19 citations · 104 across the 41 of their papers we have counts for
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Horocycle dynamics in rank one invariant subvarieties I: weak measure classification and equidistribution
Jon Chaika, Barak Weiss, Florent Ygouf
Let M be an invariant subvariety in the moduli space of translation surfaces. We contribute to the study of the dynamical properties of the horocycle flow on M. In the context of d…
On the ergodic theory of the real Rel foliation
Jon Chaika, Barak Weiss
Let be a stratum of translation surfaces with at least two singularities, let denote the Masur-Veech measure on , and let be a fl…
Shrinking rates of horizontal gaps for generic translation surfaces
Jon Chaika, Samantha Fairchild
A translation surface is given by polygons in the plane, with sides identified by translations to create a closed Riemann surface with a flat structure away from finitely many sing…
On the Space of Ergodic Measures for the Horocycle Flow on Strata of Abelian Differentials
Jon Chaika, Osama Khalil, John Smillie
We study the horocycle flow on the stratum of translation surfaces . We show that there is a sequence of horocycle ergodic measures, each supported on a periodic ho…
Tremors and horocycle dynamics on the moduli space of translation surfaces
Jon Chaika, John Smillie, Barak Weiss
We introduce a "tremor" deformation on strata of translation surfaces. Using it, we give new examples of behaviors of horocycle flow orbits in strata of translation surfaces. In th…
Weakly Mixing Polygonal Billiards
Jon Chaika, Giovanni Forni
We prove that there exists a residual set of (non-rational) polygons such the billiard flow is weakly mixing with respect to the Liouville measure (on the unit tangent bundle to th…