Local and global trace formulae for smooth hyperbolic diffeomorphisms

DOI10.4171/JST/290zbMath1442.37038arXiv1712.06322MaRDI QIDQ2179895

Malo Jézéquel

Publication date: 13 May 2020

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.06322

zbMATH Keywords

hyperbolic diffeomorphismstransfer operatortrace formulaedynamical determinantRuelle resonances

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (5)

Fractal Weyl law for the Ruelle spectrum of Anosov flows ⋮ Compactness of transfer operators and spectral representation of Ruelle zeta functions for super-continuous functions ⋮ Global trace formula for ultra-differentiable Anosov flows ⋮ Transfer operators for ultradifferentiable expanding maps of the circle ⋮ Ruelle spectrum of linear pseudo-Anosov maps

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