TY  - JOUR
A1  - Keller, Matthias
A1  - Lenz, Daniel
A1  - Schmidt, Marcel
A1  - Schwarz, Michael
T1  - Boundary representation of Dirichlet forms on discrete spaces
JF  - Journal de Mathématiques Pures et Appliquées
N2  - 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 methods. (C) 2018 Elsevier Masson SAS.
KW  - Dirichlet form
KW  - Royden boundary
KW  - Infinite graph
KW  - Harmonic measure
KW  - Trace Dirichlet form
Y1  - 2019
U6  - https://doi.org/10.1016/j.matpur.2018.10.005
SN  - 0021-7824
SN  - 1776-3371
VL  - 126
SP  - 109
EP  - 143
PB  - Elsevier
CY  - Amsterdam
ER  - 
TY  - JOUR
A1  - Keller, Matthias
A1  - Lenz, Daniel
A1  - Münch, Florentin
A1  - Schmidt, Marcel
A1  - Telcs, Andras
T1  - Note on short-time behavior of semigroups associated to self-adjoint operators
JF  - Bulletin of the London Mathematical Society
N2  - We present a simple observation showing that the heat kernel on a locally finite graph behaves for short times t roughly like t(d), where d is the combinatorial distance. This is very different from the classical Varadhan-type behavior on manifolds. Moreover, this also gives that short-time behavior and global behavior of the heat kernel are governed by two different metrics whenever the degree of the graph is not uniformly bounded.
Y1  - 2016
U6  - https://doi.org/10.1112/blms/bdw054
SN  - 0024-6093
SN  - 1469-2120
VL  - 48
SP  - 935
EP  - 944
PB  - Oxford Univ. Press
CY  - Oxford
ER  -