All Outputs (2)

Deposition, diffusion, and nucleation on an interval (2022)
Journal Article
Georgiou, N., & Wade, A. R. (2022). Deposition, diffusion, and nucleation on an interval. Annals of Applied Probability, 32(6), 4849-4892. https://doi.org/10.1214/22-aap1804

Motivated by nanoscale growth of ultra-thin films, we study a model of deposition, on an interval substrate, of particles that perform Brownian motions until any two meet, when they nucleate to form a static island, which acts as an absorbing barrier... Read More about Deposition, diffusion, and nucleation on an interval.

Cutpoints of non-homogeneous random walks (2022)
Journal Article
Lo, C. H., Menshikov, M. V., & Wade, A. R. (2022). Cutpoints of non-homogeneous random walks. Alea (2006. Online), 19, 493-510. https://doi.org/10.30757/alea.v19-19

We give conditions under which near-critical stochastic processes on the half-line have infinitely many or finitely many cutpoints, generalizing existing results on nearest-neighbour random walks to adapted processes with bounded increments satisfyin... Read More about Cutpoints of non-homogeneous random walks.