Publicación:
LOGARITHMIC EXPANSION, ENTROPY, AND DIMENSION FOR SET-VALUED MAPS

dc.creatorDANTE CARRASCO OLIVERA
dc.date2020
dc.date.accessioned2025-01-10T15:19:06Z
dc.date.available2025-01-10T15:19:06Z
dc.date.issued2020
dc.description.abstractWE OBTAIN A LOWER BOUND FOR THE ENTROPY OF A (NOT NECESSARILY INVARIANT) BOREL PROBABILITY MEASURE WITH RESPECT TO AN UPPER SEMICONTINUOUS SET-VALUED MAP AS THE PRODUCT OF THE LOWER DIMENSION OF THE MEASURE AND THE LOGARITHMIC EXPANSION RATE. THIS IS A GENERALIZATION OF THE WELL-KNOWN MEASURE-PRESERVING SINGLE-VALUED CASE.
dc.formatapplication/pdf
dc.identifier.doi10.36535/0233-6723-2020-178-31-40
dc.identifier.issn0233-6723
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/11444
dc.languagespa
dc.publisherITOGI NAUKI I TEKHNIKI. SER. SOVREM. MAT. PRIL. TEMAT. OBZ.
dc.relation.uri10.36535/0233-6723-2020-178-31-40
dc.rightsPUBLICADA
dc.subjectWe obtain a lower bound for the entropy of a (not necessarily invariant) Borel probability measure with respect to an upper semicontinuous set-valued map as the product of the lower dimension of the measure and the logarithmic expansion rate. This is
dc.titleLOGARITHMIC EXPANSION, ENTROPY, AND DIMENSION FOR SET-VALUED MAPS
dc.title.alternativeEXPANSIÓN LOGARÍTMICA, ENTROPÍA Y DIMENSIÓN PARA MAPAS CON VALORES ESTABLECIDOS
dc.typeARTÍCULO
dspace.entity.typePublication
oaire.fundingReferenceANID- AGENCIA NACIONAL DE INVESTIGACIÓN Y DESARROLLO (EX CONICYT)
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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