Math @ Duke

Publications [#338420] of Matthew S Junge
Papers Published
 Foxall, E; Hutchcroft, T; Junge, M, Coalescing random walk on unimodular graphs,
Electronic Communications in Probability, vol. 23
(January, 2018) [doi]
(last updated on 2018/11/13)
Abstract: © 2018, University of Washington. All rights reserved. Coalescing random walk on a unimodular random rooted graph for which the root has finite expected degree visits each site infinitely often almost surely. A corollary is that an opinion in the voter model on such graphs has infinite expected lifetime. Additionally, we deduce an adaptation of our main theorem that holds uniformly for coalescing random walk on finite random unimodular graphs with degree distribution stochastically dominated by a probability measure with finite mean.


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

