Prof Mark Holmes
Prof Prob Theory & Stochastic Processes
School of Mathematics and Statistics
53 Scholarly works
2 Projects
HIGHLIGHTS
2017
Research Grant
Phase Transitions in Stochastic Systems
2017
Journal article
Proof of the WARM whisker conjecture for neuronal connections
DOI: 10.1063/1.49786832017
Journal article
A criterion for convergence to super-Brownian motion on path space
DOI: 10.1214/14-AOP9532017
Journal article
Conditions for ballisticity and invariance principle for random walk in non-elliptic random environment
DOI: 10.1214/17-EJP1072016
Journal article
Strongly reinforced pólya urns with graph-based competition
DOI: 10.1214/16-AAP11532016
Research grants (other domestic)
Phase Transitions in Stochastic Systems
2016
Journal article
Backbone scaling for critical lattice trees in high dimensions
DOI: 10.1088/1751-8113/49/31/314001
RECENT SCHOLARLY WORKS
2025
Journal article
PERCOLATION OF TERRACES, AND ENHANCEMENTS FOR THE ORTHANT MODEL
DOI: 10.1090/btran/2202025
Book Chapter
Open Problems in Stochastic Reinforcement Models
DOI: 10.1007/978-3-031-76738-8_292024
Journal article
Multi-purpose open-end monitoring procedures for multivariate observations based on the empirical distribution function
DOI: 10.1111/jtsa.126832023
Journal article
Historical Lattice Trees
DOI: 10.1007/s00220-023-04641-92023
Journal article
Infinite WARM graphs III: Strong reinforcement regime
DOI: 10.1088/1361-6544/acc9a02023
Journal article
A Markovian arrival stream approach to stochastic gene expression in cells
DOI: 10.1007/s00285-023-01913-92023
Journal article
The mean square displacement of random walk on the Manhattan lattice
DOI: 10.1016/j.spl.2022.1097062023
Journal article
BALANCED EXCITED RANDOM WALK IN TWO DIMENSIONS
DOI: 10.1214/23-AOP1622