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Hitting probabilities of random covering sets in tori and metric spaces

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Author(s)

  • Esa Järvenpää
  • Maarit Järvenpää
  • Henna Koivusalo
  • Bing Li
  • Ville Suomala
  • Yimin Xiao

Department/unit(s)

Publication details

JournalElectronic Journal of Probability
DateSubmitted - 22 Oct 2015
DateAccepted/In press - 17 May 2016
DateE-pub ahead of print - 5 Jan 2017
DatePublished (current) - 5 Jan 2017
Volume22
Number of pages18
Pages (from-to)1-18
Early online date5/01/17
Original languageEnglish

Abstract

We provide sharp lower and upper bounds for the Hausdorff dimension of the intersection of a typical random covering set with a fixed analytic set both in Ahlfors regular metric spaces and in the $d$-dimensional torus. In metric spaces, we consider covering sets generated by balls and, in the torus, we deal with general analytic generating sets.

Bibliographical note

© 2017, The Author(s).

    Research areas

  • math.PR, math.CA, math.DS

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