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Hausdorff dimension of limsup sets

Tomas Persson
(Lunds Universitet)
Analysis Seminar
Thursday, 26 January, 2017, at 16:15-17:15, in Aud. D3 (1531-215)
Abstract:

I will talk about how to calculate, or at least estimate,  the Hausdorff dimension of a limsup set. Given a sequence of sets, the  limsup set is the set of points that are contained in infinitely many  of the sets in the sequence. Sets of this type appear for instance in  metric number theory. I will concentrate however on what can be said  if the limsup set is generated in a random way, which is a joint work  with F. Ekström.

Contact person: Simon Kristensen