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Vertices of Mather’s beta function, II

Published online by Cambridge University Press:  01 August 2009

DANIEL MASSART
DANIEL MASSART*
Affiliation:
Département de Mathématiques, Université Montpellier 2, 34095 Montpellier Cedex 5, France (email: massart@math.univ-montp2.fr)
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Abstract

If the β-function of a time-periodic Lagrangian on a manifold M has a vertex at a k-irrational homology class h, then 2k<dim M, so if dim M=2, then h is rational.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 29 , Issue 4 , August 2009 , pp. 1289 - 1307
Copyright
Copyright © Cambridge University Press 2009

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