%% 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 = {10131030},
Year = {2018},
Month = {May},
url = {http://dx.doi.org/10.1214/17AIHP830},
Doi = {10.1214/17AIHP830},
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/10.1214/18ECP136},
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 = {10.1214/18ECP136},
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/10.1214/18EJP215},
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 = {10.1214/18EJP215},
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/10.1214/18ECP182},
Abstract = {© 2018, University of Washington. All rights reserved. Fix
a probability distribution p = (p1, p2, …) on the positive
integers. The first block in a pbiased 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 = {10.1214/18ECP182},
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 = {28262854},
Year = {2017},
Month = {September},
url = {http://dx.doi.org/10.1214/16AOP1125},
Doi = {10.1214/16AOP1125},
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 = {16201635},
Year = {2016},
Month = {June},
url = {http://dx.doi.org/10.1214/15AAP1127},
Doi = {10.1214/15AAP1127},
Key = {fds325463}
}
@article{fds325464,
Author = {Benjamini, I and Foxall, E and GurelGurevich, 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/10.1214/16ECP5},
Doi = {10.1214/16ECP5},
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/10.1214/16ECP29},
Doi = {10.1214/16ECP29},
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.v204191},
Doi = {10.1214/EJP.v204191},
Key = {fds325466}
}
