Matthew Junge

Education

Ph.D., Mathematics, University of Washington Seattle WA

M.S., Mathematics, University of Washington Seattle WA

B.A., Philosophy, University of Washington Seattle WA

B.S., Mathematics, University of Washington Seattle WA

Journal Articles

Junge, M. (2024). Reflections on Teaching Mathematics in Prisons . Journal of Humanistic Mathematics, 14(1). 266--270.

(2023). Diffusion-limited annihilating-coalescing systems.

(2023). Non-universality in clustered ballistic annihilation. Electronic Communications in Probability, 28. 1-12.

(2023). A stochastic combustion model with thresholds on trees. Journal of Statistical Physics, 190.

Benitez, L., Junge, M., Lyu, H., Redman, M., & Reeves, L. (2023). Three-velocity coalescing ballistic annihilation. Electronic Journal of Probability, 28. 1-18. In Progress.

Johnson, T., Junge, M., Lyu, H., & Sivakoff, D. (2023). Particle density in diffusion-limited annihilating systems. Annals of Probability, 51(6). 2301--2344.

(2023). Distance-dependent chase-escape on trees. New Zealand Journal of Mathematics,

Bailey, E., Junge, M., & Liu, J. (2023). Critical drift estimates for the frog model on trees.

(2022). Chase-escape on the configuration model. Electronic Communications in Probabality, 27: 1-14 (2022). DOI. 1-14.

Junge, M., & Lyu, H. (2022). The phase structure of asymmetric ballistic annihilation. Annals of Applied Probability, 32(5). 3797-3816.

(2022). Arrivals are universal in coalescing ballistic annihilation.

Junge, M., Li, S., Samaranayake, S., & Zalesak, M. (2022). Safe reopening of university campuses is possible with COVID-19 vaccination. PLOS One, 17(7).

Bahl, R., Barnet, P., Johnson, T., & Junge, M. (2022). Diffusion-limited annihilating systems and the increasing convex order. Electronic Journal of Probability, 27. 1-19.

Beckman, E., Cook, K., Eikmeier, N., Hernandez-Torres, S., & Junge, M. (2021). Chase-escape with death on trees. The Annals of Probability, 49(5). 2540-2547.

Cristali, I., Jiang, Y., Junge, M., Kassem, R., Sivakoff, D., & York, G. (2021). Two-type annihilating systems on complete and star graphs. Stochastic Processes and their Applications, 139. 321-342.

Junge, M. (2020). Critical Percolation and A+ B¿ 2A Dynamics. Journal of Statistical Physics, 181(2). 738--751.

Bahl, R., Eikmeier, N., Fraser, A., Junge, M., Keesing, F., Nakahata, K., & Wang, L. Z. (2020). Modeling COVID-19 spread in small colleges. PLOS One, PLOS One 16(8)(e0255654). 24.

Durrett, R., Junge, M., & Tang, S. (2020). Coexistence in chase-escape. Electronic Communications in Probability, 25. 1--14.

Hoffman, C., Johnson, T., & Junge, M. (2019). Cover time for the frog model on trees. Forum of Mathematics, Sigma, 7(41). 49.

Cristali, I., Junge, M., & Durrett, R. (2019). Poisson percolation on the oriented square lattice. Stochastic Processes and their Applications, 130(2). 488--502.

Damron, M., Gravner, J., Junge, M., Lyu, H., & Sivakoff, D. (2019). Parking on transitive unimodular graphs. The Annals of Applied Probability, 29(4). 2089--2113.

Cristali, I., Junge, M., & Durrett, R. (2019). Poisson percolation on the square lattice. Latin American Journal of Probability and Statistics (ALEA), 16. 429-437.

Dygert, B., Kinzel, C., Junge, M., Raymond, A., Slivken, E., & Zhu, J. (2019). The bullet problem with discrete speeds. Electronic Communications in Probability, 24. 1--11.

Hoffman, C., Johnson, T., & Junge, M. (2019). Infection spread for the frog model on trees. Electronic Journal of Probability, 24. 1--29.

Bahl, R., Barnet, P., & Junge, M. (2019). Parking on supercritical Galton-Watson trees. Latin American Journal of Probability and Statistics (ALEA), (18). 1801-1815.

