| Title | Metric entropy and the number of periodic points |
| Authors | Liao, Gang Sun, Wenxiang Tian, Xueting |
| Affiliation | Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China. |
| Keywords | INVARIANT-MEASURES |
| Issue Date | 2010 |
| Publisher | nonlinearity |
| Citation | NONLINEARITY.2010,23,(7),1547-1558. |
| Abstract | For an ergodic hyperbolic measure mu preserved by a C(1+r) (r > 0) diffeomorphism f, the exponential growth rate of the number of such periodic points that their atomic measures approximate mu and their Lyapunov exponents approximate the Lyapunov exponents of mu equals the metric entropy h(mu)(f) (see theorem 2.3). Moreover, this equality holds pointwise mu-a.e. (see theorem 2.4). |
| URI | http://hdl.handle.net/20.500.11897/395670 |
| ISSN | 0951-7715 |
| DOI | 10.1088/0951-7715/23/7/002 |
| 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 |
