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Big Birkhoff sums in $d$-decaying Gauss like iterated function systems

Abstract : The increasing rate of the Birkhoff sums in the infinite iterated function systems with polynomial decay of the derivative (for example the Gauss map) is studied. For different unbounded potential functions, the Hausdorff dimensions of the sets of points whose Birkhoff sums share the same increasing rate are obtained.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-02119677
Contributor : Lingmin Liao <>
Submitted on : Wednesday, August 18, 2021 - 10:04:36 AM
Last modification on : Friday, August 20, 2021 - 3:19:43 AM

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Big-Birkhoff-final.pdf
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  • HAL Id : hal-02119677, version 3
  • ARXIV : 1905.02547

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Michal Rams, Lingmin Liao, Michał Rams. Big Birkhoff sums in $d$-decaying Gauss like iterated function systems. 2021. ⟨hal-02119677v3⟩

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