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

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arxiv 1402.4399 v3 pith:PIXUTHPZ submitted 2014-02-18 math.DS

classification math.DS
keywords lossmapsmemoryboundholdspolynomialratechosen
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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.

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