A Finite Dimensional Linear Programming Approximation of Mather’s Variational Problem
نویسندگان
چکیده
Mather variational principle, introduced by John N. Mather in [18, 19], is an important tool in Lagrangian dynamic. In recent years, several authors have studied this topic in connections with various fields such as weak Kam Theory ([5, 7, 10, 11]), Monge-Kantorovich mass transportation and geometric measure theory ([3, 4, 6, 13, 14]). In this paper we discuss a finite dimensional approximation of Mather variational problem on the flat torus T , following a linear programming interpretation of Mather’s variational principle outlined in [9].
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