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Lyapunov functions : a weak KAM approach
This thesis is divided into three parts. In the first part, we give a new description of chain-recurrence using an ultrametric barrier. This barrier allows to endow... -
On Aubry sets and Mather's action functional
International audience -
On the dynamics of WKB wave functions whose phase are weak KAM solutions of H...
International audience -
Weak KAM theory and instability for families of Hamiltonians
In this thesis we study the dynamics generated by a family of Hamiltonian flows. Such a dynamical system with several generators is also called ‘polysystem’.Motivated...
