The cohomological equation over dynamical systems arising from Delone sets

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dc.contributor.authorCoronel, Daniel
dc.date.accessioned2024-01-10T14:21:55Z
dc.date.available2024-01-10T14:21:55Z
dc.date.issued2011
dc.description.abstractThe hull Omega of an aperiodic repetitive Delone set P in R(d) is a compact metric space on which R(d) acts continuously by translation. Let G be R(m) or T(m) and alpha be a continuous G-cocycle over the dynamical system (Omega, R(d)). In this paper we study conditions under which the cohomological equation alpha(omega, x) = psi(omega - x) - psi has continuous solutions. We give a sufficient condition for general continuous G-cocycles and a necessary condition for transversally locally constant G-cocycles. These conditions are given in terms of the set of first return vectors associated with a tower system for Omega. For linearly repetitive Delone sets we give a necessary and sufficient condition for solving the cohomological equation in the class of transversally Holder G-cocycles.
dc.description.funderFONDECYT
dc.description.funderAgence National de la Recherche
dc.description.funderNucleus Millennium Information and Randomness
dc.fechaingreso.objetodigital2024-04-25
dc.format.extent27 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1017/S0143385710000209
dc.identifier.issn0143-3857
dc.identifier.urihttps://doi.org/10.1017/S0143385710000209
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/79818
dc.identifier.wosidWOS:000291144500008
dc.information.autorucMatemática;Coronel A ;S/I;1007840
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final833
dc.pagina.inicio807
dc.publisherCAMBRIDGE UNIV PRESS
dc.revistaERGODIC THEORY AND DYNAMICAL SYSTEMS
dc.rightsacceso restringido
dc.subjectPATTERN-EQUIVARIANT FUNCTIONS
dc.subjectTILING SPACES
dc.subjectCANTOR SYSTEMS
dc.subjectDEFORMATIONS
dc.subjectMATTERS
dc.subject.ods09 Industry, innovation and infrastructure
dc.subject.odspa09 Industria, innovación e infraestructura
dc.titleThe cohomological equation over dynamical systems arising from Delone sets
dc.typeartículo
dc.volumen31
sipa.codpersvinculados1007840
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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