Math @ Duke

Publications [#325464] of Matthew S Junge
Papers Published
 Benjamini, I; Foxall, E; GurelGurevich, O; Junge, M; Kesten, H, Site recurrence for coalescing random walk,
Electronic Communications in Probability, vol. 21
(January, 2016), Institute of Mathematical Statistics [doi]
(last updated on 2019/08/07)
Abstract: © 2016, University of Washington. All rights reserved. Begin continuous time random walks from every vertex of a graph and have particles coalesce when they collide. We use a duality relation with the voter model to prove the process is site recurrent on bounded degree graphs, and for GaltonWatson trees whose offspring distribution has exponential tail. We prove bounds on the occupation probability of a site, as well as a general 01 law. Similar conclusions hold for a coalescing process on trees where particles do not backtrack.


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