2 papers
math.DS2025
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…
math.DS2025
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…