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Decay of correlation for random intermittent maps
journal contribution
posted on 2016-11-24, 11:47 authored by Wael BahsounWael Bahsoun, Christopher Bose, Yuejiao DuanWe 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
NonlinearityVolume
27Issue
7Pages
1543 - 1554Citation
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 SocietyVersion
- 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
2014Notes
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/10.1088/0951-7715/27/7/1543ISSN
0951-7715eISSN
1361-6544Publisher version
Language
- en