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

Romain Aimino; Huyi Hu; Matthew Nicol; Andrei Török; Sandro Vaienti

doi:10.3934/dcds.2015.35.793

Article Contents

2015, Volume 35, Issue 3: 793-806. Doi: 10.3934/dcds.2015.35.793

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

1.
Aix Marseille Université, CNRS, CPT, UMR 7332, 13288 Marseille
2.
Department of Mathematics, Michigan State University, East Lansing, MI 48824
3.
Department of Mathematics, University of Houston, Houston, TX 77204-3008

Received: January 31, 2014

Revised: May 31, 2014

Published: February 2015

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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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Mathematics Subject Classification: 37E05, 37A25, 37H99, 37M99.

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References

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