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ListarArtículos (Análisis 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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      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 ...