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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Couplings of uniform spanning forests


Author: Lewis Bowen
Translated by:
Journal: Proc. Amer. Math. Soc. 132 (2004), 2151-2158
MSC (2000): Primary 60D05, 05C05, 60B99, 20F32
Published electronically: January 22, 2004
MathSciNet review: 2053989
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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: http://dx.doi.org/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
Published electronically: January 22, 2004
Additional Notes: This research was supported in part by NSF Vigre Grant No. DMS-0135345
Communicated by: Richard C. Bradley
Article copyright: © Copyright 2004 American Mathematical Society