On some random billiards in a tube with superdiffusion

Autor: Bruin, Henk, Kolenbrander, Niels, Terhesiu, Dalia
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: We consider a class of random billiards in a tube, where reflection angles at collisions with the boundary of the tube are random variables rather than deterministic (and elastic) quantities. We obtain a (non-standard) Central Limit Theorem for the horizontal displacement of a particle, which marginally fails to have a second moment w.r.t.\ the invariant measure of the random billiard.
Databáze: arXiv