, Volume 264, Issue 1, pp 255-282
Date: 01 Mar 2006

Nonuniformly Expanding 1D Maps

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Abstract

This paper attempts to make accessible a body of ideas surrounding the following result: Typical families of (possibly multi-model) 1-dimensional maps passing through ``Misiurewicz points'' have invariant densities for positive measure sets of parameters.

Communicated by G. Gallavotti
The research of both authors is partially supported by grant from the NSF