Back to Boundaries in Billiards

Autor: Bunimovich, Leonid, Su, Yaofeng
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: We prove Poisson limit laws for open billiards where the holes are on the boundaries of billiard tables (rather than some abstract holes in the phase space of a billiard). Such holes are of the main interest for billiard systems, especially for applications. Sinai billiards with or without a finite horizon, diamond billiards, and semi-dispersing billiards, as well as focusing billiards with slow decay of correlations, are considered.
Comment: CMP 2024
Databáze: arXiv