Abstract
We consider 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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Steinhurst, B. Uniqueness of Locally Symmetric Brownian Motion on Laakso Spaces. Potential Anal 38, 281–298 (2013). https://doi.org/10.1007/s11118-012-9273-1
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DOI: https://doi.org/10.1007/s11118-012-9273-1