I use probability to describe nature.















Matthew.Junge@baruch.cuny.edu

Curriculum Vitae

Interests












Articles  Published PDFs

2024


43. The density conjecture for activated random walk

arXiv

Christopher Hoffman. Tobias Johnson


42. Reflections on teaching mathematics in prisons

Journal of Humanistic Mathematics


41. Four-parameter coalescing ballistic annihilation

arXiv

Kimberly Affeld*, Christian Dean*, Hanbaek Lyu, Connor Panish*, Lily Reeves

2023


40. Improved critical drift estimates for the frog model on trees

arXiv

Poly Mathews Jr.


39. Diffusion-limited annihilating-coalescing systems

arXiv

Sungwon Ahn, Hanbaek Lyu, Lily Reeves, Jacob Richey, David Sivakoff


38. Critical drift estimates for the frog model on trees

Electronic Journal of Probability

Emma Bailey, Jiaqi Liu

2022


37. Distance-dependent chase-escape on trees

arXiv To appear in New Zealand Journal of Mathematics

Sarai Hernandez-Torres, Naina Ray*, Nidhi Ray*


36. Arrivals are universal in coalescing ballistic annihilation

ALEA

Darío Cruzado Padró*, Lily Reeves


35. A stochastic combustion model with thresholds on trees

Journal of Statistical Physics

Zoe McDonald*, Jean Pulla*, Lily Reeves


34. Non-universality in clustered ballistic annihilation

Electronic Communications in Probability

Arturo Ortiz San Miguel*, Cynthia Rivera Sánchez*, Lily Reeves


2013 — 2021


33. Chase-escape on the configuration model

Electronic Communications in Probability

Emma Bernstein*, Clare Hamblen*, Lily Reeves


32. Safe reopening of university campuses is possible with COVID-19 vaccination

PLOS One 

Sheng Li, Samitha Samanarake, Matthew Zalesak


31. Diffusion-limited annihilating systems and the icx order

Electronic Journal of Probability

Riti Bahl*, Philip Barnet*, Tobias Johnson


30. Three-velocity coalescing ballistic annihilation

Electronic Journal of Probability

Luis Benitez*, Maximus Redman*, Lily Reeves


29. Modeling COVID-19 spread in small colleges

PLOS One

Riti Bahl*, Nicole Eikmeier, Alexandra Fraser*, Felicia Keesing, Kukai Nakahata*, Lily Reeves


28. Particle density in diffusion-limited annihilating systems

Annals of Probability

Tobias Johnson, Hanbaek Lyu, David Sivakoff


27. Parking on supercritical Galton-Watson trees

ALEA

Riti Bahl*,  Philip Barnet*


26. Chase-escape with death on trees

Annals of Probability

Erin Beckman, Keisha Cook, Nicole Eikmeier, Sarai Hernandez-Torres


25. Two-type annihilating systems on the complete and star graph

Stochastic Processes and their Applications

Irina Cristali*, Yufeng Jiang*, Remy Kassem*, David Sivakoff, Grayson York*


24. Critical percolation and A+B-->2A dynamics

Journal of Statistical Physics


23. SIR epidemics on evolving graphs

arXiv

Yufeng Jiang*, Remy Kassem*, Grayson York*, Rick Durrett


22. The phase structure of asymmetric ballistic annihilation

Annals of Applied Probability

Hanbaek Lyu


21. The contact process on periodic trees

arXiv

Yufeng Jiang*, Remy Kassem*, Grayson York*, Brandon Zhao*,  Xiangying Huang, Rick Durrett


20. Cover time for the frog model on trees

Forum of Math, Sigma

Christopher Hoffman, Tobias Johnson


19. The frog model on trees with drift

Electronic Communications in Probability

Erin Beckman, Natalie Frank*, Yufeng Jiang*, Si Tang


18. Coexistence in chase escape

Electronic Communications in Probability

Rick Durrett, Si Tang


17. The upper threshold in ballistic annihilation

ALEA

Debbie Burdinski*, Shrey Gupta*


16. Poisson percolation on the oriented square lattice

Stochastic Processes and their Applications

Irina Cristali*, Rick Durrett


15. Poisson percolation on the square lattice

ALEA

Irina Cristali*, Rick Durrett


14. Parking on transitive unimodular graphs

Annals of Applied Probability

Janko Gravner, Hanbaeck Lyu, David Sivakoff


13. Block size in Geometric(p)-biased permutations

Electronic Communications in Probability

Irina Cristali*, Vinit Ranjan*, Jake Steinberg*, Erin Beckman, Rick Durrett, James Nolen


12. Asymptotic shape of the Brownian frog model

Electronic Journal of Probability

Erin Beckman, Emily Dinan, Rick Durrett, Ran Huo


11. Infection spread for the frog model on trees

Electronic Journal of Probability

Christopher Hoffman, Tobias Johnson


10. Coalescing random walk on unimodular graphs

Electronic Communications in Probability

Eric Foxall. Tom Hutchcroft


9. The bullet problem with discrete speeds

Electronic Communications in Probability

Brittany Dygert*, Christoph Kinzel*, Jennifer Zhu*, Annie Raymond, Erik Slivken


8. Ewens sampling and invariable generation

Combinatorics, Probability, and Computing 

Gerandy Brito, Christopher Fowler, Avi Levy


7. Stochastic orders and the frog model

Annales de l'Institut Henri Poincaré

Tobias Johnson


6. The critical density for the frog model is the degree of the tree

Electronic Communications in Probability 

Tobias Johnson


5. Frog model wakeup time on the complete graph

Rose-Hulman Journal of Undergraduate Research 

Nikki Carter*, Brittany Dygert*, Stephen Lacina*, Collin Litterell*, Austin Stromme*


4. Site recurrence for coalescing random walk

Electronic Communications in Probability 

Itai Benjamini, Eric Foxall, Ori Gurel-Gurevich, Harry Kesten


3. From transience to recurrence with Poisson tree frogs

Annals of Applied Probability

Christopher Hoffman, Tobias Johnson


2. Choices, intervals and equidistribution

Electronic Journal of Probability


1. Recurrence and transience for the frog model on trees

Annals of Probability 

Christopher Hoffman, Tobias Johnson


*undergraduate