8 citations · 34 across the 19 of their papers we have counts for
4 papers · 1 filter
Global properties of Dirichlet forms in terms of Green's formula
Sebastian Haeseler, Matthias Keller, Daniel Lenz +2
We study global properties of Dirichlet forms such as uniqueness of the Dirichlet extension, stochastic completeness and recurrence. We characterize these properties by means of va…
Note on uniformly transient graphs
Matthias Keller, Daniel Lenz, Marcel Schmidt +1
We study a special class of graphs with a strong transience feature called uniform transience. We characterize uniform transience via a Feller-type property and via validity of an…
The Ihara Zeta function for infinite graphs
Daniel Lenz, Felix Pogorzelski, Marcel Schmidt
We put forward the concept of measure graphs. These are (possibly uncountable) graphs equipped with an action of a groupoid and a measure invariant under this action. Examples incl…
Diffusion determines the recurrent graph
Matthias Keller, Daniel Lenz, Marcel Schmidt +1
We consider diffusion on discrete measure spaces as encoded by Markovian semigroups arising from weighted graphs. We study whether the graph is uniquely determined if the diffusion…