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Absolutely continuous invariant probability measures for arbitrary expanding piecewise $\mathbb{R}$-analytic mappings of the plane

Published online by Cambridge University Press:  01 June 2000

JÉRÔME BUZZI
Affiliation:
Centre de Mathématiques, Ecole Polytechnique, 91128 Palaiseau Cedex, France (e-mail: buzzi@math.polytechnique.fr)

Abstract

We prove that any expanding piecewise real-analytic map of a bounded region of the plane admits absolutely continuous invariant probability measures.

Type
Research Article
Copyright
2000 Cambridge University Press

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