My home-page has moved to www.stats.ox.ac.uk/~hammond.
Research interests : probability theory, statistical mechanics, partial differential equations.
Publications :
- Critical exponents in percolation via lattice animals. ECP 10 (2005), 45-59.
- Fluctuation of planar Brownian loop capturing large area, with Yuval Peres. Trans. Amer. Math. Soc., to appear.
- The kinetic limit of a system of coagulating Brownian particles, with Fraydoun Rezakhanlou. Arch. Rational Mech. Anal. 185 (2007) 1 - 67.
- Kinetic limit for a system of coagulating planar Brownian particles, with Fraydoun Rezakhanlou. J. Stat. Phys. 124 (2006) 997-1040.
- Moment bounds for the Smoluchowski equation and their consequences., with Fraydoun Rezakhanlou. Comm. Math. Phys., to appear.
- Greedy lattice animals: geometry and
criticality, Ann. Probab. 34 (2006), 2, 593-637.
- Coagulation, diffusion and the continuous
Smoluchowski equation, with Mohammad Reza Yaghouti and
Fraydoun Rezakhanlou. Submitted.
- Biased random walks on Galton-Watson trees with
leaves, with Gerard Ben Arous, Alexander Fribergh and Nina Gantert. Submitted.
- Monotone loop models and rational resonance, with Richard Kenyon. Submitted.
- Power-law Polya's urn and fractional Brownian motion, with Scott Sheffield. Submitted.
- Phase separation in random cluster models I:
uniform upper bounds on local deviation. Submitted.
- Phase separation in random cluster models II:
the droplet at equilibrium, and local deviation lower bounds. Submitted.
- Phase separation in random cluster models III:
circuit regularity.
Teaching
Michaelmas 2009.
- Applied probability.