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Measure of minimal sets of polymodal maps

Published online by Cambridge University Press:  19 September 2008

E. Vargas
E. Vargas
Affiliation:
Department of Mathematics, IME-USP, cidade universitaria ‘Armando de Salles Oliveira’ caixa postal 66281, 05389-970 São, Paulo-Brazil
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Abstract

We consider a C2 non-renormalizable polymodal map with finitely many non-flat critical points of turning type and we prove that any minimal set of f has zero Lebesgue measure.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 16 , Issue 1 , February 1996 , pp. 159 - 178
Copyright
Copyright © Cambridge University Press 1996

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