Journal of Statistical Physics

, Volume 90, Issue 1–2, pp 467–490 | Cite as

Random Perturbations of Axiom A Basic Sets

  • Pei-Dong Liu
Article

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 set bundle random dynamical system equilibrium state SRB measure 

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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

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