An Effective Contraction Estimate in the Stable Subspaces of Phase Points in Hard Ball Systems
| dc.creator | Simanyi, Nandor | |
| dc.date | 2007-03-08 | |
| dc.date.accessioned | 2026-07-07T07:50:52Z | |
| dc.date.available | 2026-07-07T07:50:52Z | |
| dc.description | In this paper we prove the following result, useful and often needed in the study of the ergodic properties of hard ball systems: In any such system, for any phase point x with a non-singular forward trajectory and infinitely many connected collision graphs on that forward orbit, it is true that for any small number epsilon there is a stable tangent vector w of x and a large enough time t>>1 so that the vector w undergoes a contraction by a factor of less than epsilon in time t. Of course, the Multiplicative Ergodic Theorem of Oseledets provides a much stronger conclusion, but at the expense of an unspecified zero-measured exceptional set of phase points, and this is not sufficient in the sophisticated studies the ergodic properties of such flows. Here the exceptional set of phase points is a dynamically characterized set, so that it suffices for the proofs showing how global ergodicity follows from the localone. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0703215 | |
| dc.identifier | http://arxiv.org/abs/math/0703215 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125311 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37D50; 34D05 | |
| dc.title | An Effective Contraction Estimate in the Stable Subspaces of Phase Points in Hard Ball Systems | |
| dc.type | text |