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dc.contributor.author
Käenmäki, Antti
dc.contributor.author
Sahlsten, Tuomas
dc.contributor.author
Shmerkin, Pablo Sebastian
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dc.date.available
2018-03-12T20:25:34Z
dc.date.issued
2015-03
dc.identifier.citation
Käenmäki, Antti; Sahlsten, Tuomas; Shmerkin, Pablo Sebastian; Dynamics of the scenery flow and geometry of measures; London Mathematical Society; Proceedings of the London Mathematical Society; 110; 5; 3-2015; 1248-1280
dc.identifier.issn
0024-6115
dc.identifier.uri
http://hdl.handle.net/11336/38583
dc.description.abstract
We employ the ergodic-theoretic machinery of scenery flows to address classical geometric measure-theoretic problems on Euclidean spaces. Our main results include a sharp version of the conical density theorem, which we show to be closely linked to rectifiability. Moreover, we show that the dimension theory of measure-theoretical porosity can be reduced back to its settheoretic version, that Hausdorff and packing dimensions yield the same maximal dimension for porous and even mean porous measures, and that extremal measures exist and can be chosen to satisfy a generalized notion of self-similarity. These are sharp general formulations of phenomena that had been earlier found to hold in a number of special cases.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
London Mathematical Society
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.subject
Scenery Flow
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Fractal Distributions
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Dimension
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Recitfiability
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Porosity
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Conical Densities
dc.subject.classification
Matemática Pura
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dc.subject.classification
Matemáticas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Dynamics of the scenery flow and geometry of measures
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-03-08T19:02:37Z
dc.journal.volume
110
dc.journal.number
5
dc.journal.pagination
1248-1280
dc.journal.pais
Reino Unido
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dc.journal.ciudad
Londres
dc.description.fil
Fil: Käenmäki, Antti. Universidad de Jyvaskyla; Finlandia
dc.description.fil
Fil: Sahlsten, Tuomas. The Hebrew University of Jerusalem; Israel
dc.description.fil
Fil: Shmerkin, Pablo Sebastian. Universidad Torcuato Di Tella. Departamento de Matemáticas y Estadística; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title
Proceedings of the London Mathematical Society
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://onlinelibrary.wiley.com/doi/10.1112/plms/pdv003/abstract
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1112/plms/pdv003
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1401.0231
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