Pollicott-Ruelle resonant states and Betti numbers

DOI10.1007/s00220-020-03793-2zbMath1451.37048arXiv1903.01010OpenAlexW2918601084WikidataQ98649184 ScholiaQ98649184MaRDI QIDQ2192715

Benjamin Küster, Tobias Weich

Publication date: 17 August 2020

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.01010

zbMATH Keywords

Riemannian metricgeodesic flowBetti numbersPollicott-Ruelle resonanceclosed orientable hyperbolic manifold

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Generic properties, structural stability of dynamical systems (37C20) Invariant manifold theory for dynamical systems (37D10) Local Riemannian geometry (53B20) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Hyperbolic 3-manifolds (57K32)

Related Items (6)

The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds ⋮ Higher rank quantum-classical correspondence ⋮ Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters ⋮ Ruelle zeta function from field theory ⋮ High frequency limits for invariant Ruelle densities ⋮ Locating Ruelle–Pollicott resonances*

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