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

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  • Lenci, Marco

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.

Suggested Citation

  • Lenci, Marco, 2016. "A simple proof of the exactness of expanding maps of the interval with an indifferent fixed point," Chaos, Solitons & Fractals, Elsevier, vol. 82(C), pages 148-154.
    • Handle: RePEc:eee:chsofr:v:82:y:2016:i:c:p:148-154
    DOI: 10.1016/j.chaos.2015.11.024
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    1. Isola, Stefano, 2011. "From infinite ergodic theory to number theory (and possibly back)," Chaos, Solitons & Fractals, Elsevier, vol. 44(7), pages 467-479.
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