10 citations · 13 across the 5 of their papers we have counts for
5 papers
Symbolic coding for linear trajectories in the regular octagon
John Smillie, Corinna Ulcigrai
We consider a symbolic coding of linear trajectories in the regular octagon with opposite sides identified (and more generally in regular 2n-gons). Each infinite trajectory gives a…
Absence of mixing in area-preserving flows on surfaces
Corinna Ulcigrai
We prove that minimal area-preserving flows locally given by a smooth Hamiltonian on a closed surface of any genus are typically (in the measure-theoretical sense) not mixing. The…
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 in (0,1) and R>0, let be the first denominator of the convergents of which ex…
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 be the N^th non-renormalized Birkhof…
Mixing of asymmetric logarithmic suspension flows over interval exchange transformations
Corinna Ulcigrai
We consider suspension flows built over interval exchange transformations with the help of roof functions having an asymmetric logarithmic singularity. We prove that such flows are…