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Alan Hammond

Affiliations: 
Mathematics University of California, Berkeley, Berkeley, CA, United States 
Area:
Statistical mechanics, studied rigorously via modern techniques from mathematical probability
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Parents

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Yuval Peres grad student 2005 UC Berkeley
 (Two models of probability theory: Brownian fluctuations and a kinetic limit.)
Fraydoun Rezakhanlou grad student 2005 UC Berkeley
 (Two models of probability theory: Brownian fluctuations and a kinetic limit.)

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Publications

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Hammond A. (2017) Coagulation and diffusion: A probabilistic perspective on the Smoluchowski PDE Probability Surveys. 14: 205-288
Duminil-Copin H, Glazman A, Hammond A, et al. (2016) On the probability that self-avoiding walk ends at a given point Annals of Probability. 44: 955-983
Hammond A, Pete G, Schramm O. (2015) Local time on the exceptional set of dynamical percolation and the incipient infinite cluster Annals of Probability. 43: 2949-3005
Corwin I, Hammond A. (2015) KPZ line ensemble Probability Theory and Related Fields
Corwin I, Hammond A. (2014) Brownian Gibbs property for Airy line ensembles Inventiones Mathematicae. 195: 441-508
Fribergh A, Hammond A. (2014) Phase transition for the speed of the biased random walk on the supercritical percolation cluster Communications On Pure and Applied Mathematics. 67: 173-245
Hammond A. (2013) Stable limit laws for randomly biased walks on supercritical trees Annals of Probability. 41: 1694-1766
Hammond A, Sheffield S. (2013) Power law Pólya's urn and fractional Brownian motion Probability Theory and Related Fields. 157: 691-719
Duminil-Copin H, Hammond A. (2013) Self-Avoiding Walk is Sub-Ballistic Communications in Mathematical Physics. 324: 401-423
Hammond A, Mossel E, Pete G. (2012) Exit time tails from pairwise decorrelation in hidden Markov chains, with applications to dynamical percolation Electronic Journal of Probability. 17
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