Can I read Brownian motion on R trees on EtoBox?

Brownian motion on R trees by Athreya, Siva; Eckhoff, Michael; Winter, Anita is a scholarly article available to read on EtoBox.

What is Brownian motion on R trees about?

The real trees form a class of metric spaces that extends the class of trees with edge lengths by allowing behavior such as infinite total edge length and vertices with infinite branching degree. We use Dirichlet form methods to construct Brownian motion on any given locally compact $R$-tree {$(T,r)$} equipped with a Radon measure $\nu$ {on $(T,{\mathcal B}(T))$}. We specify a criterion under which the Brownian motion is recurrent or transient. For compact recurrent $R$-trees we provide bounds on the mixing time. In this revised version, assumption (A3) for an $R$-tree has been removed.

Author

Athreya, Siva; Eckhoff, Michael; Winter, Anita

Published

2011

Language

EN