Allan Sly

Department of Statistics
#367 Evans Hall
University of California
Berkeley, Ca-94720-3860
sly@domain with domain = stat.berkeley.edu

I am an Australian PhD student in the Statistics Department, University of California, Berkeley. My advisor is Elchanan Mossel.

Research

My research is in probability theory. My primary interests are Gibbs measures, MCMC and combinatorial statistics. A major focus of my work has been on understanding the mixing times of Markov chains, particularly the Glauber dynamics on trees and random graphs and how it relates to phases transition of the Gibbs measue. I am also intereted in the reconstruction problem on trees for a number of Gibbs distributions.

[9]Exact conditions for no ruin for the generalised Ornstein-Uhlenbeck process 2008 (with D. Bankovsky) (Submitted) Preprint

[8]Reconstruction of Random Colourings 2008 (Submitted) Preprint

[7]Reconstruction of Markov Random Fields from Samples: Some Easy Observations and Algorithms 2008 (with G. Bresler and E. Mossel) (Submitted) Preprint

[6]Gibbs Rapidly Samples Colorings of G(n,d/n) 2008 (with E. Mossel) (Submitted) Preprint

[5]Rapid Mixing of Gibbs Sampling on Graphs that are Sparse on Average (with E. Mossel) Procedings of ACM-SIAM Symposium on Discrete Algorithms 2008, p238-247 PDF Preprint

[4]Uniqueness Thresholds on Trees and Graphs (To appear in the Annals of Applied Probability) Preprint

[3]A Cautionary Note on Modeling with Fractional Levy Flights (with C.C. Heyde) (Submitted) Preprint

[2]Non-Standard Limit Theorem for Infinite Variance Functionals. (with C.C. Heyde), Annals of Probability, 36, (2008) 796-805. Link

[1]Integrated Fractional White Noise, Journal of Applied Probability, 44, (2007), 393-408. Link