Mather measures selected by an approximation scheme

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

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

Mather measures selected by an approximation scheme

Gomes Diogo^*, Renato Iturriaga, Héctor Sánchez-Morgado, Yifeng Yu

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

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.

Original language	English (US)
Pages (from-to)	3591-3601
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	138
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9939-10-10361-X
State	Published - Oct 2010
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-10-10361-X

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title = "Mather measures selected by an approximation scheme",

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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AU - Yu, Yifeng

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N2 - 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.

AB - 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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U2 - 10.1090/S0002-9939-10-10361-X

DO - 10.1090/S0002-9939-10-10361-X

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JO - Proceedings of the American Mathematical Society

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Mather measures selected by an approximation scheme

Abstract

ASJC Scopus subject areas

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