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ListarAnálisis Matemático por materia "Hausdorff dimension"

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      Furstenberg sets for a fractal set of directions 

      Molter, Úrsula María; Rela, Ezequiel (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 ...
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      Hausdorff and Box dimensions of continuous functions and lineability 

      Bonilla Ramírez, Antonio Lorenzo; Muñoz Fernández, Gustavo Adolfo; Prado Bassas, José Antonio; Seoane Sepúlveda, Juan Benigno (Taylor & Francis, 2019-05)
      Given s ∈ (1, 2], we study (among other questions) the algebraic genericity of the set of continuous functions f : [0, 1] → R whose graph has Hausdorff (or Box) dimension exactly s.
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      Improving dimension estimates for Furstenberg-type sets 

      Molter, Úrsula María; Rela, Ezequiel (Elsevier, 2010-01-30)
      In this paper we study the problem of estimating the generalized Hausdorff dimension of Furstenberg sets in the plane. For ...
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      Refined size estimates for Furstenberg sets via Hausdorff measures: a survey of some recent results 

      Rela, Ezequiel (Springer, 2014)
      In this survey we collect and discuss some recent results on the so called “Furstenberg set problem”, which in its classical ...
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      Small Furstenberg sets 

      Molter, Úrsula María; Rela, Ezequiel (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 ...