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arXiv:1402.4399 [math.DS]AbstractReferencesReviewsResources

Polynomial loss of memory for maps of the interval with a neutral fixed point

R. Aimino, H. Hu, M. Nicol, A. Torok, S. Vaienti

Published 2014-02-18, updated 2014-10-30Version 3

We give an example of a sequential dynamical system consisting of intermittent-type maps which exhibits loss of memory with a polynomial rate of decay. A uniform bound holds for the upper rate of memory loss. The maps may be chosen in any sequence, and the bound holds for all compositions.

Comments: 16 pages
Categories: math.DS
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