English

Flat traces for a random partially hyperbolic map

Dynamical Systems 2020-06-29 v1

Abstract

We consider a R/Z\mathbb R/\mathbb Z extension of an Anosov diffemorphism of a compact Riemannian manifold by a random function τ\tau and show that the flat traces of the transfer operator, reduced with respect to frequency in the fibers, converge in law towards Gaussians, up to an Ehrenfest time that decreases with the regularity of τ\tau.

Keywords

Cite

@article{arxiv.2006.14753,
  title  = {Flat traces for a random partially hyperbolic map},
  author = {Luc Gossart},
  journal= {arXiv preprint arXiv:2006.14753},
  year   = {2020}
}
R2 v1 2026-06-23T16:38:25.826Z