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arXiv · 1402.4399

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

R. Aimino·H. Hu·M. Nicol·A. Torok·S. Vaienti
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Abstract

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.

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R. Aimino, H. Hu, M. Nicol, A. Torok, S. Vaienti. 2014-02-18. Polynomial loss of memory for maps of the interval with a neutral fixed point. https://arxiv.org/abs/1402.4399

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