Absolutely continuous invariant measures and random perturbations for certain one-dimensional maps

Michael Benedicks, Lai Sang Young

Research output: Contribution to journalArticle

Abstract

We study the quadratic family and show that for a positive measure set of parameters the map has an absolutely continuous invariant measure that is stable under small random perturbations.

Original languageEnglish (US)
Pages (from-to)13-37
Number of pages25
JournalErgodic Theory and Dynamical Systems
Volume12
Issue number1
DOIs
StatePublished - 1992

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Absolutely Continuous Invariant Measure
One-dimensional Maps
Random Perturbation
Small Perturbations
Family

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Absolutely continuous invariant measures and random perturbations for certain one-dimensional maps. / Benedicks, Michael; Young, Lai Sang.

In: Ergodic Theory and Dynamical Systems, Vol. 12, No. 1, 1992, p. 13-37.

Research output: Contribution to journalArticle

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