General random perturbations of hyperbolic and expanding transformations

Yuri Kifer*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

37 Scopus citations

Abstract

Small random perturbations of a general form of diffeomorphisms having hyperbolic invariant sets and expanding maps are considered. The convergence of invariant measures of perturbations to the Sinaî-Bowen-Ruelle measure in the case of a hyperbolic attractor and to the smooth invariant measure in the expanding case are proved. The convergence of corresponding entropy characteristics and the approximation of the topological pressure by means of perturbations is considered as well.

Original languageEnglish
Pages (from-to)111-150
Number of pages40
JournalJournal d'Analyse Mathematique
Volume47
Issue number1
DOIs
StatePublished - Dec 1986

Fingerprint

Dive into the research topics of 'General random perturbations of hyperbolic and expanding transformations'. Together they form a unique fingerprint.

Cite this