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

By Romain Aimino, Huyi Hu, Matthew Nicol, Andrei Török, Sandro Vaienti. 2014

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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.

Subfields: Computer Networks and Communications, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2f98a19eb7d623a3edbbd579930a51c7e4bd6c59