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

1 March 1992

journal article
research article
Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems

Vol. 12 (1) , 13-37
https://doi.org/10.1017/s0143385700006556

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.

Keywords

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