Mather measures selected by an approximation scheme
Diogo A. Gomes, Renato Iturriaga, Héctor Sánchez-Morgado, Yifeng Yu · Proceedings of the American Mathematical Society · 2010
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.