149 citations · 560 across the 62 of their papers we have counts for
79 papers
Symmetrization for finitely dependent colouring
Alexander E. Holroyd
We prove the existence of a finitely dependent proper colouring of the integer lattice Z^d that is fully isometry-invariant in law, for all dimensions d. Previously this was known…
Cyclic products and optimal traps in cyclic birth and death chains
Mark Holmes, Alexander E. Holroyd, Alejandro Ramírez
A birth-death chain is a discrete-time Markov chain on the integers whose transition probabilities are non-zero if and only if . We consider birth-death chains w…
The spinor linkage -- a mechanical implementation of the plate trick
Alexander E. Holroyd
The plate trick or belt trick is a striking physical demonstration of properties of the double cover of the three-dimensional rotation group by the sphere of unit quaternions or sp…
Minimal matchings of point processes
Alexander E. Holroyd, Svante Janson, Johan Wästlund
Suppose that red and blue points form independent homogeneous Poisson processes of equal intensity in . For a positive (respectively, negative) parameter we consider red-b…
The Life and Mathematical Legacy of Thomas M. Liggett
David Aldous, Pietro Caputo, Rick Durrett +3
Thomas Milton Liggett was a world renowned UCLA probabilist, famous for his monograph Interacting Particle Systems. He passed away peacefully on May 12, 2020. This is a perspective…
Galton-Watson games
Alexander E. Holroyd, James B. Martin
We consider two-player combinatorial games in which the graph of positions is random and perhaps infinite, focusing on directed Galton-Watson trees. As the offspring distribution i…