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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Showing 2020Show all

2 papers · 1 filter

math.FA2020

Lipschitz constant $lo g n$ almost surely suffices for mapping $n$ grid points onto a cube

Michael Dymond

Kaluža, Kopecká and the author have shown that the best Lipschitz constant for mappings taking a given $n^{d}$ -element set in the integer lattice $Z^{d}$ , with $n\in \math…

math.FA2020

On the existence of fixed points for typical nonexpansive mappings on spaces with positive curvature

Christian Bargetz, Michael Dymond, Emir Medjic +1

We show that the typical nonexpansive mapping on a small enough subset of a CAT( $κ$ )-space is a contraction in the sense of Rakotch. By typical we mean that the set of nonexpansive…

Lipschitz constant logn almost surely suffices for mapping n grid points onto a cube

On the existence of fixed points for typical nonexpansive mappings on spaces with positive curvature

Lipschitz constant $lo g n$ almost surely suffices for mapping $n$ grid points onto a cube