Journal of Statistical Physics

, Volume 90, Issue 1, pp 467–490

Random Perturbations of Axiom A Basic Sets

  • Pei-Dong Liu
Article

DOI: 10.1023/A:1023280407906

Cite this article as:
Liu, PD. Journal of Statistical Physics (1998) 90: 467. doi:10.1023/A:1023280407906

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.

Axiom A basic setbundle random dynamical systemequilibrium stateSRB measure

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • Pei-Dong Liu
    • 1
    • 2
  1. 1.Institut für Dynamische Systeme, Universität BremenBremenGermany;
  2. 2.Department of MathematicsPeking UniversityBeijingChina