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Spectral analysis of morse-smale flows ii: resonances and resonant states

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arxiv 1703.08038 v1 pith:X6GBBS6U submitted 2017-03-23 math-ph math.MP

Nguyen Viet Dang , Gabriel Riviere This is my paper · ORCID
classification math-phmath.MP
keywords flowmorse-smaleorbitsperiodicresonancesanalysisaroundasymptotics
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The goal of the present work is to compute explicitely the correlation spectrum of a Morse-Smale flow in terms of the Lyapunov exponents of the Morse--Smale flow, the topology of the flow around periodic orbits and the monodromy of some given flat connection. The corresponding eigenvalues exhibit vertical bands when the flow has periodic orbits. As a corollary, we obtain sharp Weyl asymptotics for the dynamical resonances.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Milnor metric for Morse--Smale flows from field theory

    math-ph 2026-07 accept novelty 6.0 of 10

    The axial-gauge partition function of Abelian BF theory recovers the Milnor metric, realizing Fried’s conjecture for Morse–Smale flows via two-step BV pushforward.

  2. The Fried Conjecture for Morse-Smale Flows: A Survey on Ray-Singer and Milnor Metrics

    math.DG 2026-07 conditional novelty 1.0 of 10

    A survey of the Morse-Smale Fried conjecture: it assembles the twisted Hodge, Thom-Smale, and Ruelle-zeta machinery and states the Ray-Singer = Milnor metric equality, attributing the proof to [SY21].

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