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math.DSNov 1, 2016
47
citations (OpenAlex)
authors
  • D. Dragicevic
  • G. Froyland
  • C. González-Tokman
  • S. Vaienti
institutions
  • Centre de Physique Théorique
  • Centre National de la Recherche Scientifique
  • The University of Queensland
  • Université de Toulon
  • University of Rijeka
  • UNSW Sydney
arXiv abstractPDF
paper

Almost sure invariance principle for random piecewise expanding maps

arXiv:1611.04003 · doi:10.1088/1361-6544/aaaf4b

Abstract

We prove a fiberwise almost sure invariance principle for random piecewise expanding transformations in one and higher dimensions using recent developments on martingale techniques.

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  • Sunklodas' approach to normal approximation for time-dependent dynamical systems
  • Central limit theorems with a rate of convergence for time-dependent intermittent maps
  • Quenched and annealed equilibrium states for random Ruelle expanding maps and applications
  • On the law of the iterated logarithm for continued fractions with sequentially restricted partial quotients
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