Title:
Brownian motions on metric graphs
Author(s):
Kostrykin, Vadim; Potthoff, Jürgen; Schrader, Robert
Year of publication:
2012
Available Date:
2014-03-04T12:09:17.991Z
Abstract:
Brownian motions on a metric graph are defined. Their generators are
characterized as Laplace operators subject to Wentzell boundary at every
vertex. Conversely, given a set of Wentzell boundary conditions at the
vertices of a metric graph, a Brownian motion is constructed pathwise on this
graph so that its generator satisfies the given boundary conditions.
Part of Identifier:
ISSN (print): 00222488
DDC-Classification:
530 Physik
Publication Type:
Wissenschaftlicher Artikel
Also published in:
Journal of Mathematical Physics. - 53 (2012), 9, Artikel Nr. 095206/1-16
URL of the Original Publication:
DOI of the Original Publication:
Department/institution:
Physik
Institut für Theoretische Physik
Comments:
Der Artikel wurde in einer Open-Access-Zeitschrift publiziert.