Couplings of uniform spanning forests

Author:

Bowen Lewis

Abstract

We prove the existence of an automorphism-invariant coupling for the wired and the free uniform spanning forests on connected graphs with residually amenable automorphism groups.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference14 articles.

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5. [L2] R. Lyons, Determinantal Probability Measures, preprint.

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3. Invariant monotone coupling need not exist;The Annals of Probability;2013-05-01

4. Harmonic models and spanning forests of residually finite groups;Journal of Functional Analysis;2012-10

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