Stable laws for chaotic billiards with cusps at flat points
  We consider billiards with a single cusp where the walls meeting at the vertex of the cusp have zero one-sided curvature, thus forming a flat point at the vertex. For H\"older continuous observables, we show that properly normalized Birkoff sums, with respect to the billiard map, converge in law to a totally skewed $\alpha$-stable law. 
Paul Jung and Hongkun Zhang
math-ph math.DS math.MP math.PR