Ergodic properties of quantized toral automorphisms
| dc.creator | Klimek, S. | |
| dc.creator | Lesniewski, A. | |
| dc.creator | Maitra, N. | |
| dc.creator | Rubin, R. | |
| dc.date | 1995-12-08 | |
| dc.date.accessioned | 2026-07-07T09:07:51Z | |
| dc.date.available | 2026-07-07T09:07:51Z | |
| dc.description | We study the ergodic properties for a class of quantized toral automorphisms, namely the cat and Kronecker maps. The present work uses and extends the results of [KL]. We show that quantized cat maps are strongly mixing, while Kronecker maps are ergodic and non-mixing. We also study the structure of these quantum maps and show that they are effected by unitary endomorphisms of a suitable vector bundle over a torus. The fiberwise parts of these endomorphisms form a family of finite dimensional quantizations, parametrized by the points of a torus, which includes the quantization proposed in [HB]. | |
| dc.description | 21 pages, plain Tex | |
| dc.identifier | https://arxiv.org/abs/chao-dyn/9512003 | |
| dc.identifier | http://arxiv.org/abs/chao-dyn/9512003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150517 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Ergodic properties of quantized toral automorphisms | |
| dc.type | text |