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Paper

Almost sure invariance principle for random piecewise expanding maps

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Published 10 April 2018 • © 2018 IOP Publishing Ltd & London Mathematical Society
, , Citation D Dragičević et al 2018 Nonlinearity 31 2252 DOI 10.1088/1361-6544/aaaf4b

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Author e-mails

ddragicevic@math.uniri.hr

G.Froyland@unsw.edu.au

cecilia.gt@uq.edu.au

vaienti@cpt.univ-mrs.fr

Author affiliations

1 Department of Mathematics, University of Rijeka, Rijeka Croatia and School of Mathematics and Statistics, University of New South Wales, Sydney NSW 2052, Australia

2 School of Mathematics and Statistics, University of New South Wales, Sydney NSW 2052, Australia

3 School of Mathematics and Physics, The University of Queensland, St Lucia QLD 4072, Australia

4 Université de Toulon, CNRS, CPT, UMR 7332, Marseille, France

Dates

  1. Received 10 March 2017
  2. Accepted 14 February 2018
  3. Published

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0951-7715/31/5/2252

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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10.1088/1361-6544/aaaf4b