Michael Dymond

activity

20132025

most citedDifferentiability inside sets with upper Minkowski dimension one

7 citations · 22 across the 16 of their papers we have counts for

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4 papers · 1 filter

math.MG2021★ 1 cited

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 $ϕ : (0, \infty) \to (0, \infty)$ .…

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.MG2017★ 6 cited

Mapping $n$ grid points onto a square forces an arbitrarily large Lipschitz constant

Michael Dymond, Vojtěch Kaluža, Eva Kopecká

We prove that the regular $n \times n$ square grid of points in the integer lattice $Z^{2}$ cannot be recovered from an arbitrary $n^{2}$ -element subset of $Z^{2}$ …

math.MG2016

Porosity Results for Sets of Strict Contractions on Geodesic Metric Spaces

Christian Bargetz, Michael Dymond, Simeon Reich

We consider a large class of geodesic metric spaces, including Banach spaces, hyperbolic spaces and geodesic $CAT (κ)$ -spaces, and investigate the space of nonexpansive map…

Divergence of separated nets with respect to displacement equivalence

Highly irregular separated nets

Mapping n grid points onto a square forces an arbitrarily large Lipschitz constant

Porosity Results for Sets of Strict Contractions on Geodesic Metric Spaces

Mapping $n$ grid points onto a square forces an arbitrarily large Lipschitz constant