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Decay of correlation for random intermittent maps

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journal contribution
posted on 2016-11-24, 11:47 authored by Wael BahsounWael Bahsoun, Christopher Bose, Yuejiao Duan
We study a class of random transformations built over finitely many intermittent maps sharing a common indifferent fixed point. Using a Young-tower technique, we show that the map with the fastest relaxation rate dominates the asymptotics. In particular, we prove that the rate of correlation decay for the annealed dynamics of the random map is the same as the sharp rate of correlation decay for the map with the fastest relaxation rate.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Nonlinearity

Volume

27

Issue

7

Pages

1543 - 1554

Citation

BAHSOUN, W., BOSE, C. and DUAN, Y., 2014. Decay of correlation for random intermittent maps. Nonlinearity, 27 (7), pp. 1543 - 1554.

Publisher

© IOP Publishing Ltd & London Mathematical Society

Version

  • AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2014

Notes

This article was published in the journal Nonlinearity [© IOP Publishing Ltd & London Mathematical Society ] and the definitive version is available at: http:dx.doi.org/10.1088/0951-7715/27/7/1543

ISSN

0951-7715

eISSN

1361-6544

Language

  • en

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