45 citations · 165 across the 23 of their papers we have counts for
4 papers · 1 filter
Closability, regularity, and approximation by graphs for separable bilinear forms
Michael Hinz, Alexander Teplyaev
We consider a countably generated and uniformly closed algebra of bounded functions. We assume that there is a lower semicontinuous, with respect to the supremum norm, quadratic fo…
Densely defined non-closable curl on carpet-like metric measure spaces
Michael Hinz, Alexander Teplyaev
The paper deals with the possibly degenerate behaviour of the exterior derivative operator defined on -forms on metric measure spaces. The main examples we consider are the non…
Finite energy coordinates and vector analysis on fractals
Michael Hinz, Alexander Teplyaev
We consider (locally) energy finite coordinates associated with a strongly local regular Dirichlet form on a metric measure space. We give coordinate formulas for substitutes of ta…
Magnetic fields on resistance spaces
Michael Hinz, Luke Rogers
On a metric measure space that supports a regular, strongly local resistance form we consider a magnetic energy form that corresponds to the magnetic Laplacian for a particle c…