Uniqueness of locally symmetric Brownian motion on Laakso spaces

Details Uniqueness of locally symmetric Brownian motion on Laakso spaces Uniqueness of locally symmetric Brownian motion on Laakso spaces

2011-03-02

arxiv.org/abs/1103.0519v2

Mathematics

Probability

v2: 16 pages, improved clarity of exposition. v1: 15 pages

Scientific paper

We take the spaces introduced by Laakso in 2000 and building on the work of
Barlow, Bass, Kumagai, and Teplyaev prove the existence and uniqueness of a
local symmetry invariant diffusion via heat kernel estimates. This work also
builds upon works of Cheeger, Barlow and Bass, as well as the author.

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