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A local ergodic theorem for non-uniformly hyperbolic symplectic maps with singularities

Published online by Cambridge University Press:  09 July 2012

GIANLUIGI DEL MAGNO  and
ROBERTO MARKARIAN
GIANLUIGI DEL MAGNO
Affiliation:
CEMAPRE, ISEG, Universidade Tecnica de Lisboa, 1200 Lisbon, Portugal (email: [email protected])
ROBERTO MARKARIAN
Affiliation:
Instituto de Matemática y Estadística ‘Prof. Ing. Rafael Laguardia’ (IMERL), Facultad de Ingeniería, Universidad de la República, Montevideo, Uruguay (email: [email protected])
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Abstract

In this paper, we prove a criterion for the local ergodicity of non-uniformly hyperbolic symplectic maps with singularities. Our result is an extension of a theorem of Liverani and Wojtkowski.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 33 , Issue 4 , August 2013 , pp. 983 - 1007
Copyright
Copyright © 2012 Cambridge University Press 

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