The average length of a trajectory in a certain billiard in a flat two-torus

Simple item page
dc.creatorBoca, Florin P.
dc.creatorGologan, Radu N.
dc.creatorZaharescu, Alexandru
dc.date2001-10-19
dc.date2003-12-23
dc.date.accessioned2026-07-07T04:43:57Z
dc.date.available2026-07-07T04:43:57Z
dc.descriptionWe remove a small disc from the flat two-dimensional torus and consider a point-like particle that starts moving from the center of the disc with linear trajectory. We provide asymptotic estimates for the moments of the first exit time, with respect to the velocity, when the radius of the disc tends to zero.
dc.description28 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0110208
dc.identifierhttp://arxiv.org/abs/math/0110208
dc.identifierNew York J. Math. 9 (2003), 53-73
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62442
dc.subjectNumber Theory
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subject11B57; 82C40; 37D50; 58F25
dc.titleThe average length of a trajectory in a certain billiard in a flat two-torus
dc.typetext

Files

Collections

arXiv