Hausdorff dimension of limsup sets of rectangles in the Heisenberg group

• Fredrik Ekström ^[1] ; Esa Järvenpää ^[2] ; Maarit Järvenpää ^[2]
  1. [1] University of Gothenburg
  2. [2] University of Oulu (Finlandia)
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 126, Nº 2, 2020, págs. 229-255
• Idioma: inglés
• DOI: 10.7146/math.scand.a-119234
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• Resumen

  • The almost sure value of the Hausdorff dimension of limsup sets generated by randomly distributed rectangles in the Heisenberg group is computed in terms of directed singular value functions.