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math.PR2025★ 1 cited
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…
math.PR2024
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.PR2024
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…