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From infinite ergodic theory to number theory (and possibly back)

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  • Isola, Stefano

Abstract

Some basic facts of infinite ergodic theory are reviewed in a form suitable to be applied to interval maps with number theoretic significance such as the Farey map. This is an enlarged version of the lecture notes accompanying a short course on Infinite Ergodic Theory at the First meeting of the (mostly) young italian hyperbolicians (Corinaldo, Italy, June 8–12, 2009).

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  • Isola, Stefano, 2011. "From infinite ergodic theory to number theory (and possibly back)," Chaos, Solitons & Fractals, Elsevier, vol. 44(7), pages 467-479.
    • Handle: RePEc:eee:chsofr:v:44:y:2011:i:7:p:467-479
    DOI: 10.1016/j.chaos.2011.01.015
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    Cited by:

    1. Ben Ammou, S. & Bonanno, C. & Chouari, I. & Isola, S., 2015. "On the leading eigenvalue of transfer operators of the Farey map with real temperature," Chaos, Solitons & Fractals, Elsevier, vol. 71(C), pages 60-65.
    2. 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.

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