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math.AP2009★ 10 cited
Weak KAM for commuting Hamiltonians
Maxime Zavidovique
For two commuting Tonelli Hamiltonians, we recover the commutation of the Lax-Oleinik semi-groups, a result of Barles and Tourin ([BT01]), using a direct geometrical method (Stoke'…
math.DS2009
Strict sub-solutions and Mañe potential in discrete weak KAM theory
Maxime Zavidovique
In this paper, we explain some facts on the discrete case of weak KAM theory. In that setting, the Lagrangian is replaced by a cost , on a "reasonable"…