Show simple item record

Vanishing asymptotic Maslov index for conformally symplectic flows

hal.structure.identifierInstitut de Mathématiques de Jussieu - Paris Rive Gauche [IMJ-PRG (UMR_7586)]
dc.contributor.authorArnaud, Marie-Claude
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorFlorio, Anna
HAL ID: 17197
hal.structure.identifierEcole normale supérieure de Lyon [Ens Lyon]
dc.contributor.authorRoos, Valentine
dc.date.accessioned2022-11-07T12:17:12Z
dc.date.available2022-11-07T12:17:12Z
dc.date.issued2022
dc.identifier.urihttps://basepub.dauphine.psl.eu/handle/123456789/23100
dc.language.isoenen
dc.subjectMaslov indexen
dc.subjectConformally symplectic flowsen
dc.subjecttwist conditionen
dc.subject.ddc515en
dc.titleVanishing asymptotic Maslov index for conformally symplectic flowsen
dc.typeDocument de travail / Working paper
dc.description.abstractenMotivated by Mather theory of minimizing measures for symplectic twist dynamics, we study conformally symplectic flows on a cotangent bundle. These dynamics are the most general dynamics for which it makes sense to look at (asymptotic) dynamical Maslov index. Our main result is the existence of invariant measures with vanishing index without any convexity hypothesis, in the general framework of conformally symplectic flows. A degenerate twist-condition hypothesis implies the existence of ergodic invariant measures with zero dynamical Maslov index and thus the existence of points with zero dynamical Maslov index.en
dc.publisher.cityParisen
dc.identifier.citationpages43en
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris Dauphine-PSLen
dc.subject.ddclabelAnalyseen
dc.identifier.citationdate2022
dc.description.ssrncandidatenon
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2022-11-07T12:09:29Z
hal.author.functionaut
hal.author.functionaut
hal.author.functionaut


Files in this item

Thumbnail
Name:
MaslovLagrange-22-11.pdf
Size:
581.3Kb
Format:
PDF
View/Open

This item appears in the following Collection(s)

Show simple item record