Transitivity of Surface Dynamics Lifted to Abelian Covers
| dc.creator | Boyland, Philip | |
| dc.date | 2008-04-14 | |
| dc.date.accessioned | 2026-07-07T09:32:17Z | |
| dc.date.available | 2026-07-07T09:32:17Z | |
| dc.description | A homeomorphism f of a manifold M is called H_1-transitive if there is a transitive lift of an iterate of f to the universal Abelian cover \tM. Roughly speaking, this means that f has orbits which repeatedly and densely explore all elements of H_1(M). For a rel pseudo-Anosov map ϕof a compact surface M we show that the following are equivalent: (a) ϕis H_1-transitive, (b) the action of ϕon H_1(M) has spectral radius one, and (c) the lifts of the invariant foliations of ϕto \tM have dense leaves. The proof relies on a characterization of transitivity for twisted \Z^d-extensions of a transitive subshift of finite type. | |
| dc.identifier | https://arxiv.org/abs/0804.2245 | |
| dc.identifier | http://arxiv.org/abs/0804.2245 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158759 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37E30 (Primary); 37E45, 57M10 (Secondary) | |
| dc.title | Transitivity of Surface Dynamics Lifted to Abelian Covers | |
| dc.type | text |