most citedNecessary and sufficient condition for $\cM_2$-convergence to a Lévy process for billiards with cusps at flat points

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math.DS2019★ 1 cited

Necessary and sufficient condition for $\cM_2$-convergence to a Lévy process for billiards with cusps at flat points

Paul Jung, Ian Melbourne, Françoise Pène +2

We consider a class of planar dispersing billiards with a cusp at a point of vanishing curvature. Convergence to a stable law and to the corresponding Lévy process in the $\cM_1$ a…