The Assouad spectrum of Gatzouras-Lalley carpets
Ergodic Theory and Dynamical Systems Seminar
8th January 2024, 4:00 pm – 5:00 pm
Fry Building, G.07
Gatzouras-Lalley carpets are a well-studied family of self-affine sets in the plane with various interesting geometric features. Mackay (Bristol) derived a formula for the Assouad dimension of such carpets back in 2011. I will discuss recent joint work with Amlan Banaji, Istvan Kolossvary and Alex Rutar, where we investigate finer Assouad-themed notions of dimension and unearth some novel and surprising features.
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