2 citations · 3 across the 2 of their papers we have counts for
4 papers
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…
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…
The relative f-invariant and non-uniform random sofic approximations
Christopher Shriver
The -invariant is an isomorphism invariant of free-group measure-preserving actions introduced by Lewis Bowen in [arXiv:0802.4294], where it was used to show that two finite-ent…
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…