20 citations · 47 across the 5 of their papers we have counts for
8 papers
Analysis of Dirichlet forms on graphs
Sebastian Haeseler
In this thesis, we study connections between metric and combinatorial graphs from a Dirichlet space point of view.
Diffusion on Delone sets
Sebastian Haeseler, Xueping Huang, Daniel Lenz +1
We consider graphs associated to Delone sets in Euclidean space. Such graphs arise in various ways from tilings. Here, we provide a unified framework. In this context, we study the…
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…
Graphs of finite measure
Agelos Georgakopoulos, Sebastian Haeseler, Matthias Keller +2
We consider weighted graphs with an infinite set of vertices. We show that boundedness of all functions of finite energy can be seen as a notion of `relative compactness' for such…
Volume growth and bounds for the essential spectrum for Dirichlet forms
Sebastian Haeseler, Matthias Keller, Radosław K. Wojciechowski
We consider operators arising from regular Dirichlet forms with vanishing killing term. We give bounds for the bottom of the (essential) spectrum in terms of exponential volume gro…
Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions
Sebastian Haeseler, Matthias Keller, Daniel Lenz +1
We study Laplacians associated to a graph and single out a class of such operators with special regularity properties. In the case of locally finite graphs, this class consists of…