2017/03/23 by Nguyen Viet Dang, Dang, Nguyen Viet, Gabriel Rivière +1 · 1 citation
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.1703.08038
openalex publication_date 2017/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The goal of the present work is to compute explicitely the correlation\nspectrum of a Morse-Smale flow in terms of the Lyapunov exponents of the\nMorse--Smale flow, the topology of the flow around periodic orbits and the\nmonodromy of some given flat connection. The corresponding eigenvalues exhibit\nvertical bands when the flow has periodic orbits. As a corollary, we obtain\nsharp Weyl asymptotics for the dynamical resonances.\n