University of Birmingham > Talks@bham > Topology and Dynamics seminar > Dimensions of random cookie-cutter-like sets

Dimensions of random cookie-cutter-like sets

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  • UserWafa Ben Saad (Universität Bremen)
  • ClockThursday 10 March 2022, 15:00-16:00
  • HouseZoom.

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

The random cookie-cutter-like sets are defined as the limit sets of a sequence of random cookie cutter mappings. By introducing the weak Gibbs-like measures, we study the fractal dimensions of these random sets and show that the Hausdorff dimension, the packing dimension and the box-counting dimension coincide and are almost surely equal to the unique zero of the topological pressure function.

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

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