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

Michael Benedicks; Lai Sang Young

doi:10.1017/S0143385700006556

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

Michael Benedicks, Lai Sang Young

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	13-37
Number of pages	25
Journal	Ergodic Theory and Dynamical Systems
Volume	12
Issue number	1
DOIs	https://doi.org/10.1017/S0143385700006556
State	Published - Mar 1992

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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title = "Absolutely continuous invariant measures and random perturbations for certain one-dimensional maps",

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.",

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

Abstract

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