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Couplings of uniform spanning forests

Author(s): Lewis Bowen
Journal: Proc. Amer. Math. Soc. 132 (2004), 2151-2158.
MSC (2000): Primary 60D05, 05C05, 60B99, 20F32
Posted: January 22, 2004
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Abstract | References | Similar articles | Additional information

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.

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Additional Information:

Lewis Bowen
Affiliation: Department of Mathematics, University of California, Davis, California 95616
Email: lbowen@math.ucdavis.edu

DOI: 10.1090/S0002-9939-04-07304-6
PII: S 0002-9939(04)07304-6
Keywords: Spanning trees, Cayley graphs, couplings, harmonic Dirichlet functions, amenability, residual amenability
Received by editor(s): January 30, 2003
Received by editor(s) in revised form: April 14, 2003
Posted: January 22, 2004
Additional Notes: This research was supported in part by NSF Vigre Grant No. DMS-0135345
Communicated by: Richard C. Bradley
Copyright of article: Copyright 2004, American Mathematical Society

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