6 citations · 16 across the 11 of their papers we have counts for
4 papers · 1 filter
Note on intrinsic metrics on graphs
Daniel Lenz, Marcel Schmidt, Felix Seifert
We study the set of intrinsic metrics on a given graph. This is a convex compact set and it carries a natural order. We investigate existence of largest elements with respect to th…
Harris' criterion and Hardy inequalites on graphs
Simon Murmann, Marcel Schmidt
In this paper we give a version of Harris' criterion for determining within on discrete spaces. Moreover, we provide a converse via Hardy inequalities involvi…
Recurrent and (strongly) resolvable graphs
Daniel Lenz, Simon Puchert, Marcel Schmidt
We develop a new approach to recurrence and the existence of non-constant harmonic functions on infinite weighted graphs. The approach is based on the capacity of subsets of metric…
Boundary representations of intermediate forms between a regular Dirichlet form and its active main part
Matthias Keller, Daniel Lenz, Marcel Schmidt +2
We characterize all semigroups sandwiched between the semigroup of a Dirichlet form and the semigroup of its active main part. In case the Dirichlet form is regular, we give a more…