Expansiveness, specification, and equilibrium states for random bundle transformations

V. M. Gundlach*, Yu Kifer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We introduce notions of expansiveness, conjugation, and specification for random bundle transformations and derive the uniqueness of equilibrium states for a large class of functions. We consider both invertible and noninvertible cases and discuss the results in the random subshifts case. As an example of such systems we introduce random sofic shifts which can be described both via random graphs and as factors of random subshifts of finite type. Based on the random graph description we discuss large deviation results for random sofic shifts.

Original languageEnglish
Pages (from-to)89-120
Number of pages32
JournalDiscrete and Continuous Dynamical Systems
Volume6
Issue number1
StatePublished - 2000

Keywords

  • Equilibrium states
  • Gibbs states
  • Random shifts
  • Random transformations

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