19 citations · 104 across the 41 of their papers we have counts for
6 papers · 1 filter
Homogeneous approximation for flows on translation surfaces
Jon Chaika
We consider how quickly a typical point returns to neighborhoods of itself under the flow in a typical direction on a translation surface.
Every transformation is disjoint from almost every non-classical exchange
Jon Chaika, Vaibhav Gadre
A natural generalization of interval exchange maps are linear involutions, first introduced by Danthony and Nogueira. Recurrent train tracks with a single switch which we call non-…
Winning games for bounded geodesics in moduli spaces of quadratic differentials
Jonathan Chaika, Yitwah Cheung, Howard Masur
We prove that the set of bounded geodesics in Teichmuller space are a winning set for Schmidt's game. This is a notion of largeness in a metric space that can apply to measure 0 an…
-recurrence in cocycles
Jon Chaika, David Ralston
After relating the notion of -recurrence in skew products to the range of values taken by partial ergodic sums and Lyapunov exponents, ergodic -valued cocycles over…
On the Hausdorff dimensions of a singular ergodic measure for some minimal interval exchange transformations
Jon Chaika
We show some results about the Hausdorff dimension of particular minimal but not uniquely ergodic interval exchange transformations. There is an appendix which shows that typical p…
Skew products over rotations with exotic properties
Jon Chaika
We construct some skew products over rotations with strange properties. We construct a non-uniquely ergodic Z_2 skew product over a bounded quotient rotation. We describe some of i…