6 citations · 8 across the 7 of their papers we have counts for
5 papers · 1 filter
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…
Planar Bilipschitz Extension from Separated Nets
Michael Dymond, Vojtěch Kaluža
We prove that every -bilipschitz mapping can be extended to a -bilipschitz mapping and provide a polynomial upp…
Divergence of separated nets with respect to displacement equivalence
Michael Dymond, Vojtěch Kaluža
We introduce a hierachy of equivalence relations on the set of separated nets of a given Euclidean space, indexed by concave increasing functions .…
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…
Mapping grid points onto a square forces an arbitrarily large Lipschitz constant
Michael Dymond, Vojtěch Kaluža, Eva Kopecká
We prove that the regular square grid of points in the integer lattice cannot be recovered from an arbitrary -element subset of …