# Weakly mixing polygonal billiards

This paper discuss a particular kind of polygonal billiards, where the sides of the billiard table can adopt only a vertical or a horizontal direction. People call those billiards VH billiards.

We generalize here a result from the 80’s by Gutkin and Katok regarding weak-mixing in VH billiards. We show that for a (Baire) generic VH billiard, the billiard dynamics is weakly mixing along a large set of directions (namely, a dense and full measure set of directions).

Cite :

Alba Málaga Sabogal, Serge Troubetzkoy, (2017). “Weakly mixing polygonal billiards.” *Bull. London Math. Soc.*. 49 (141-147).