most citedGibbs Fields: Uniqueness and Decay of Correlations. Revisiting Dobrushin and Pechersky

2 citations · 2 across the 2 of their papers we have counts for

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math.PR2023

Doeblin measures: uniqueness and mixing properties

Noam Berger, Diana Conache, Anders Johannson +1

In this paper we solve two open problems in ergodic theory. We prove first that if a Doeblin function (a -function) satisfies \[\limsup_{n\to\infty}\frac{\mbox{var}_n \log g…

math.PR2015★ 2 cited

Gibbs Fields: Uniqueness and Decay of Correlations. Revisiting Dobrushin and Pechersky

Diana Conache, Yuri Kondratiev, Yuri Kozitsky +1

We give a detailed and refined proof of the Dobrushin-Pechersky uniqueness criterion extended to the case of Gibbs fields on general graphs and single-spin spaces, which in particu…