Coalescing random walk on unimodular graphs Electronic Communications in Probability to appear [arxiv] Eric Foxall, Tom Hutchcroft, Matthew Junge. 2018.
Stochastic orders and the frog model Tobias Johnson, and Matthew Junge. 2018.
Recurrence and transience for the frog model on trees Christopher Hoffman, Tobias Johnson, and Matthew Junge. 2017.
From transience to recurrence with Poisson tree frogs Christopher Hoffman, Tobias Johnson, and Matthew Junge. 2016.
Site recurrence for coalescing random walk Itai Benjamini, Eric Foxall, Ori Gurel-Gurevich, Matthew Junge, Harry Kesten. 2016.
The critical density for the frog model is the degree of the tree
Tobias Johnson, and Matthew Junge. 2016.
Ewens sampling and invariable generation Gerandy Brito, Christopher Fowler, Matthew Junge, Avi Levy. 2016.
Choices, intervals and equidistribution Matthew Junge. 2015.
In revision (3)
Parking on transitive unimodular graphs Annals of Applied Probability [arXiv] Janko Gravner, Hanbaeck Lyu, Matthew Junge, David Sivakoff. 2017.
The upper threshold in ballistic annihilation Journal of Statistical Physics [arxiv] Debbie Burdinski*, Shrey Gupta*, Matthew Junge. 2018.
Asymptotic behavior of the Brownian frog model
Electronic Journal of Probability [arXiv]
Erin Beckman, Emily Dinan, Rick Durrett, Ran Huo, and Matthew Junge. 2017.
The frog model on trees with drift
Erin Beckman, Natalie Frank*, Yufeng Jiang*, Matthew Junge, Si Tang. 2018.
Coexistence in chase escape arXiv Rick Durrett, Matthew Junge, Si Tang. July, 2018.
Poisson percolation on the oriented square lattice Irina Cristali*, Matthew Junge, Rick Durrett. 2018.
Infection spread for the frog model on trees
Christopher Hoffman, Tobias Johnson, Matthew Junge. 2017.
Cover time for the frog model on trees
Christopher Hoffman, Tobias Johnson, Matthew Junge. 2017.
Poisson percolation on the square lattice Irina Cristali*, Matthew Junge, Rick Durrett. 2017.
Block size in Geometric(p)-biased permuataoins Irina Cristali*, Vinit Ranjan*, Jake Steinberg*, Erin Beckman, Rick Durrett, Matthew Junge, James Nolen. 2017.
The bullet problem with discrete speeds Brittany Dygert*, Christoph Kinzel*, Jennifer Zhu*, Matthew Junge, Annie Raymond, Erik Slivken. 2016.
Undergrad Research Supervised
Frog model wakeup time on the complete graph Nikki Carter*, Brittany Dygert*, Stephen Lacina*, Collin Litterell *, Austin Stromme*. 2016.
The Johnny Appleseed random walk.
Carlos Coronado*, Emily Myers*, Austin Tran*. UW REU 2014.
*undergraduate
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A coupling in the Brownian frog model.
 z The cluster containing 0 in Poisson percolation.
The parking process at criticality.
A renewal property in the bullet process.
The geometric rainstick generates infinite random permutations.
A 2-dependent arrow model for the Johnny Appleseed random walk.
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