A simple proof of the exactness of expanding maps of the interval with an indifferent fixed point

Marco Lenci

Chaos, Solitons & Fractals, 2016, vol. 82, issue C, 148-154

Abstract: Expanding maps with indifferent fixed points, a.k.a. intermittent maps, are popular models in nonlinear dynamics and infinite ergodic theory. We present a simple proof of the exactness of a wide class of expanding maps of [0, 1], with countably many surjective branches and a strongly neutral fixed point in 0.

Keywords: Intermittent maps; Neutral fixed points; Markov maps; Extended dynamical systems; Infinite ergodic theory; Anomalous diffusion (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:82:y:2016:i:c:p:148-154

DOI: 10.1016/j.chaos.2015.11.024

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