Random Perturbations of Axiom A Basic Sets |
| |
| Authors: | Pei-Dong Liu |
| |
| Institution: | (1) Institut für Dynamische Systeme, Universität Bremen, Postfach 330 440, 28334 Bremen, Germany;;(2) Department of Mathematics, Peking University, Beijing, 100871, China |
| |
| Abstract: | In this paper we study small, random, diffeomorphism-type perturbations of an Axiom A basic set. By means of the structural stability of such a basic set with respect to time-dependent perturbations and by means of the Markov partition of the basic set, we apply the thermodynamic formalism of random subshifts of finite type to this situation, obtaining some ergodic-theoretic results concerning equilibrium states.On leave for the acedemic year 1997–1998 from the author's permanent address: |
| |
| Keywords: | Axiom A basic set bundle random dynamical system equilibrium state SRB measure |
| 本文献已被 SpringerLink 等数据库收录！ |
|
