The multifractal analysis of Birkhoff averages for conformal repellers under random perturbations |
| |
| Authors: | Lin Shu |
| |
| Institution: | 1. LMAM, School of Mathematical Sciences, Peking University, 100871, Beijing, People’s Republic of China
|
| |
| Abstract: | We study the stability of multifractal structures for dynamical systems under small perturbations. For a repeller associated with an expanding C 1+β -conformal topological mixing map, we show that the multifractal structure of Birkhoff averages is stable under small random perturbations. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
