Horocyclic invariance of Ruelle resonant states for contact Anosov flows in dimension 3

2017/05/22 by Fréderic Faure, Frederic Faure, Colin Guillarmou +2
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Chaos control and synchronization #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Stochastic processes and statistical mechanics #math.AP #math.DS

paper · pdf · doi:10.48550/arxiv.1705.07965

23 pages

arxiv created 2017/05/22 · openalex publication_date 2017/05/22 · arxiv updated 2017/05/24 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We show that for smooth contact Anosov flows in dimension 3, the resonant states associated to the first band of Ruelle resonances are distributions that are killed by the unstable derivative.

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