### Exceptional self-affine sets and projections

Ergodic Theory and Dynamical Systems Seminar

7th August 2023, 2:00 pm – 3:00 pm

Fry Building, 1.11

I will give an informal survey of the various known mechanisms by which a self-affine set can have Hausdorff dimension equal to the value predicted by Falconer's formula, and describe some work in progress on self-affine sets which have exceptional projections in the sense of Marstrand's theorem.

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