Mather measures selected by an approximation scheme

Gomes, Diogo; Iturriaga, Renato; Sánchez-Morgado, Héctor; Yu, Yifeng

doi:10.1090/S0002-9939-10-10361-X

Mather measures selected by an approximation scheme
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by Diogo Gomes, Renato Iturriaga, Héctor Sánchez-Morgado and Yifeng Yu PDF

Proc. Amer. Math. Soc. 138 (2010), 3591-3601 Request permission

Abstract:

In this note, we will identify Mather measures selected by Evans’s variational approach in 1-d. Motivated by the low dimension case, we conjecture that Evans’s approximation scheme might catch the whole Mather set in all dimensions. We also discuss the connection with another approximation scheme in the works of Anantharaman, Evans and Gomes.

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