C. Ulcigrai

activity

20062026

most citedGeodesic flow on the Teichmueller disk of the regular octagon, cutting sequences and octagon continued fractions maps

17 citations · 85 across the 26 of their papers we have counts for

collaborators

Showing 2007Show all

2 papers · 1 filter

math.DS2007

Renewal-type Limit Theorem for the Gauss Map and Continued Fractions

Yakov G. Sinai, Corinna Ulcigrai

In this paper we prove the following renewal-type limit theorem. Given an irrational $α$ in (0,1) and R>0, let $q_{n_{R}}$ be the first denominator of the convergents of $α$ which ex…

math.DS2007

A Limit Theorem for Birkoff sums of non-integrable functions over rotations

Yakov G. Sinai, Corinna Ulcigrai

We consider Birkhoff sums of functions with a singularity of type 1/x over rotations and prove the following limit theorem. Let $S_{N} = S_{N} (α, x)$ be the N^th non-renormalized Birkhof…