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math.PR2021★ 1 cited
Metastability and maximal-entropy joinings of Gibbs measures on finitely-generated groups
Christopher Shriver
We prove a metastability result for finitary microstates which are good models for a Gibbs measure for a nearest-neighbor interaction on a finitely-generated group. This is used to…
math.PR2020★ 2 cited
Free Energy, Gibbs Measures, and Glauber Dynamics for Nearest-neighbor Interactions on Trees
Christopher Shriver
We extend results of R. Holley beyond the integer lattice to a large class of groups which includes free groups. In particular we show that a shift-invariant measure is Gibbs if an…
math.PR2019
Concentration of Broadcast Models on Trees
Christopher Shriver
An inequality of K. Marton shows that the joint distribution of a Markov chain with uniformly contracting transition kernels exhibits concentration. We prove an analogous inequalit…