Random Perturbations of Axiom A Basic Sets
- Cite this article as:
- Liu, PD. Journal of Statistical Physics (1998) 90: 467. doi:10.1023/A:1023280407906
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.