The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds

DOI10.1007/s00222-022-01108-xzbMath1502.37028arXiv2009.08558OpenAlexW3087015511WikidataQ115608911 ScholiaQ115608911MaRDI QIDQ2144534

Benjamin Delarue, Gabriel P. Paternain, Mihajlo Cekić, Semyon Dyatlov

Publication date: 14 June 2022

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.08558

zbMATH Keywords

Betti numberRuelle zeta functionconformal metric perturbation

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Hyperbolic 3-manifolds (57K32)

Related Items (3)

The twisted Ruelle zeta function on compact hyperbolic orbisurfaces and Reidemeister-Turaev torsion ⋮ Dynamical systems. Abstracts from the workshop held July 11--17, 2021 (hybrid meeting) ⋮ Twisted Ruelle zeta function at zero for compact hyperbolic surfaces

Cites Work

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• Pollicott-Ruelle resonances for open systems
• Anosov flows and dynamical zeta functions
• Patterson-Sullivan distributions in higher rank
• On the support of Pollicott-Ruelle resonant states for Anosov flows
• Upper bound on the density of Ruelle resonances for Anosov flows
• Patterson-Sullivan distributions and quantum ergodicity
• Analytic torsion and closed geodesics on hyperbolic manifolds
• Geodesic flows
• On continuous geodesic foliations of hyperbolic manifolds
• The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
• Ruelle zeta function at zero for surfaces
• On contact Anosov flows
• \(R\)-torsion and zeta functions for locally symmetric manifolds
• Invariant two-forms for geodesic flows
• The Fried conjecture in small dimensions
• Hyperbolic flows
• Resonant spaces for volume-preserving Anosov flows
• High frequency limits for invariant Ruelle densities
• Pollicott-Ruelle resonant states and Betti numbers
• Power spectrum of the geodesic flow on hyperbolic manifolds
• Anisotropic Hölder and Sobolev spaces for hyperbolic diffeomorphisms
• Analytic torsion, dynamical zeta functions, and the Fried conjecture
• Smooth Anosov flows: Correlation spectra and stability
• Fredholm determinants, Anosov maps and Ruelle resonances
• Conformal great circle flows on the 3-sphere
• Dynamical zeta functions for Anosov flows via microlocal analysis
• Hypoelliptic Laplacian and Orbital Integrals (AM-177)
• Perturbation of Ruelle resonances and Faure–Sjöstrand anisotropic space
• Banach spaces adapted to Anosov systems
• Introduction to Riemannian Manifolds
• Ruelle Perron Frobenius spectrum for Anosov maps
• Topology of Pollicott-Ruelle resonant states
• Spectral analysis of Morse-Smale gradient flows
• Dynamical zeta functions in the nonorientable case
• Mathematical Theory of Scattering Resonances
• An Introduction to Contact Topology
• Riemannian geometry.

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