of a partially expanding map
- Expanding maps on Cantor sets and analytic continuation of zeta functions
- The trace formula for vector bundles
- Banach spaces adapted to Anosov systems
- Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces
- Prequantum transfer operator for symplectic Anosov diffeomorphism
- Contact Anosov flows and the Fourier–Bros–Iagolnitzer transform
- Mathematical Theory of Scattering Resonances
This page was built for publication: Spectral theory of the frame flow on hyperbolic 3-manifolds