Topology of Pollicott-Ruelle resonant states

DOI10.2422/2036-2145.201804_010zbMath1475.37036arXiv1703.08037OpenAlexW2964043619MaRDI QIDQ5003270

Gabriel Rivière, Nguyen Viet Dang

Publication date: 21 July 2021

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.08037

zbMATH Keywords

de Rham cohomologyAnosov flowsReidemeister torsionMorse-Smale flows

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Differential forms in global analysis (58A10) Hodge theory in global analysis (58A14) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Morse-Smale systems (37D15)

Related Items (4)

The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds ⋮ Morse-Smale flow, Milnor metric, and dynamical zeta function ⋮ The Fried conjecture in small dimensions ⋮ Pollicott-Ruelle spectrum and Witten Laplacians

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