6 citations · 7 across the 2 of their papers we have counts for
2 papers
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…
math-ph2012★ 6 cited
Multiple scattering in random mechanical systems and diffusion approximation
Renato Feres, Jasmine Ng, Hong-Kun Zhang
This paper is concerned with stochastic processes that model multiple (or iterated) scattering in classical mechanical systems of billiard type, defined below. From a given (determ…