most citedHeight-offset variables and pinning at infinity for gradient Gibbs measures on trees

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Height-offset variables and pinning at infinity for gradient Gibbs measures on trees

Florian Henning, Christof Kuelske

Height-offset variables (HOVs) provide a mechanism, known as "pinning at infinity", to lift gradient Gibbs measures (GGMs) - describing interface increments - to proper Gibbs measu…

math.PR2024

Gibbs Properties of the Bernoulli field on inhomogeneous trees under the removal of isolated sites

Florian Henning, Christof Külske, Niklas Schubert

We consider the i.i.d. Bernoulli field with occupation density on a possibly non-regular countably infinite tree with bounded degrees. For large , we show t…