Abstract
Abstract We show that a.s. all of the connected components of the Wired Spanning Forest are recurrent, proving a conjecture of Benjamini, Lyons, Peres and Schramm. Our analysis relies on a simple martingale involving the effective conductance between the endpoints of an edge in a uniform spanning tree. We believe that this martingale is of independent interest and will find further applications in the study of uniform spanning trees and forests.
Original language | English |
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Pages (from-to) | 570-581 |
Journal | Immunogenetics |
Volume | 54 |
DOIs | |
Publication status | Published - 2002 |
Keywords
- Alternative polyadenylation signals
- Atlantic salmon
- cDNA
- Class I
- Major histocompatibility complex