Yours truly Ben Graham
DMA-École Normale Supérieure
45 Rue d'Ulm
Paris
+33 (0) 1 44 32 21 81
graham@dma.ens.fr
Percolation process

Je suis un post-doc financé par la Fondation Sciences Mathématiques de Paris. Bientôt, je vais aller à l'Université de Warwick.

Recherche

Metastability in the dilute Ising model
with Thierry Bodineau and Marc Wouts

Helffer-Sjöstrand representation for conservative dynamics
with Thierry Bodineau
Proceedings of IRS 2010, Markov Processes and Related Fields

Sublinear variance for directed last passage percolation
Journal of Theoretical Probability

Sharp thresholds for the random-cluster and Ising models
with Geoffrey Grimmett
Annals of Applied Probability, 21(1):240-265, 2011

Borel type bounds for the self-avoiding walk connective constant
Figure: The oscillating coefficients of the spherical model series expansion
Journal of Physics A: Mathematical and Theoretical 43:235001, 2010

Rate of relaxation for a mean-field zero-range process
Animation: The empirical distribution: one million boxes, and twenty balls per box
Annals of Applied Probability, 19(2):497-520, 2009

Interacting Stochastic Systems
PhD Thesis, University of Cambridge, 2007

Influence and sharp-threshold theorems for monotonic measures
with Geoffrey Grimmett
Annals of Probability, 34(5):1726-1745, 2006
(In Beffara & Duminil-Copin, Theorem 2.10 is used to show: "The self-dual point of the two-dimensional random-cluster model is critical for q≥1")

Random-current representation of the Blume-Capel model
with Geoffrey Grimmett
Journal of Statistical Physics, 125(2):283-316, 2006

SpeedwEyes: an eye-screening management system in diabetic care
with Stephen Corcoran
British Journal of Healthcare Computing and Information Management; 19(3):23-25, 2002