Uniqueness of locally symmetric Brownian motion on Laakso spaces

2011/03/02 by Steinhurst, Benjamin
#28A80 #60G18 #60J35 #60J60 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1103.0519

Abstract

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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