SPECTRAL ANALYSIS OF MORSE–SMALE FLOWS I: CONSTRUCTION OF THE ANISOTROPIC SPACES
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Publication:5116287
DOI10.1017/S1474748018000439zbMath1455.37024arXiv1703.08040WikidataQ128950364 ScholiaQ128950364MaRDI QIDQ5116287
Nguyen Viet Dang, Gabriel Rivière
Publication date: 24 August 2020
Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.08040
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Dynamics induced by flows and semiflows (37C10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Morse-Smale systems (37D15)
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Cites Work
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- Pollicott-Ruelle resonances for open systems
- Anosov flows and dynamical zeta functions
- Upper bound on the density of Ruelle resonances for Anosov flows
- Structural stability on two-dimensional manifolds
- Compact locally maximal hyperbolic sets for smooth maps: Fine statistical properties
- Normal forms for periodic orbits of real vector fields
- Partial differential equations. II: Qualitative studies of linear equations
- On the rate of mixing of Axiom A flows
- Resonances for axiom A flows
- On contact Anosov flows
- 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
- The Morse-Witten complex via dynamical systems
- On Morse-Smale dynamical systems
- Dynamical zeta functions for Anosov flows via microlocal analysis
- Instantons beyond topological theory. I
- Morse inequalities for a dynamical system
- Quasi-compactness of transfer operators for contact Anosov flows
- Résonances en limite semi-classique
- One-Parameter Semigroups for Linear Evolution Equations
- Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps
- Symbolic Dynamics for Hyperbolic Flows
- Introduction to Dynamical Systems
- Contact Anosov flows and the Fourier–Bros–Iagolnitzer transform
- Spectral analysis of Morse-Smale gradient flows
- Spectral analysis of Morse-Smale flows, II: Resonances and resonant states
- Mathematical Theory of Scattering Resonances
- Differentiable dynamical systems
- Energy Functions for Morse Smale Systems
- Equivalence and Decomposition of Vector Fields About an Elementary Critical Point
- Invariant manifolds
- Finite volume flows and Morse theory
