I use probability to describe natural phenomena.
Grants
2023: NSF #2238272 CAREER Award; Stochastic Spatial Systems
2020: NSF #2028892; Quarantined Networks and the Spread of COVID-19
2019: NSF #2115936; Multitype Particle Systems
Articles
2023
40. Improved critical drift estimates for the frog model on trees
Poly Mathews Jr.
39. Diffusion-limited annihilating-coalescing systems
Sungwon Ahn, Hanbaek Lyu, Lily Reeves, Jacob Richey, David Sivakoff
38. Critical drift estimates for the frog model on trees
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
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
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
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
2020
30. Three-velocity coalescing ballistic annihilation
Electronic Journal of Probability
Luis Benitez*, Maximus Redman*, Lily Reeves
29. Modeling COVID-19 spread in small colleges
Riti Bahl*, Nicole Eikmeier, Alexandra Fraser*, Felicia Keesing, Kukai Nakahata*, Lily Reeves
28. Particle density in diffusion-limited annihilating systems
arXiv To appear in Annals of Probability
Tobias Johnson, Hanbaek Lyu, David Sivakoff
2013—2019
27. Parking on supercritical Galton-Watson trees
Riti Bahl*, Philip Barnet*
26. Chase-escape with death on trees
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
Yufeng Jiang*, Remy Kassem*, Grayson York*, Rick Durrett
22. The phase structure of asymmetric ballistic annihilation
Hanbaek Lyu
21. The contact process on periodic trees
Yufeng Jiang*, Remy Kassem*, Grayson York*, Brandon Zhao*, Xiangying Huang, Rick Durrett
20. Cover time for the frog model on trees
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
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
Irina Cristali*, Rick Durrett
14. Parking on transitive unimodular graphs
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
Christopher Hoffman, Tobias Johnson
2. Choices, intervals and equidistribution
Electronic Journal of Probability
1. Recurrence and transience for the frog model on trees
Christopher Hoffman, Tobias Johnson
*undergraduate
