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math-ph2020★ 10 cited
Gibbsian representations of continuous specifications: the theorems of Kozlov and Sullivan revisited
Sebastián Barbieri, Ricardo Gómez, Brian Marcus +2
The theorems of Kozlov and Sullivan characterize Gibbs measures as measures with positive continuous specifications. More precisely, Kozlov showed that every positive continuous sp…
math-ph2018★ 31 cited
Equivalence of relative Gibbs and relative equilibrium measures for actions of countable amenable groups
Sebastián Barbieri, Ricardo Gómez, Brian Marcus +1
We formulate and prove a very general relative version of the Dobrushin-Lanford-Ruelle theorem which gives conditions on constraints of configuration spaces over a finite alphabet…