Buscar
Mostrando ítems 1-3 de 3
Artículo
Furstenberg sets for a fractal set of directions
(American Mathematical Society, 2012-08)
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 ⊂ R2 is an Fαβ-set if there is a subset ...
Artículo
Improving dimension estimates for Furstenberg-type sets
(Elsevier, 2010-01-30)
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 ...
Artículo
Small Furstenberg sets
(Elsevier, 2013-04-15)
For α in (0, 1], a subset E of R2 is called Furstenberg set of type α or Fα-set if for each direction e in the unit circle there is a line segment `e in the direction of e such that the Hausdorff dimension of the set E ∩`e ...