40 citations · 115 across the 27 of their papers we have counts for
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Combinatorics of the subshift associated to Grigorchuk's group
Rostislav Grigorchuk, Daniel Lenz, Tatiana Nagnibeda
We study combinatorial properties of the subshift induced by the substitution that describes Lysenok's presentation of Grigorchuk's group of intermediate growth by generators and r…
Boundary representation of Dirichlet forms on discrete spaces
Matthias Keller, Daniel Lenz, Marcel Schmidt +1
We describe the set of all Dirichlet forms associated to a given infinite graph in terms of Dirichlet forms on its Royden boundary. Our approach is purely analytical and uses form…
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…
On the decomposition principle and a Persson type theorem for general regular Dirichlet forms
Daniel Lenz, Peter Stollmann
We present a decomposition principle for general regular Dirichlet forms satisfying a spatial local compactness condition. We use the decomposition principle to derive a Persson ty…