| Title | A NOTE ON APPROXIMATION PROPERTIES OF THE OSELEDETS SPLITTING |
| Authors | Liang, Chao Liao, Gang Sun, Wenxiang |
| Affiliation | Cent Univ Finance & Econ, Sch Math & Stat, Beijing 100081, Peoples R China. Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China. Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China. |
| Keywords | Oseledets splitting mean angle independence number LYAPUNOV EXPONENTS |
| Issue Date | 2014 |
| Publisher | proceedings of the american mathematical society |
| Citation | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY.2014,142,(11),3825-3838. |
| Abstract | We prove that the Oseledets splitting, mean angle and independence number of an ergodic hyperbolic measure of a C1+r diffeomorphism can be approximated by those of atomic measures on hyperbolic periodic orbits. This removes the assumption on simple spectrum in an earlier paper by the authors and strengthens Katok's closing lemma by presenting more information about not only the state space but also its linearization. |
| URI | http://hdl.handle.net/20.500.11897/388432 |
| ISSN | 0002-9939 |
| Indexed | SCI(E) |
| Appears in Collections: | 数学科学学院 数学及其应用教育部重点实验室 |
