Spectral analysis of Morse-Smale gradient flows

DOI10.24033/asens.2412zbMath1448.37029arXiv1605.05516OpenAlexW3012558399MaRDI QIDQ5110347

Nguyen Viet Dang, Gabriel Rivière

Publication date: 18 May 2020

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.05516

zbMATH Keywords

Pollicott-Ruelle resonancesanisotropic Sobolev spacesmicrolocal analysisMorse complexMorse-Smale flowshyperbolic dynamical systems

Mathematics Subject Classification ID

Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Index theory for dynamical systems, Morse-Conley indices (37B30) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Morse-Smale systems (37D15) Discrete Morse theory and related ideas in manifold topology (57Q70)

Related Items (15)

Ruelle-Pollicott resonances for manifolds with hyperbolic cusps ⋮ Spectral asymptotics for kinetic Brownian motion on surfaces of constant curvature ⋮ The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds ⋮ Morse-Smale flow, Milnor metric, and dynamical zeta function ⋮ Ruelle zeta function at zero for surfaces ⋮ Fractal Weyl law for the Ruelle spectrum of Anosov flows ⋮ Pollicott-Ruelle resonant states and Betti numbers ⋮ Resonances and weighted zeta functions for obstacle scattering via smooth models ⋮ Stable foliations and CW-structure induced by a Morse–Smale gradient-like flow ⋮ SPECTRAL ANALYSIS OF MORSE–SMALE FLOWS I: CONSTRUCTION OF THE ANISOTROPIC SPACES ⋮ Mathematical study of scattering resonances ⋮ Pollicott-Ruelle spectrum and Witten Laplacians ⋮ Renormalization of quantum field theory on Riemannian manifolds ⋮ Topology of Pollicott-Ruelle resonant states ⋮ Analytic Torsion and Dynamical Flow:A Survey on the Fried Conjecture

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