A remark on papers by pixton and oliveira: Genericity of symplectic diffeomorphisms ofS 2 with positive topological entropy |
| |
| Authors: | Howard Weiss |
| |
| Affiliation: | (1) Department of Mathematics, Pennsylvania State University, 16802 University Park, Pennsylvania |
| |
| Abstract: | We prove the existence of an open and dense subset of mapsf Diff  (S2) which have positive topological entropy. It follows that these maps have infinitely many hyperbolic periodic points and an exponential growth rate of hyperbolic periodic points. The proof is an application of Pixton's theorem |
| |
| Keywords: | Genericity chaos topological entropy |
| 本文献已被 SpringerLink 等数据库收录！ |
