On the Hausdorff Dimension of the Mather Quotient
Dynamical Systems
2007-11-12 v1
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.
Keywords
Cite
@article{arxiv.0711.1359,
title = {On the Hausdorff Dimension of the Mather Quotient},
author = {Albert Fathi and Alessio Figalli and Ludovic Rifford},
journal= {arXiv preprint arXiv:0711.1359},
year = {2007}
}