Geoffrey R. Grimmett

activity

20242026

most citedNon-self-touching paths in plane graphs

2 citations · 2 across the 5 of their papers we have counts for

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math.PR2025

Coalescence in Markov chains

Geoffrey R. Grimmett, Mark Holmes

A Markov chain $X^{i}$ on a finite state space $S$ has transition matrix $P$ and initial state $i$ . We may run the chains $(X^{i} : i \in S)$ in parallel, while insisting that any two su…

math.PR2024

Alice and Bob on $X$ : reversal, coupling, renewal

Geoffrey R. Grimmett

A neat question involving coin flips surfaced on $X$ , and generated an intensive `storm' of `social mathematics'. In a sequence of flips of a fair coin, Alice wins a point at…

Coalescence in Markov chains

Alice and Bob on X: reversal, coupling, renewal

Alice and Bob on $X$ : reversal, coupling, renewal