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math.DSAug 8, 2023
authors
  • Andrew Larkin
  • Marks Ruziboev
institutions
  • Academy of Sciences Republic of Uzbekistan
  • Loughborough University
  • University of Vienna
arXiv abstractPDF
paper

Quenched decay of correlations for random contracting Lorenz maps

arXiv:2308.04351 · doi:10.1017/etds.2025.10215

Abstract

In this work, we consider i.i.d. random perturbations of contracting Lorenz maps sufficiently close to a Rovella parameter. We prove that the quenched correlations of the random dynamical system decay exponentially.

References in corpus (1)

  • Quenched decay of correlations for nonuniformly hyperbolic random maps with an ergodic driving system
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