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math.MG2025
Extending Bilipschitz Mappings between Separated Nets
Michael Dymond, Vojtěch Kaluža
We provide a new characterisation of the decades old open problem of extending bilipschitz mappings given on a Euclidean separated net. In particular, this allows for the complete…
math.MG2025
Fast repetitivity in non-rectifiable Delone sets
Ashwin Bhat, Michael Dymond
We present a construction of non-rectifiable, repetitive Delone sets in every Euclidean space with . We further obtain a close to optimal repetitivity func…