dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Saghin, Radu |
dc.contributor.author |
Xia, Zhihong |
dc.date.accessioned |
2008-12-11T14:12:48Z |
dc.date.available |
2008-12-11T14:12:48Z |
dc.date.created |
2008-05 |
dc.date.issued |
2008-05 |
dc.identifier.uri |
http://hdl.handle.net/2072/12815 |
dc.format.extent |
9 |
dc.format.extent |
174961 bytes |
dc.format.mimetype |
application/pdf |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation.ispartofseries |
Prepublicacions del Centre de Recerca Matemàtica;808 |
dc.rights |
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/) |
dc.subject.other |
Entropia |
dc.subject.other |
Difeomorfismes |
dc.title |
The entropy conjecture for partially hyperbolic diffeomorphisms with 1-D center |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
515.1 - Topologia |
dc.description.abstract |
We prove that if f is a partially hyperbolic diffeomorphism on the compact manifold M with one dimensional center bundle, then the logarithm of the spectral radius of the map induced by f on the real homology groups of M is smaller or equal to the topological entropy of f. This is a particular case of the Shub's entropy conjecture, which claims that the same conclusion should be true for
any C1 map on any compact manifold. |