Recurrence rates for shifts of finite type

  • 14 December 2022
  • 1600-1700
  • SCH0.13

Simon Baker (Loughborough)

In this talk I will discuss rates of recurrence for Bernoulli measures defined on the full shift (more generally Gibbs measures defined on shifts of finite type). Our main result establishes a new critical threshold where the measure of the set of points satisfying a recurrence rate transitions from 0 to 1. This fact is an interesting consequence of the law of the iterated logarithm. This talk is based upon a joint work with Demi Allen and Balazs Barany.

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