Work

Some Properties of the Plaquette Random-Cluster Model

Year: 2025

Type: article

Abstract: We show that the i -dimensional plaquette random-cluster model with coefficients in $$\mathbb {Z}_q$$ Z q is dual to a $$(d-i)$$ ( 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.

Source: Mathematical Physics Analysis and Geometry

DOI: 10.1007/s11040-025-09543-x

Authors: Paul Duncan, Benjamin Schweinhart

Institutions: Indiana University Bloomington, Indiana University, George Mason University

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: H2020 European Research Council, HORIZON EUROPE European Research Council