19 citations · 104 across the 41 of their papers we have counts for
52 papers
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…
Connectivity of the Gromov Boundary of the Free Factor Complex
Mladen Bestvina, Jon Chaika, Sebastian Hensel
We show that in large enough rank, the Gromov boundary of the free factor complex is path connected and locally path connected.
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…
Zero Measure Spectrum for Multi-Frequency Schrödinger Operators
Jon Chaika, David Damanik, Jake Fillman +1
Building on works of Berthé--Steiner--Thuswaldner and Fogg--Nous we show that on the two-dimensional torus, Lebesgue almost every translation admits a natural coding such that the…