Radial source estimates in Hölder-Zygmund spaces for hyperbolic dynamics

DOI10.5802/ahl.175zbMath1523.35237arXiv2011.06403OpenAlexW3136207067MaRDI QIDQ6047216

Yannick Bonthonneau, Thibault Lefeuvre

Publication date: 9 October 2023

Published in: Annales Henri Lebesgue (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.06403

zbMATH Keywords

semiclassical analysishyperbolic dynamicsmarked length spectrum rigidityradial source estimates

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (1)

Local rigidity of manifolds with hyperbolic cusps. II: Nonlinear theory

Cites Work

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• Band structure of the Ruelle spectrum of contact Anosov flows
• Fractal Weyl laws for asymptotically hyperbolic manifolds
• Anosov flows and dynamical zeta functions
• Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov)
• Asymptotic distribution of quasi-normal modes for Kerr-de Sitter black holes
• Invariant distributions and X-ray transform for Anosov flows
• Upper bound on the density of Ruelle resonances for Anosov flows
• Tensor tomography: progress and challenges
• Le spectre marqué des longueurs des surfaces à courbure négative. (The spectrum marked by lengths of surfaces with negative curvature)
• Differentiability and analyticity of topological entropy for Anosov and geodesic flows
• Rigidity for surfaces of non-positive curvature
• Canonical perturbation theory of Anosov systems and regularity results for the Livsic cohomology equation
• On a regularity problem occurring in connection with Anosov diffeomorphisms
• Cocycles, symplectic structures and intersection
• Spectral rigidity of a compact negatively curved manifold
• Geodesic flows
• Spectral and scattering theory for symbolic potentials of order zero.
• Regularity of the composition operator in spaces of Hölder functions
• The global non-linear stability of the Kerr-de Sitter family of black holes
• Entropy and rigidity of locally symmetric spaces of strictly negative curvature
• Classical and microlocal analysis of the x-ray transform on Anosov manifolds
• Horocycle averages on closed manifolds and transfer operators
• Spectral theory of pseudodifferential operators of degree 0 and an application to forced linear waves
• Differentiability, rigidity and Godbillon-Vey classes for Anosov flows
• The marked length spectrum of Anosov manifolds
• Microlocal analysis of forced waves
• Anisotropic Hölder and Sobolev spaces for hyperbolic diffeomorphisms
• Fourier integral operators. II
• A paradifferential approach for hyperbolic dynamical systems and applications
• Remarks on Sobolev regularity in Anosov systems
• Dynamical zeta functions for Anosov flows via microlocal analysis
• Manifolds with non-positive curvature
• Four applications of conformal equivalence to geometry and dynamics
• Flots d'Anosov a Distributions Stable et Instable Differentiables
• Bootstrapping Regularity of the Anosov Splitting
• Regularity of the transfer map for cohomologous cocycles
• Geodesic stretch, pressure metric and marked length spectrum rigidity
• Generic Dynamical Properties of Connections on Vector Bundles
• Mathematical Theory of Scattering Resonances
• Lie Groups, Lie Algebras, and Representations
• On the space of Riemannian metrics
• Sub-actions for Anosov flows

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