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 : Tuesday, May 7, 2019 - 2:51:38 PM
Last modification on : Wednesday, May 8, 2019 - 1:15:37 AM

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fast-potential-v7.pdf
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Identifiers

• HAL Id : hal-02119677, version 1
• ARXIV : 1905.02547

Citation

Lingmin Liao, Michal Rams. Big Birkhoff sums in $d$-decaying Gauss like iterated function systems. 2019. ⟨hal-02119677⟩

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