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math.AP2023
Cantor sets with absolutely continuous harmonic measure
Guy David, Cole Jeznach, Antoine Julia
We construct Ahlfors regular Cantor sets of small dimension in the plane, such that the Hausdorff measure on is equivalent to the harmonic measure associated to its complem…
math.MG2023
A non-injective Assouad-type theorem with sharp dimension
Guy C. David
Lipschitz light maps, defined by Cheeger and Kleiner, are a class of non-injective "foldings" between metric spaces that preserve some geometric information. We prove that if a met…