Invariant measures and the set of exceptions to Littlewood's conjecture
| dc.creator | Einsiedler, Manfred | |
| dc.creator | Katok, Anatole | |
| dc.creator | Lindenstrauss, Elon | |
| dc.date | 2006-12-22 | |
| dc.date.accessioned | 2026-07-07T07:36:53Z | |
| dc.date.available | 2026-07-07T07:36:53Z | |
| dc.description | We classify the measures on SL (k,R)/SL (k,Z) which are invariant and ergodic under the action of the group A of positive diagonal matrices with positive entropy. We apply this to prove that the set of exceptions to Littlewood's conjecture has Hausdorff dimension zero. | |
| dc.description | 48 pages | |
| dc.identifier | https://arxiv.org/abs/math/0612721 | |
| dc.identifier | http://arxiv.org/abs/math/0612721 | |
| dc.identifier | Ann. of Math. (2) 164 (2006), no. 2, 513--560 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120587 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Number Theory | |
| dc.title | Invariant measures and the set of exceptions to Littlewood's conjecture | |
| dc.type | text |