Mark Holmes

On the range of lattice models in high dimensions

Mark Holmes, Edwin Perkins

Journal article  |  2020  |  Probability Theory and Related Fields

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

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

Backbone scaling for critical lattice trees in high dimensions

Mark Holmes

Journal article  |  2016  |  Journal of Physics A: Mathematical and Theoretical

STRONGLY REINFORCED POLYA URNS WITH GRAPH-BASED COMPETITION

Remco van der Hofstad, Mark Holmes, Alexey Kuznetsov, Wioletta Ruszel

Journal article  |  2016  |  The Annals of Applied Probability

On strict monotonicity of the speed for excited random walks in one dimension

Mark Holmes

Journal article  |  2015  |  Electronic Communications in Probability

The Voter Model Chordal Interface in Two Dimensions

Mark Holmes, Yevhen Mohylevskyy, Charles M Newman

Journal article  |  2015  |  Journal of Statistical Physics

Random Walks in Degenerate Random Environments

Mark Holmes, Thomas S Salisbury

Journal article  |  2014  |  Canadian Journal of Mathematics

AbstractWe study the asymptotic behaviour of random walks in i.i.d. random environments on . The environments need not be elliptic..

Degenerate random environments

Mark Holmes, Thomas S Salisbury

Journal article  |  2014  |  Random Structures & Algorithms

The survival probability and r-point functions in high dimensions

Remco van der Hofstad, Mark Holmes

Journal article  |  2013  |  Annals of Mathematics

Nonparametric tests for change-point detection a la Gombay and Horvath

Mark Holmes, Ivan Kojadinovic, Jean-Francois Quessy

Journal article  |  2013  |  Journal of Multivariate Analysis

TREE MODELS FOR DIFFERENCE AND CHANGE DETECTION IN A COMPLEX ENVIRONMENT

Yong Wang, Ilze Ziedins, Mark Holmes, Neil Challands

Journal article  |  2012  |  The Annals of Applied Statistics

Excited against the tide: A random walk with competing drifts

Mark Holmes

Journal article  |  2012  |  Annales de l'Institut Henri Poincaré, Probabilités et Statistiques

A non-uniform birthday problem with applications to discrete logarithms

Steven D Galbraith, Mark Holmes

Journal article  |  2012  |  Discrete Applied Mathematics

A monotonicity property for random walk in a partially random environment

Mark Holmes, Rongfeng Sun

Journal article  |  2012  |  Stochastic Processes and their Applications

An expansion for self-interacting random walks

Remco van der Hofstad, Mark Holmes

Journal article  |  2012  |  Brazilian Journal of Probability and Statistics

A combinatorial result with applications to self-interacting random walks

Mark Holmes, Thomas S Salisbury

Journal article  |  2012  |  Journal of Combinatorial Theory, Series A

Monotonicity properties of user equilibrium policies for parallel batch systems

Yizheng Chen, Mark Holmes, Ilze Ziedins

Journal article  |  2012  |  Queueing Systems

FAST LARGE-SAMPLE GOODNESS-OF-FIT TESTS FOR COPULAS

Ivan Kojadinovic, Jun Yan, Mark Holmes

Journal article  |  2011  |  Statistica Sinica

Monotonicity for excited random walk in high dimensions

Remco van der Hofstad, Mark Holmes

Journal article  |  2010  |  Probability Theory and Related Fields

Tests of independence among continuous random vectors based on Cramer-von Mises functionals of the empirical copula process

Ivan Kojadinovic, Mark Holmes

Journal article  |  2009  |  Journal of Multivariate Analysis

The scaling limit of senile reinforced random walk.

Mark Holmes

Journal article  |  2009  |  Electronic Communications in Probability

An extension of the inductive approach to the lace expansion

Remco Van Der Hofstad, Mark Holmes, Gordon Slade

Journal article  |  2008  |  Electronic Communications in Probability

Convergence of lattice trees to super-Brownian motion above the critical dimension

Mark Holmes

Journal article  |  2008  |  Electronic Journal of Probability

Senile reinforced random walks

M Holmes, A Sakai

Journal article  |  2007  |  Stochastic Processes and their Applications

Weak convergence of measure-valued processes and r-point functions

Mark Holmes, Edwin Perkins

Journal article  |  2007  |  The Annals of Probability

High-dimensional graphical networks of self-avoiding walks

M Holmes, AA Jarai, A Sakai, G Slade

Journal article  |  2004  |  Canadian Journal of Mathematics