Furstenberg sets for a fractal set of directions

In this paper we study the behavior of the size of Furstenberg sets with respect to the size of the set of directions defining it. For any pair α, β ∈ (0, 1], we will say that a set E⊂ℝ 2 is an F αβ-set if there is a subset L of the unit circle of Hausdorff dimension at least β and, for each directi...

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Detalles Bibliográficos
Autores principales: Molter, Ursula Maria, Rela, Ezequiel
Publicado: 2012
Materias:
Dimension function
Furstenberg sets
Hausdorff dimension
Kakeya sets
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v140_n8_p2753_Molter
http://hdl.handle.net/20.500.12110/paper_00029939_v140_n8_p2753_Molter
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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