Uniqueness of locally symmetric Brownian motion on Laakso spaces

Published 2 Mar 2011 in math.PR | (1103.0519v2)

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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Benjamin Steinhurst

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