On the Pollicott-Ruelle resonances

2017/03/04 by Joel Antonio-Vásquez, Antonio-Vásquez, Joel
Computer Science · Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1703.01522

openalex publication_date 2017/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this survey is to present the recent advances about the Pollicott-Ruelle resonances.

Citations

• Lens rigidity for manifolds with hyperbolic trapped set
• A local trace formula for Anosov flows (with an appendix by Frédéric Naud)
• Pollicott-Ruelle resonances via kinetic Brownian motion

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• Theory of resonances
• Mathematical Study of Scattering Resonances
• Quantum resonances and partial differential equations
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