Pressure, Poincare series and box dimension of the boundary

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dc.contributor.authorIommi, Godofredo
dc.contributor.authorVelozo, Anibal
dc.date.accessioned2024-01-10T12:37:02Z
dc.date.available2024-01-10T12:37:02Z
dc.date.issued2021
dc.description.abstractIn this note we prove two related results. First, we show that for certain Markov interval maps with infinitely many branches the upper box dimension of the boundary can be read from the pressure of the geometric potential. Secondly, we prove that the box dimension of the set of iterates of a point in partial differential Hn <i with respect to a parabolic subgroup of isometries equals the critical exponent of the Poincare series of the associated group. This establishes a relationship between the entropy at infinity and dimension theory.
dc.description.funderCONICYT
dc.description.funderProyecto Fondecyt
dc.fechaingreso.objetodigital2024-04-26
dc.format.extent17 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1088/1361-6544/abfecf
dc.identifier.eissn1361-6544
dc.identifier.issn0951-7715
dc.identifier.urihttps://doi.org/10.1088/1361-6544/abfecf
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/76732
dc.identifier.wosidWOS:000664746300001
dc.information.autorucFacultad de Matemáticas; Iommi Echeverria, Godofredo; 0000-0001-6967-7894; 93503
dc.issue.numero6
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final3952
dc.pagina.inicio3936
dc.publisherIOP PUBLISHING LTD
dc.revistaNONLINEARITY
dc.rightsacceso restringido
dc.subjectdimension theory
dc.subjectboundary of hyperbolic space
dc.subjectuniformly expanding Markov maps
dc.subjectMULTIFRACTAL ANALYSIS
dc.subjectGIBBS MEASURES
dc.subjectFINITENESS
dc.subjectMANIFOLDS
dc.subjectENTROPY
dc.titlePressure, Poincare series and box dimension of the boundary
dc.typeartículo
dc.volumen34
sipa.codpersvinculados93503
sipa.indexWOS
sipa.trazabilidadCarga SIPA;09-01-2024
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