%0 Journal Article
%T On the Hausdorff Dimension of the Mather Quotient
%A Albert Fathi
%A Alessio Figalli
%A Ludovic Rifford
%J Mathematics
%D 2007
%I arXiv
%X 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.
%U http://arxiv.org/abs/0711.1359v1