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Random Perturbations of Axiom A Basic Sets (1998)

Liu, Pei-Dong

Springer

Journal of statistical physics 90 (1998), S. 467-490

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ISSN: 1572-9613

Keywords: Axiom A basic set ; bundle random dynamical system ; equilibrium state ; SRB measure

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1023280407906

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