%0 Journal Article
%T Brownian Motions on Metric Graphs III - Construction: General Metric Graphs
%A Vadim Kostrykin
%A Jščrgen Potthoff
%A Robert Schrader
%J Mathematics
%D 2010
%I arXiv
%X Consider a metric graph G with set of vertices V. Assume that for every vertex in V one is given a Wentzell boundary condition. It is shown how one can construct the paths of a Brownian motion on G such that its generator - viewed as an operator on the space of continuous functions vanishing at infinity - has a domain consisting of twice continuously differentiable functions satisfying these boundary conditions.
%U http://arxiv.org/abs/1012.0739v2