Improving dimension estimates for Furstenberg-type sets

In this paper we study the problem of estimating the generalized Hausdorff dimension of Furstenberg sets in the plane. For α ∈ (0, 1], a set F in the plane is said to be an α-Furstenberg set if for each direction e there is a line segment ℓe in the direction of e for which dimH (ℓe ∩ F) ≥ α. It is w...

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Detalles Bibliográficos
Autores principales: Molter, Ursula Maria, Rela, Ezequiel
Publicado: 2010
Materias:
Dimension function
Furstenberg sets
Hausdorff dimension
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00018708_v223_n2_p672_Molter
http://hdl.handle.net/20.500.12110/paper_00018708_v223_n2_p672_Molter
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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