On small random perturbations of some smooth dynamical systems

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Abstract

This paper studies the problem of convergence of invariant measure which is a result of perturbation by a diffusion process with a small parameter (tending to zero) of certain smooth dynamical systems.

Original languageEnglish
Pages (from-to)1083-1107
Number of pages25
JournalMathematics of the USSR - Izvestija
Volume8
Issue number5
DOIs
StatePublished - 1975

Bibliographical note

translation from Usp. Mat. Nauk 29, No. 4(178), 173-174 (1974).

Keywords

  • 37C40
  • 37H99
  • 28D05
  • 35J15
  • 57R50
  • 58J99
  • 60J10
  • 60J35
  • 60J60

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