Beckman, E., Frank, N., Jiang, Y., Junge, M., & Tang, S. (2019). The frog model on trees with drift. Electronic Communications in Probability, 24. 1--10.

Burdinski, D., Gupta, S., & Junge, M. (2019). The upper threshold in ballistic annihilation. Latin American Journal of Probability and Statistics (ALEA), 16. 1077-1087.

Johnson, T., & Junge, M. (2018). Stochastic orders and the frog model. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 54(2). 1013--1030.

Brito, G., Fowler, C., Junge, M., & Levy, A. (2018). Ewens sampling and invariable generation. Combinatorics, Probability and Computing, 27(6). 853--891.

Cristali, I., Ranjan, V., Steinberg, J., Beckman, E., Durrett, R., Junge, M., & Nolen, J. (2018). Block size in Geometric p-biased permutations. Electronic Communications in Probability, 23. 1--10.

Beckman, E., Dinan, E., Durrett, R., Huo, R., & Junge, M. (2018). Asymptotic behavior of the Brownian frog model. Electronic Journal of Probability, 23. 1--19.

Foxall, E., Hutchcroft, T., & Junge, M. (2018). Coalescing random walk on unimodular graphs. Electronic Communications in Probability, 23. 1--10.

Hoffman, C., Johnson, T., & Junge, M. (2017). Recurrence and transience for the frog model on trees. The Annals of Probability, 45(5). 2826--2854.

Benjamini, I., Foxall, E., Gurel-Gurevich, O., Junge, M., & Kesten, H. (2016). Site recurrence for coalescing random walk. Electronic Communications in Probability, 21. 1--12.

Hoffman, C., Johnson, T., & Junge, M. (2016). From transience to recurrence with Poisson tree frogs. The Annals of Applied Probability, 26(3). 1620--1635.

Junge, M. (2015). Choices, intervals and equidistribution. Electronic Journal of Probability, 20. 1--18.

Four-parameter coalescing ballistic annihilation.

Mathews Jr, P. Improved critical drift estimates for the frog model on trees.

Media Contributions

(2020). WAMC Public Radio.

(2020). WAMC Public Radio.

Presentations

Junge, M. (2024, January 9). The frog model on trees. Los Angeles Probability Forum. CalTech

Junge, M. The frog model on trees. University of Madison Probability Seminar.

Junge, M. The frog model on trees. CUNY Probability Seminar.

Junge, M. Prison Education. Museum of Math QED. Online: Museum of Math.

Junge, M. Chase-escape. Mathematical Biology Seminar. New Jersey Institute of Technology: New Jersey Institute of Technology.

Junge, M. Ballistic Annihilation. Cornell University Probability Seminar.

Junge, M. Ballistic Annihiliation. Markov Chains with Kinetic Constraints and Applications. Banff, Canada: Banff International Research Station.

Junge, M. Ballistic Annihilation. Duke Probability Seminar.

Junge, M. Ballistic Annihilation. Georgia Tech Stochastics Seminar.

Junge, M. Ballistic Annihilation. University of Pennsylvania and Temple University Probability Seminar.

Junge, M. Ballistic Annihilation. CUNY Probability Seminar.

Junge, M. (2021, September 14). Pandemic REUs. CUNY Probability Seminar. Zoom

Junge, M. (2021, April 14). Modeling COVID-19 Spread in Small Colleges. Baruch College Statistics Seminar. Remote: Baruch College.

Junge, M. (2020, September 11). Modeling COVID-19 Spread in Small Colleges. Cornell Center for Applied Mathematics Colloquium. Remote: Cornell University.

Junge, M. (2020, September 9). Modeling COVID-19 Spread in Small Colleges. Mount Holyoke College Mathematics and Statistics Colloquium. Remote: Mount Holyoke.

Junge, M. (2020, September 1). Modeling COVID-19 Spread in Small Colleges. CUNY Probability Seminar. Remote: CUNY.

Junge, M. (2020, April 16). Modeling COVID-19 Spread in Small Colleges. University of Wisconsin Madison Applied Math Seminar. Remote: University of Wisconsin Madison.

Department

College

University

Public