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.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

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

Files

fast-potential-v7.pdf
Files produced by the author(s)

Identifiers

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

Collections

Citation

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

Share

Metrics

Record views

23

Files downloads

18