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Classification of discrete weak KAM solutions on linearly repetitive quasi-periodic sets

hal.structure.identifierInstituto de Matemática, Estatística e Computação Científica [Brésil] [IMECC]
dc.contributor.authorGARIBALDI, Eduardo
hal.structure.identifierLaboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352 UPJV [LAMFA]
dc.contributor.authorPETITE, Samuel
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorTHIEULLEN, Philippe
dc.date.accessioned2024-04-04T02:33:25Z
dc.date.available2024-04-04T02:33:25Z
dc.date.issued2023-08-24
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190477
dc.description.abstractEnIn discrete schemes, weak KAM solutions may be interpreted as approximations of correctors for some Hamilton-Jacobi equations in the periodic setting. It is known that correctors may not exist in the almost periodic setting. We show the existence of discrete weak KAM solutions for non-degenerate and weakly twist interactions in general. Furthermore, assuming equivariance with respect to a linearly repetitive quasi-periodic set, we completely classify all possible types of weak KAM solutions.
dc.description.sponsorshipA l'intérieur de l'entropie nulle - ANR-22-CE40-0011
dc.language.isoen
dc.title.enClassification of discrete weak KAM solutions on linearly repetitive quasi-periodic sets
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]
dc.identifier.arxiv2308.13058
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-04189059
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-04189059v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2023-08-24&rft.au=GARIBALDI,%20Eduardo&PETITE,%20Samuel&THIEULLEN,%20Philippe&rft.genre=preprint


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