2 papers
math.PR2023
Uniqueness of Markov random fields with higher-order dependencies
Dorota Kepa-Maksymowicz, Yuri Kozitsky
Markov random fields on a countable set are studied. They are canonically set by a specification , for which the dependence structure is defined by a pre-modification $(…
math-ph2020
Uniqueness of Gibbs fields with unbounded random interactions on unbounded degree graphs
Dorota Kepa-Maksymowicz, Yuri Kozitsky
Gibbs fields with continuous spins are studied, the underlying graphs of which can be of unbounded vertex degree and the spin-spin pair interaction potentials are random and unboun…