Can we predict how we shall earn when playing pinball? How could we mathematically modelize a pinball of infinite size? Actually, a pinball can be understood as a chaotic dynamical system, with close links to kinetic theory of gas. A recent result by Françoise Pène and Damien Thomine deals with the case of infinite size billiards.
To read more about this result: link to the article in French
Reference : F. Pène & D. Thomine, Potential kernel, hitting probabilities and distributional asymptotics, arXiv:1702.06625 (2017).