Mark Holmes

CURIOSITIES REGARDING WAITING TIMES IN POLYA'S URN MODEL

Norbert Henze, Mark Holmes

Journal article  |  2020  |  TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE

On the range of lattice models in high dimensions

Mark Holmes, Edwin Perkins

Journal article  |  2020  |  Probability Theory and Related Fields

Biased Random Walk on the Trace of Biased Random Walk on the Trace of ...

David Croydon, Mark Holmes

Journal article  |  2020  |  Communications in Mathematical Physics

A paradox for expected hitting times

M Holmes, PG Taylor

Journal article  |  2019  |  Stochastic Models

Letter to the Editor

O Angel, M Holmes

Journal article  |  2019  |  Journal of Applied Probability

On the speed of once-reinforced biased random walk on trees

A Collevecchio, M Holmes, D Kious

Journal article  |  2018  |  Electronic Journal of Probability

Proof of the WARM whisker conjecture for neuronal connections

Mark Holmes, Victor Kleptsyn

Journal article  |  2017  |  Chaos: An Interdisciplinary Journal of Nonlinear Science

This paper is devoted to the study of the so-called WARM reinforcement models that are generalisations of Pólya's urn. We show tha..

A CRITERION FOR CONVERGENCE TO SUPER-BROWNIAN MOTION ON PATH SPACE

Remco van der Hofstad, Mark Holmes, Edwin A Perkins

Journal article  |  2017  |  The Annals of Probability

Conditions for ballisticity and invariance principle for random walk in non-elliptic random environment

Mark Holmes, Thomas S Salisbury

Journal article  |  2017  |  Electronic Journal of Probability

Forward Clusters for Degenerate Random Environments

Mark Holmes, Thomas S Salisbury

Journal article  |  2016  |  Combinatorics, Probability and Computing