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research
On the Hausdorff Dimension of the Mather Quotient
Authors
Albert Fathi
Alessio Figalli
Ludovic Rifford
Publication date
8 November 2007
Publisher
View
on
arXiv
Abstract
Under appropriate assumptions on the dimension of the ambient manifold and the regularity of the Hamiltonian, we show that the Mather quotient is small in term of Hausdorff dimension. Then, we present applications in dynamics
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oai:HAL:hal-00769107v1
Last time updated on 12/11/2016