83 citations · 326 across the 42 of their papers we have counts for
52 papers
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…
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…
Stellar foliation structures on surfaces
W. Patrick Hooper, Ferrán Valdez, Barak Weiss
We introduce the notion of a zebra structure on a surface, which is a more general geometric structure than a translation structure or a dilation structure that still gives a direc…
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…
Geometric and arithmetic aspects of approximation vectors
Uri Shapira, Barak Weiss
Let . We associate three objects to each approximation of : the projection of the lattice to the hy…
Classification and statistics of cut and project sets
René Rühr, Yotam Smilansky, Barak Weiss
We define Ratner-Marklof-Strombergsson measures. These are probability measures supported on cut-and-project sets in R^d (d > 1) which are invariant and ergodic for the action of t…