14 citations · 20 across the 4 of their papers we have counts for
4 papers · 1 filter
Reconstruction of symmetric Potts Models
Allan Sly
The reconstruction problem on the tree has been studied in numerous contexts including statistical physics, information theory and computational biology. However, rigorous reconstr…
Exact conditions for no ruin for the generalised Ornstein-Uhlenbeck process
Damien Bankovsky, Allan Sly
For a bivariate Lévy process the generalised Ornstein-Uhlenbeck (GOU) process is defined as V_t:=e^{ξ_t}(z+\int_0^t e^{-ξ_{s-}}dη_s), t\ge0, where $z\in\mathb…
Gibbs Rapidly Samples Colorings of G(n,d/n)
Elchanan Mossel, Allan Sly
Gibbs sampling also known as Glauber dynamics is a popular technique for sampling high dimensional distributions defined on graphs. Of special interest is the behavior of Gibbs sam…
Uniqueness thresholds on trees versus graphs
Allan Sly
Counter to the general notion that the regular tree is the worst case for decay of correlation between sets and nodes, we produce an example of a multi-spin interacting system whic…