Published March 28, 2008 | Version v1
Journal article

On the Hausdorff dimension of the Mather quotient

Description

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.

Abstract

International audience

Additional details

Identifiers

URL
https://hal.archives-ouvertes.fr/hal-00769107
URN
urn:oai:HAL:hal-00769107v1