Unipotent flows on the space of branched covers of Veech surfaces

Alex Eskin, Jens Marklof, Dave Witte Morris

There is a natural action of SL(2,R) on the moduli space of translation surfaces, and this yields an action of the unipotent subgroup $U = {\begin{pmatrix} 1 & * 0 & 1 \end{pmatrix…