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 on Multitype Particle Systems.

See my CV and 


PAPERS reverse arXiv postdate; *undergraduate

2019

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

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

23. SIR epidemics on evolving graphs
arXiv 
Yufeng Jiang*, Remy Kassem*, Grayson York*, Rick Durrett

2018

22. The phase structure of asymmetric ballistic annihilation
Hanbaek Lyu

21. The contact process on periodic trees
arXiv 
Yufeng Jiang*, Remy Kassem*, Grayson York*, Brandon Zhao*,  Xianqying 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
Rick Durrett, Si Tang

17. The upper threshold in ballistic annihilation
ALEA (to appear)
Debbie Burdinski*, Shrey Gupta*

16. Poisson percolation on the oriented square lattice
Irina Cristali*, Rick Durrett

2017

15. Poisson percolation on the square lattice
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
Irina Cristali*, Vinit Ranjan*, Jake Steinberg*, Erin Beckman, Rick Durrett, James Nolen

12. Asymptotic behavior of the Brownian frog model
Erin Beckman, Emily Dinan, Rick Durrett, Ran Huo

11. Infection spread for the frog model on trees
Christopher Hoffman, Tobias Johnson

10. Coalescing random walk on unimodular graphs
Eric Foxall. Tom Hutchcroft

2016

9. The bullet problem with discrete speeds
Brittany Dygert*, Christoph Kinzel*, Jennifer Zhu*, Annie Raymond, Erik Slivken

8. Ewens sampling and invariable generation
Gerandy Brito, Christopher Fowler, Avi Levy

7. Stochastic orders and the frog model
Tobias Johnson

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

2015

5. Frog model wakeup time on the complete graph
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

2014

2. Choices, intervals and equidistribution

1. Recurrence and transience for the frog model on trees
Christopher Hoffman, Tobias Johnson






An epidemic on an evolving network.



Oriented Poisson percolation and the critical threshold.

Chase-escape.


Diffusion limited annihilation.



Asymmetric ballistic annihilation.


The Brownian frog model.

A path in a weighted Catalan number.



The rainstick process.