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

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math.PR2024★ 1 cited

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.PR2023

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 th…

math.PR2023

Infinite-volume states with irreducible localization sets for gradient models on trees

Alberto Abbondandolo, Florian Henning, Christof Kuelske +1

We consider general classes of gradient models on regular trees with values in a countable Abelian group such as or , in regimes of strong coupling (…