Slow entropy and symplectomorphisms of cotangent bundles
| dc.creator | Frauenfelder, Urs | |
| dc.creator | Schlenk, Felix | |
| dc.date | 2004-04-01 | |
| dc.date.accessioned | 2026-07-07T05:06:58Z | |
| dc.date.available | 2026-07-07T05:06:58Z | |
| dc.description | We consider an entropy-type invariant which measures the polynomial volume growth of submanifolds under the iterates of a map, and we establish sharp uniform lower bounds of this invariant for the following classes of symplectomorphisms of cotangent bundles over a compact base: 1) non-identical compactly supported symplectomorphisms which are symplectically isotopic to the identity, 2) symplectomorphisms generated by classical Hamiltonian functions, 3) Dehn twist like symplectomorphisms over compact rank one symmetric spaces. | |
| dc.description | 46 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/math/0404017 | |
| dc.identifier | http://arxiv.org/abs/math/0404017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70680 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Dynamical Systems | |
| dc.title | Slow entropy and symplectomorphisms of cotangent bundles | |
| dc.type | text |