A pinball of infinite size

Submitted by Insmi on Sat, 05/06/2017 - 09:46
pinball
Most pinballs are of finite size...

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).