Uniqueness of locally symmetric Brownian motion on Laakso spaces

Benjamin Steinhurst

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arXiv · 1103.0519

Uniqueness of locally symmetric Brownian motion on Laakso spaces

Benjamin Steinhurst

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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. 2011-03-02. Uniqueness of locally symmetric Brownian motion on Laakso spaces. https://arxiv.org/abs/1103.0519

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