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math.SP2025
Quasi-unitary equivalence and generalised norm resolvent convergence
Olaf Post, Jan Simmer
The purpose of this article is to give a short introduction to the concept of quasi-unitary equivalence of quadratic forms and its consequences. In particular, we improve an estima…
math.SP2018★ 3 cited
Approximation of fractals by manifolds and other graph-like spaces
Olaf Post, Jan Simmer
We define a distance between energy forms on a graph-like metric measure space and on a discrete weighted graph using the concept of quasi-unitary equivalence. We apply this result…
math.SP2017★ 2 cited
Approximation of fractals by discrete graphs: norm resolvent and spectral convergence
Olaf Post, Jan Simmer
We show a norm convergence result for the Laplacian on a class of post-critically finite fractals with arbitrary Borel regular probability measure which can be approximated by a se…