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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.PR2026
Source localisation in simple random walks
Ritesh Goenka, Peter Keevash, Tomasz PrzybyÅowski
We consider the problem of locating the source (starting vertex) of a simple random walk, given a snapshot of the set of edges (or vertices) visited in the first steps. Conside…
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…