19 citations · 104 across the 41 of their papers we have counts for
5 papers · 2 filters
The typical measure preserving transformation is not an interval exchange transformation
Jon Chaika, Diana Davis
We show that the typical measure preserving transformation is not isomorphic to any interval exchange transformation.
Uniform distribution of saddle connection lengths
Jon Chaika, Donald Robertson
For almost every flat surface the sequence of saddle connection lengths listed in increasing order is uniformly distributed mod one.
Self-Joinings for 3-IETs
Jon Chaika, Alex Eskin
We show that typical interval exchange transformations on three intervals are not 2-simple answering a question of Veech. Moreover, the set of self-joinings of almost every 3-IET i…
A quantitative shrinking target result on Sturmian sequences for rotations
Jon Chaika, David Constantine
Let be an irrational rotation of the circle, and code the orbit of any point by whether belongs to or -- this produces a Sturmian sequence. A p…
The set of non-uniquely ergodic d-IETs has Hausdorff codimension 1/2
Jon Chaika, Howard Masur
We show that the set of not uniquely ergodic d-IETs has Hausdorff dimension d-3/2 (in the (d-1)-dimension space of d-IETs) for d>4. For d=4 this was shown by Athreya-Chaika and for…