On quantum ergodicity for linear maps of the torus
| dc.creator | Kurlberg, P. | |
| dc.creator | Rudnick, Z. | |
| dc.date | 1999-10-27 | |
| dc.date.accessioned | 2026-07-07T05:31:18Z | |
| dc.date.available | 2026-07-07T05:31:18Z | |
| dc.description | We prove a strong version of quantum ergodicity for linear hyperbolic maps of the torus (``cat maps''). We show that there is a density one sequence of integers so that as N tends to infinity along this sequence, all eigenfunctions of the quantum propagator at inverse Planck constant N are uniformly distributed. A key step in the argument is to show that for a hyperbolic matrix in the modular group, there is a density one sequence of integers N for which its order (or period) modulo N is somewhat larger than the square root of N. | |
| dc.description | 32 pages | |
| dc.identifier | https://arxiv.org/abs/math/9910145 | |
| dc.identifier | http://arxiv.org/abs/math/9910145 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79291 | |
| dc.subject | Number Theory | |
| dc.subject | Chaotic Dynamics | |
| dc.subject | Mathematical Physics | |
| dc.subject | 11 | |
| dc.title | On quantum ergodicity for linear maps of the torus | |
| dc.type | text |