First return map and invariant measures

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1980 Italy English Publisher:Springer Science and Business Media LLCJournal:Israel Journal of Mathematics, volume 35, pages 32-48 (issn: 0021-2172, eissn: 1565-8511,

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Authors: PIANIGIANI, GIULIO;

doi: 10.1007/bf02760937

handle: 2158/309888

First return map and invariant measures

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Abstract

We give sufficient conditions for the existence of absolutely continuous invariant measures, finite or σ-finite, for maps on the interval. We givea priori bound for the number of different ergodic measures. The results are obtained via the first return map.

Country

Italy

Related Organizations

University of Florence
Italy
New York University
Italy

Keywords

first return map, non-uniformly expanding maps, Set functions and measures on topological groups or semigroups, Haar measures, invariant measures, Measure-preserving transformations, absolutely continuous invariant measures

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