Some Properties of the Plaquette Random-Cluster Model

Autor:	Duncan, Paul, Schweinhart, Benjamin
Rok vydání:	2024
Předmět:	Mathematics - Probability Mathematical Physics Mathematics - Algebraic Topology
Druh dokumentu:	Working Paper
Popis:	We show that the $i$-dimensional plaqutte random-cluster model with coefficients in $\mathbb{Z}_q$ is dual to a $(d-i)$-dimensional plaquette random cluster model. In addition, we explore boundary conditions, infinite volume limits, and uniqueness for these models. For previously known results, we provide new proofs that rely more on the tools of algebraic topology. Comment: Fixed typos
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2406.08043 Zobrazit plný text záznamu View this record from Arxiv