Armenian Journal of Mathematics

Current Issue Vol. 18 No. 11 (2026): On Mixing Properties of the Limiting Gibbs Process

• Articles

  On Mixing Properties of the Limiting Gibbs Process

  Suren Poghosyan

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  Abstract

  We consider locally compact second countable Abelian topological group E with Haar measure and pair potentials in E satisfying some natural stability and regularity conditions. We show that the limiting Gibbs process $\operatorname{G}$ with empty boundary conditions is strongly Brillinger-mixing in the spirit of Lothar Heinrich and thereby mixing with respect to the group of translations and ergodic.

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