Matthew Junge

Assc Professor

Weissman School of Arts and Sciences

Department: Mathematics

Areas of expertise:

Email Address: matthew.junge@baruch.cuny.edu

> View CV

Biography
Teaching
Research and Creative Activity
Grants
Honors and Awards
Service

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

(2025). Chase-escape with conversion as a multiple sclerosis lesion model.

(2025). Diffusion-limited annihilating-coalescing systems. Electronic Journal of Probability, 30.

(2025). The frog model with death revisited.

(2025). Mean-field limit for activated random walk on the integer lattice.

(2025). Cutoff for activated random walk.

(2024). Distance-dependent chase-escape on trees. New Zealand Journal of Mathematics, 55.

(2024). Arrivals are universal in coalescing ballistic annihilation. ALEA, 21.

(2024). The density conjecture for activated random walk.

Mathews Jr, P. (2024). Improved critical drift estimates for the frog model on trees. Electronic Communications in Probability, 29.

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

Bailey, E., Junge, M., & Liu, J. (2024). Critical drift estimates for the frog model on trees. Electronic Journal of Probability, 29.

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.

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

(2023). Four-parameter coalescing ballistic annihilation. Journal of Statistical Physics, 191.

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

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

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

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

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.

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

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.

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

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

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

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

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

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.

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.

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.

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.

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.

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.

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

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

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

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

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

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.

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

The hockey-stick conjecture for activated random walk.

Scaling limit and density conjecture for ARW on the complete graph.

Media Contributions

(2020). WAMC Public Radio.

Presentations

Junge, M. How REU?. Fordham University

Junge, M. The Density Conjecture for Activated Random Walk. Percolation Today.

Junge, M. The Density Conjecture for Activated Random Walk. NYU Probability Seminar. New York University

Junge, M. Why is nature critical?. Ideas Seaminar: University of North Carolina.

Junge, M. Simple Probability Questions. ourfam.

Junge, M. The Density Conjecture for Activated Random Walk. Cornell Probability Seminar.

Junge, M. (2026, January 3). 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 Annihiliation. Markov Chains with Kinetic Constraints and Applications. Banff, Canada: Banff International Research Station.

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

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

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. The Density Conjecture for Activated Random Walk .

Title	Funding Agency Sponsor	Start Date	End Date	Awarded Date	Total Funding	Status
Phases in Annihilating-Coalescing Particle Systems	PSC CUNY 53	07/01/2022	06/30/2023	04/15/2022	5999.4	Completed
CAREER: Stochastic Spatial Systems	National Science Foundation	07/01/2023	06/30/2028	06/30/2023	502314	Funded - In Progress
Epidemics in Cooperative Infection Models	PSC-CUNY 54	07/01/2023	06/30/2024	04/18/2023	4551	Funded - In Progress
Diffusion-limited Annihilating-Coalescing Systems	Eugene Lang Fellowship	06/01/2022	06/30/2023	04/11/2022	6538.24	Funded - In Progress
Multitype Particle Systems	National Science Foundation	01/15/2021	06/30/2024	01/15/2021	185906	Funded - In Progress
Stochastic Spatial Biological Models	National Science Foundation	09/01/2023	08/31/2026		264275	Submitted for Review

Honor / Award	Organization Sponsor	Date Received	Description
Excellence in Teaching Award	University of Washington	2015	A university-wide award given to two graduate students annually.

Department

Committee Name	Position Role	Start Date	End Date
Baruch Discrete Math REU	Faculty Advisor	1/1/2020	Present

College

Committee Name	Position Role	End Date
Baruch Discrete Math REU	Faculty Advisor	Present
Final Exams	Committee Member	Present
Teaching Observations	Attendee, Meeting	Present

University

Committee Name	Position Role	Start Date	End Date
Joint Committee on Academic Standing	Committee Member	10/1/2024	Present
Final Exams Committee	Committee Member	9/1/2020	Present
CUNY Probability Seminar	Committee Chair	8/31/2022	8/22/2022

Public

Organization	Position Role	Organization State	Organization Country	Start Date	End Date	Audience
Research Supervisor	Research Supervisor			1/1/2020	Present	Local
Bard Prison Initiative	Instructor	New York		1/1/2021	Present