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Publications of Matthew S Junge    :chronological  alphabetical  combined listing:

%% Papers Published   
@article{fds335538,
   Author = {Johnson, T and Junge, M},
   Title = {Stochastic orders and the frog model},
   Journal = {Annales De L'Institut Henri Poincaré, Probabilités Et
             Statistiques},
   Volume = {54},
   Number = {2},
   Pages = {1013-1030},
   Year = {2018},
   Month = {May},
   url = {http://dx.doi.org/10.1214/17-AIHP830},
   Doi = {10.1214/17-AIHP830},
   Key = {fds335538}
}

@article{fds338420,
   Author = {Foxall, E and Hutchcroft, T and Junge, M},
   Title = {Coalescing random walk on unimodular graphs},
   Journal = {Electronic Communications in Probability},
   Volume = {23},
   Year = {2018},
   Month = {January},
   url = {http://dx.doi.org/10.1214/18-ECP136},
   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.},
   Doi = {10.1214/18-ECP136},
   Key = {fds338420}
}

@article{fds339580,
   Author = {Beckman, E and Dinan, E and Durrett, R and Huo, R and Junge,
             M},
   Title = {Asymptotic behavior of the brownian frog
             model},
   Journal = {Electronic Journal of Probability},
   Volume = {23},
   Year = {2018},
   Month = {January},
   url = {http://dx.doi.org/10.1214/18-EJP215},
   Abstract = {© 2018, University of Washington. All rights reserved. We
             introduce an extension of the frog model to Euclidean space
             and prove properties for the spread of active particles. Fix
             r>0 and place a particle at each point x of a unit intensity
             Poisson point process P⊆ℝd−B(0,r). Around each point
             in P, put a ball of radius r. A particle at the origin
             performs Brownian motion. When it hits the ball around x for
             some x ∈ P, new particles begin independent Brownian
             motions from the centers of the balls in the cluster
             containing x. Subsequent visits to the cluster do nothing.
             This waking process continues indefinitely. For r smaller
             than the critical threshold of continuum percolation, we
             show that the set of activated points in P approximates a
             linearly expanding ball. Moreover, in any fixed ball the set
             of active particles converges to a unit intensity Poisson
             point process.},
   Doi = {10.1214/18-EJP215},
   Key = {fds339580}
}

@article{fds339742,
   Author = {Cristali, I and Ranjan, V and Steinberg, J and Beckman, E and Durrett,
             R and Junge, M and Nolen, J},
   Title = {Block size in geometric(P)-biased permutations},
   Journal = {Electronic Communications in Probability},
   Volume = {23},
   Year = {2018},
   Month = {January},
   url = {http://dx.doi.org/10.1214/18-ECP182},
   Abstract = {© 2018, University of Washington. All rights reserved. Fix
             a probability distribution p = (p1, p2, …) on the positive
             integers. The first block in a p-biased permutation can be
             visualized in terms of raindrops that land at each positive
             integer j with probability pj. It is the first point K so
             that all sites in [1, K] are wet and all sites in (K, ∞)
             are dry. For the geometric distribution pj = p(1 − p)j−1
             we show that p log K converges in probability to an explicit
             constant as p tends to 0. Additionally, we prove that if p
             has a stretch exponential distribution, then K is infinite
             with positive probability.},
   Doi = {10.1214/18-ECP182},
   Key = {fds339742}
}

@article{fds329100,
   Author = {Hoffman, C and Johnson, T and Junge, M},
   Title = {Recurrence and transience for the frog model on
             trees},
   Journal = {The Annals of Probability},
   Volume = {45},
   Number = {5},
   Pages = {2826-2854},
   Year = {2017},
   Month = {September},
   url = {http://dx.doi.org/10.1214/16-AOP1125},
   Doi = {10.1214/16-AOP1125},
   Key = {fds329100}
}

@article{fds325463,
   Author = {Hoffman, C and Johnson, T and Junge, M},
   Title = {From transience to recurrence with Poisson tree
             frogs},
   Journal = {The Annals of Applied Probability},
   Volume = {26},
   Number = {3},
   Pages = {1620-1635},
   Year = {2016},
   Month = {June},
   url = {http://dx.doi.org/10.1214/15-AAP1127},
   Doi = {10.1214/15-AAP1127},
   Key = {fds325463}
}

@article{fds325464,
   Author = {Benjamini, I and Foxall, E and Gurel-Gurevich, O and Junge, M and Kesten, H},
   Title = {Site recurrence for coalescing random walk},
   Journal = {Electronic Communications in Probability},
   Volume = {21},
   Year = {2016},
   url = {http://dx.doi.org/10.1214/16-ECP5},
   Doi = {10.1214/16-ECP5},
   Key = {fds325464}
}

@article{fds325465,
   Author = {Johnson, T and Junge, M},
   Title = {The critical density for the frog model is the degree of the
             tree},
   Journal = {Electronic Communications in Probability},
   Volume = {21},
   Year = {2016},
   url = {http://dx.doi.org/10.1214/16-ECP29},
   Doi = {10.1214/16-ECP29},
   Key = {fds325465}
}

@article{fds325466,
   Author = {Junge, M},
   Title = {Choices, intervals and equidistribution},
   Journal = {Electronic Journal of Probability},
   Volume = {20},
   Year = {2015},
   url = {http://dx.doi.org/10.1214/EJP.v20-4191},
   Doi = {10.1214/EJP.v20-4191},
   Key = {fds325466}
}

 

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