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We consider Ising models on graphs that converge locally to trees. Examples include random regular graphs with bounded degree and uniformly random graphs with bounded average degree. We prove that the...
We consider the Ising model with inverse temperature β and without external field on sequences of graphs Gn which converge locally to the k-regular tree. We show that for such graphs the Ising m...
There has been a lot of work fitting Ising models to multivariate binary data in order to understand the conditional dependency relationships between the variables. However, additional covariates are ...
In this paper we study homogeneous Gibbs measures on a Cayley tree,subjected to an in nite-temperature Glauber evolution, and consider their (non-)Gibbsian properties. We show that the intermediate Gi...

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