Alexander E. Holroyd

activity

20092026

collaborators

3 papers

math.PR2026

Coupling Markov chains with a common image chain

Edward Crane, Alexander E. Holroyd, Erin Russell

Consider time-homogeneous discrete-time Markov chains $X$ , $Y$ , and $Z$ on countable state spaces, considered as stochastic processes with specified initial distributions. Suppose…

math.PR2025

Polluted Modified Bootstrap Percolation

Janko Gravner, Alexander Holroyd, Sangchul Lee +1

In the polluted modified bootstrap percolation model, sites in the square lattice are independently initially occupied with probability $p$ or closed with probability $q$ . A site b…

math.PR2009

Lipschitz percolation

N. Dirr, P. W. Dondl, G. R. Grimmett +2

We prove the existence of a (random) Lipschitz function $F : Z^{d - 1} \to Z^{+}$ such that, for every $x \in Z^{d - 1}$ , the site $(x, F (x))$ is open in a site percolation process on $\…