Flat trace statistics of the transfer operator of a random partially expanding map

DOI10.1088/1361-6544/ab81efzbMath1454.37033arXiv1902.00270OpenAlexW2914049653MaRDI QIDQ5113320

Luc Gossart

Publication date: 4 June 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.00270

zbMATH Keywords

thermodynamic formalismconvergence in lawskew productpartially expanding maprandom roof function

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Dynamical systems involving maps of the circle (37E10) Partially hyperbolic systems and dominated splittings (37D30) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pollicott-Ruelle resonances for open systems
• Upper bound on the density of Ruelle resonances for Anosov flows
• On mixing properties of compact group extensions of hyperbolic systems
• On the rate of mixing of Axiom A flows
• Locating resonances for axiom A dynamical systems
• On decay of correlations in Anosov flows
• Zeta-functions for expanding maps and Anosov flows
• Global normal form and asymptotic spectral gap for open partially expanding maps
• On contact Anosov flows
• Ruelle-Pollicott resonances for manifolds with hyperbolic cusps
• Anisotropic Hölder and Sobolev spaces for hyperbolic diffeomorphisms
• Smooth Anosov flows: Correlation spectra and stability
• A Lefschetz fixed point formula for elliptic complexes. I
• Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps
• Semiclassical origin of the spectral gap for transfer operators of a partially expanding map
• The partial captivity condition for U(1) extensions of expanding maps on the circle
• Banach spaces adapted to Anosov systems
• Quasi-compactness of transfer operators for contact Anosov flows
• Fredholm determinants for hyperbolic diffeomorphisms of finite smoothness
• Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps
• Ruelle Perron Frobenius spectrum for Anosov maps
• On the spectra of quenched random perturbations of partially expanding maps on the torus
• Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
• Decay of correlations in suspension semi-flows of angle-multiplying maps
• Lectures on spectral theory of elliptic operators

This page was built for publication: Flat trace statistics of the transfer operator of a random partially expanding map