dc.creator | ADDAS-ZANATA, Salvador | |
dc.creator | TAL, Fabio Armando | |
dc.date.accessioned | 2012-10-20T04:49:46Z | |
dc.date.accessioned | 2018-07-04T15:46:32Z | |
dc.date.available | 2012-10-20T04:49:46Z | |
dc.date.available | 2018-07-04T15:46:32Z | |
dc.date.created | 2012-10-20T04:49:46Z | |
dc.date.issued | 2011 | |
dc.identifier | MATHEMATISCHE ZEITSCHRIFT, v.267, n.3/Abr, p.971-980, 2011 | |
dc.identifier | 0025-5874 | |
dc.identifier | http://producao.usp.br/handle/BDPI/30561 | |
dc.identifier | 10.1007/s00209-009-0657-x | |
dc.identifier | http://dx.doi.org/10.1007/s00209-009-0657-x | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1627200 | |
dc.description.abstract | Let f be a homeomorphism of the closed annulus A that preserves the orientation, the boundary components and that has a lift (f) over tilde to the infinite strip (A) over tilde which is transitive. We show that, if the rotation numbers of both boundary components of A are strictly positive, then there exists a closed nonempty unbounded set B(-) subset of (A) over tilde such that B(-) is bounded to the right, the projection of B to A is dense, B - (1, 0) subset of B and (f) over tilde (B) subset of B. Moreover, if p(1) is the projection on the first coordinate of (A) over tilde, then there exists d > 0 such that, for any (z) over tilde is an element of B(-), lim sup (n ->infinity) p1((f) over tilde (n)((z) over tilde)) - p(1) ((z) over tilde)/n < - d. In particular, using a result of Franks, we show that the rotation set of any homeomorphism of the annulus that preserves orientation, boundary components, which has a transitive lift without fixed points in the boundary is an interval with 0 in its interior. | |
dc.language | eng | |
dc.publisher | SPRINGER | |
dc.relation | Mathematische Zeitschrift | |
dc.rights | Copyright SPRINGER | |
dc.rights | closedAccess | |
dc.subject | Closed connected sets | |
dc.subject | Transitivity | |
dc.subject | Periodic orbits | |
dc.subject | Compactification | |
dc.title | Homeomorphisms of the annulus with a transitive lift | |
dc.type | Artículos de revistas | |