%0 Journal Article
%T Differentiability of Mather's beta function in low dimensions
%A Daniel Massart
%J Mathematics
%D 2009
%I arXiv
%X Let L be a time-periodic Lagrangian on a two-torus. Then the beta-function of L is differentiable at least in k directions at any k-irrational homology class, for k= 0, 1, 2.
%U http://arxiv.org/abs/0909.3371v3