Directed polymers on hierarchical lattices with site disorder

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dc.contributor.authorLacoin, Hubert
dc.contributor.authorMoreno, Gregorio
dc.date.accessioned2024-01-10T12:38:22Z
dc.date.available2024-01-10T12:38:22Z
dc.date.issued2010
dc.description.abstractWe study a polymer model oil hierarchical lattices very close to the one introduced and studied in Derrida and Griffith (1989) [19] and Cook and Derrida (1989) [16]. For this model, we prove the existence of free energy and derive the necessary and Sufficient condition for which very strong disorder holds for all beta, and give some accurate results oil the behavior of the free energy at high temperature. We obtain these results by using a combination of fractional moment method and change of Measure over the environment to obtain all upper bound, and a second moment method to get a lower bound. We also get lower bounds oil the fluctuation exponent of log Z(n), and Study the infinite polymer measure in the weak disorder phase. (C) 2009 Elsevier B.V. All rights reserved.
dc.description.funderCNRS
dc.description.funderUMR
dc.description.funderANR
dc.description.funderBeca Conicyt-Ambassade de France
dc.fechaingreso.objetodigital17-04-2024
dc.format.extent27 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.spa.2009.11.008
dc.identifier.eissn1879-209X
dc.identifier.issn0304-4149
dc.identifier.urihttps://doi.org/10.1016/j.spa.2009.11.008
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/77034
dc.identifier.wosidWOS:000275581800005
dc.information.autorucMatemática;Moreno G;S/I;131181
dc.issue.numero4
dc.language.isoen
dc.nota.accesoContenido parcial
dc.pagina.final493
dc.pagina.inicio467
dc.publisherELSEVIER
dc.revistaSTOCHASTIC PROCESSES AND THEIR APPLICATIONS
dc.rightsacceso restringido
dc.subjectHierarchical models
dc.subjectFree energy
dc.subjectDynamical system
dc.subjectDirected polymers
dc.subjectRANDOM ENVIRONMENT
dc.subjectDIFFUSION
dc.subjectPATH
dc.titleDirected polymers on hierarchical lattices with site disorder
dc.typeartículo
dc.volumen120
sipa.codpersvinculados131181
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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