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math.DS2023
Horospherical dynamics in invariant subvarieties
John Smillie, Peter Smillie, Barak Weiss +1
We consider the horospherical foliation on any invariant subvariety in the moduli space of translation surfaces. This foliation can be described dynamically as the strong unstable…
math.DS2023
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…
math.DS2023
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…