M. Holmes

collaborators

2 papers

math.PR2026

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.PR2025

Random skeletons in high-dimensional lattice trees

Manuel Cabezas, Alexander Fribergh, Mark Holmes +1

We study the behaviour of the rescaled minimal subtree containing the origin and K random vertices selected from a random critical (sufficiently spread-out, and in dimensions d > 8…