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

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.

16 pages

Cited by in corpus (2)

• Quasistatic dynamical systems
• Statistical properties for compositions of standard maps with increasing coefficent