On the Hausdorff Dimension of the Mather Quotient

Details On the Hausdorff Dimension of the Mather Quotient On the Hausdorff Dimension of the Mather Quotient

2007-11-08

arxiv.org/abs/0711.1359v1

Mathematics

Dynamical Systems

Scientific paper

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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