On the Hausdorff dimension of the mather quotient
By A. Fathi, Ludovic Rifford, Alessio Figalli. 2007
54 citations recorded by the source corpus.
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 the Hausdorff dimension. Then we present applications in dynamics. © 2008 Wiley Periodicals, Inc.
Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/29752bff4cd48481957668bd139080bf33f834ae
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In Geometry and Topology
In Mathematical Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- On Viscosity Solutions of Certain Hamilton–Jacobi Equations: Regularity Results and Generalized Sard's Theorems (2008, background): “( submitted ) to prove specific results related to generalized Sard's theorems in the context of weak KAM theory.”