6 citations · 8 across the 3 of their papers we have counts for
5 papers
Geometric properties of Dirichlet forms under order isomorphisms
Daniel Lenz, Marcel Schmidt, Melchior Wirth
We study pairs of Dirichlet forms related by an intertwining order isomorphisms between the associated -spaces. We consider the measurable, the topological and the geometric s…
Tilings of convex sets by mutually incongruent equilateral triangles contain arbitrarily small tiles
Christian Richter, Melchior Wirth
We show that every tiling of a convex set in the Euclidean plane by equilateral triangles of mutually different sizes contains arbitrarily small tiles. The proof is…
Domination of quadratic forms
Daniel Lenz, Marcel Schmidt, Melchior Wirth
We study domination of quadratic forms in the abstract setting of ordered Hilbert spaces. Our main result gives a characterization in terms of the associated forms. This generalize…
Stability of Kac regularity under domination of quadratic forms
Melchior Wirth
A domain is called Kac regular for a quadratic form on if the closure of all functions vanishing almost everywhere outside a closed subset of the domain coincides with the se…
Uniqueness of form extensions and domination of semigroups
Melchior Wirth
In this article, we study questions of uniqueness of form extension for certain magnetic Schrödinger forms. The method is based on the theory of ordered Hilbert spaces and the conc…