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.References
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Additional Information
- Diogo Gomes
- Affiliation: Departamento de Matemática and CAMGSD, Instituto Superior Técnico, Lisboa, Portugal
- MR Author ID: 638220
- Email: dgomes@math.ist.utl.pt
- Renato Iturriaga
- Affiliation: Centro de Investigación en Matemáticas, Guanajuato, México
- MR Author ID: 606377
- Email: renato@cimat.mx
- Héctor Sánchez-Morgado
- Affiliation: Instituto de Matemáticas, Universidad Nacional Autónoma de México, México DF 04510, México
- MR Author ID: 340702
- ORCID: 0000-0003-3981-408X
- Email: hector@matem.unam.mx
- Yifeng Yu
- Affiliation: Department of mathematics, University of California at Irvine, Irvine, California 92697
- Email: yyu1@math.uci.edu
- Received by editor(s): September 29, 2009
- Received by editor(s) in revised form: December 31, 2009
- Published electronically: April 27, 2010
- Additional Notes: The first author was partially supported by the CAMGSD/IST through the FCT Program POCTI/FEDER and by grants DENO/FCT-PT (PTDC/EEA-ACR/67020/2006 and UTAustin/MAT/0057/2008
The second author was partially supported by Conacyt grant 83739
The fourth author was partially supported by NSF grants D0848378 and D0901460 - Communicated by: Yingfei Yi
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 3591-3601
- MSC (2010): Primary 37J20, 35J70, 37J50
- DOI: https://doi.org/10.1090/S0002-9939-10-10361-X
- MathSciNet review: 2661558