A stochastic contraction principle

I. V. Evstigneev, S. A. Pirogov

Research output: Contribution to journalArticlepeer-review


We provide conditions for the existence of measurable solutions to the equation ξ(Tω) = f(ω, ξ(ω)), where T: Ω → Ω is an automorphism of the probability space Ω and f(ω, ·) is a strictly (but not necessarily uniformly) contracting mapping. © de Gruyter 2007.
Original languageEnglish
Pages (from-to)155-162
Number of pages7
JournalRandom Operators and Stochastic Equations
Issue number2
Publication statusPublished - Jul 2007


  • Contraction mappings
  • Perron-Frobenius theory
  • Random dynamical systems
  • Stochastic equations


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