My research takes a probabilistic approach to particle systems from physics and biology. This includes models for chemical reactions, species proliferation, and epidemic outbreaks. I also study random structures from classical mathematics and computer science such as permutations and fragmented spaces.
As of September 2019, I am the primary investigator for NSF DMS Grant 1855516: Multitype Particle Systems.
As of April 2020, I am the primary investigator on the NSF RAPID Grant 2028892: Quarantined Networks and the Spread of COVID-19
PAPERS reverse arXiv postdate; *undergraduate 28. Particle density in diffusion-limited annihilating systems
27. Parking on supercritical Galton-Watson trees
26. Chase-escape with death on trees
25. Two-type annihilating systems on the complete and star graph
24. Critical percolation and A+B-->2A dynamics
23. SIR epidemics on evolving graphs
22. The phase structure of asymmetric ballistic annihilation
21. The contact process on periodic trees
20. Cover time for the frog model on trees 19. The frog model on trees with drift
18. Coexistence in chase escape
17. The upper threshold in ballistic annihilation
Annals of Applied Probability Electronic Communications in Probability 12. Asymptotic shape of the Brownian frog model
11. Infection spread for the frog model on trees
10. Coalescing random walk on unimodular graphs
Eric Foxall. Tom Hutchcroft 9. The bullet problem with discrete speeds
Brittany Dygert*, Christoph Kinzel*, Jennifer Zhu*, Annie Raymond, Erik Slivken 8. Ewens sampling and invariable generation Combinatorics, Probability, and Computing 7. Stochastic orders and the frog model
6. The critical density for the frog model is the degree of the tree
5. Frog model wakeup time on the complete graph
4. Site recurrence for coalescing random walk Electronic Communications in Probability
2. Choices, intervals and equidistribution
1. Recurrence and transience for the frog model on trees
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