Calculus of Variations and Geometric Measure Theory

A. Fathi - A. Figalli - L. Rifford

On the Hausdorff Dimension of the Mather Quotient

created by figalli on 29 Feb 2008
modified on 09 Aug 2024

[BibTeX]

Published Paper

Inserted: 29 feb 2008
Last Updated: 9 aug 2024

Journal: Comm. Pure Appl. Math.
Year: 2009

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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