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dc.contributor.author
Garcia, Ignacio Andres  
dc.contributor.author
Hare, Kathryn  
dc.date.available
2022-12-26T11:26:38Z  
dc.date.issued
2021-06  
dc.identifier.citation
Garcia, Ignacio Andres; Hare, Kathryn; Properties of quasi-Assouad dimension; Finnish Mathematical Society; Annales Fennici Mathematici; 46; 1; 6-2021; 279-293  
dc.identifier.issn
2737-0690  
dc.identifier.uri
http://hdl.handle.net/11336/182284  
dc.description.abstract
The connections between quasi-Assouad dimension and tangents are studied. We apply these results to the calculation of the quasi-Assouad dimension for a class of planar selfaffine sets. We also show that sets with decreasing gaps have quasi-Assouad dimension 0 or 1 and exhibit an example of a set in the plane whose quasi-Assouad dimension is smaller than that of its projection onto the x-axis, showing that quasi-Assouad dimension may increase under Lipschitz mappings. Moreover, for closed sets, we show that the Hausdorff dimension is an upper bound for the quasi-lower Assouad dimension  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Finnish Mathematical Society  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc/2.5/ar/  
dc.subject
ASSOUAD DIMENSION  
dc.subject
ORTHOGONAL PROJECTIONS  
dc.subject
WEAK TANGENTS  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Properties of quasi-Assouad dimension  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2022-09-20T15:47:38Z  
dc.identifier.eissn
2737-114X  
dc.journal.volume
46  
dc.journal.number
1  
dc.journal.pagination
279-293  
dc.journal.pais
Finlandia  
dc.journal.ciudad
Helsinki  
dc.description.fil
Fil: Garcia, Ignacio Andres. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Cs.exactas y Naturales. Centro Marplatense de Investigaciones Matematicas.; Argentina  
dc.description.fil
Fil: Hare, Kathryn. University of Waterloo; Canadá  
dc.journal.title
Annales Fennici Mathematici  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://afm.journal.fi/article/view/109582  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.5186/aasfm.2021.4618  

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