7 citations · 22 across the 16 of their papers we have counts for
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math.FA2019★ 2 cited
A dichotomy of sets via typical differentiability
Michael Dymond, Olga Maleva
We obtain a criterion for an analytic subset of a Euclidean space to contain points of differentiability of a typical Lipschitz function, namely, that it cannot be covered by count…
math.MG2019
Highly irregular separated nets
Michael Dymond, Vojtěch Kaluža
In 1998 Burago and Kleiner and (independently) McMullen gave examples of separated nets in Euclidean space which are non-bilipschitz equivalent to the integer lattice. We study wea…
math.FA2019
Typical differentiability within an exceptionally small set
Michael Dymond
We verify the existence of a purely unrectifiable set in which the typical Lipschitz function has a large set of full differentiability points. The example arises from a constructi…