Energy and Invariant Measures for Birational Surface Maps
| dc.creator | Bedford, Eric | |
| dc.creator | Diller, Jeffrey | |
| dc.date | 2003-09-30 | |
| dc.date.accessioned | 2026-07-07T05:01:33Z | |
| dc.date.available | 2026-07-07T05:01:33Z | |
| dc.description | When a birational surface map is expanding on cohomology there is a canonical way to associate positive closed currents to the map and its inverse. In this paper we use a version of Dirichlet energy to construct the wedge product of these two currents under a very weak additional condition on the map. We show that the resulting measure is invariant and mixing, and we establish that its Lyapunov exponents are finite and non-zero. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/math/0310002 | |
| dc.identifier | http://arxiv.org/abs/math/0310002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68712 | |
| dc.subject | Complex Variables | |
| dc.subject | Dynamical Systems | |
| dc.subject | 32H50 (Primary) 37Fxx, 37C40, 32U40 (Secondary) | |
| dc.title | Energy and Invariant Measures for Birational Surface Maps | |
| dc.type | text |