University of Birmingham > Talks@bham > Topology and Dynamics seminar > Counting asymptotics for fractals and renewal theory

Counting asymptotics for fractals and renewal theory

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  • UserSabrina Kombrink (University of Birmingham)
  • ClockThursday 29 April 2021, 15:00-16:00
  • HouseZoom.

If you have a question about this talk, please contact David Craven.

We discuss several counting and geometric problems for fractals sets, which we will transform into a form to which newly developed renewal theory can be applied. Problems that we consider include counting the number of complementary intervals of restricted continued fraction digit sets exceeding a given length, counting the number of radii of circles in an Apollonian packing that exceed a given value, and determining the behaviour of the volume of the ε-parallel set of a fractal as ε tends to zero.

This talk is part of the Topology and Dynamics seminar series.

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