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math.PR2026
Balanced two-type annihilation: mean-field asymptotics
John Haslegrave, Peter Keevash
We consider an interacting particle system where equal-sized populations of two types of particles move by random walk steps on a graph, the two types may have different speeds, an…
math.PR2025
Dissipative particle systems on expanders
John Haslegrave, Peter Keevash
We consider a general framework for multi-type interacting particle systems on graphs, where particles move one at a time by random walk steps, different types may have different s…
math.PR2025
Lonely passengers: a short proof
John Haslegrave
A fixed number of passengers independently board one of several buses uniformly at random. The lonely passenger problem is to prove that the probability of at least one passenger b…