Planar random-cluster model: scaling relations

This paper studies the critical and near-critical regimes of the planar random-cluster model on $\mathbb Z^2$ with cluster-weight $q\in [1,4]$ using novel coupling techniques. More precisely, we derive the scaling relations between the critical exponents $\beta $ , $\gamma $...

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Bibliographic Details
Main Authors: Hugo Duminil-Copin, Ioan Manolescu
Format: Article
Language:English
Published: Cambridge University Press 2022-01-01
Series:Forum of Mathematics, Pi
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050508622000166/type/journal_article