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Low dimensional geometric dynamics

Convergence of the discounted Hamilton Jacobi equation: discrete version.

speaker: Renato Iturriaga (CIMAT, Guanajuato)

abstract: We prove the convergence of solutions of a discounted problem in the discrete version, where we substitute the Lagrangian by a cost function. Minimization of the action of curves is replaced by minimization of cost for sequences, and the Hamilton{Jacobi equation by fixed points of the Lax Oleinik semigroup. This theory is known as Discrete Aubry-Mather Theory.

timetable:
Thu 23 Apr, 16:30 - 17:30, Aula Dini
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