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dc.contributor.author
Hare, Kathryn E.  
dc.contributor.author
Mendivil, Franklin  
dc.contributor.author
Zuberman, Leandro  
dc.date.available
2022-10-21T12:46:51Z  
dc.date.issued
2020-09  
dc.identifier.citation
Hare, Kathryn E.; Mendivil, Franklin; Zuberman, Leandro; Measures with specified support and arbitrary Assouad dimensions; American Mathematical Society; Proceedings of the American Mathematical Society; 148; 9; 9-2020; 3881-3895  
dc.identifier.issn
0002-9939  
dc.identifier.uri
http://hdl.handle.net/11336/174307  
dc.description.abstract
We show that if the upper Assouad dimension of the compact set E ⊆ R is positive, then given any D > dimA E there is a measure with support E and upper Assouad (or regularity) dimension D. Similarly, given any 0 ≤ d < dimL E, there is a measure on E with lower Assouad dimension d.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
American Mathematical Society  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
UPPER AND LOWER ASSOUAD DIMENSION  
dc.subject
UPPER AND LOWER REGULARITY  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Measures with specified support and arbitrary Assouad dimensions  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2022-09-16T20:45:05Z  
dc.identifier.eissn
1088-6826  
dc.journal.volume
148  
dc.journal.number
9  
dc.journal.pagination
3881-3895  
dc.journal.pais
Estados Unidos  
dc.journal.ciudad
Providence  
dc.description.fil
Fil: Hare, Kathryn E.. University of Waterloo; Canadá  
dc.description.fil
Fil: Mendivil, Franklin. Acadia University; Canadá  
dc.description.fil
Fil: Zuberman, Leandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Cs.exactas y Naturales. Centro Marplatense de Investigaciones Matematicas.; Argentina  
dc.journal.title
Proceedings of the American Mathematical Society  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.ams.org/proc/2020-148-09/S0002-9939-2020-15001-0/  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1090/proc/15001  

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