Strict monotonicity, continuity, and bounds on the Kertész line for the random-cluster model on Zd
Author:
Affiliation:
1. Department of Mathematics, Université de Fribourg 1 , Chem. de Musée 9, 1700 Fribourg, Switzerland
2. QMATH, Department of Mathematical Sciences, University of Copenhagen 2 , Universitetsparken 5, DK-2100 Copenhagen Ø, Denmark
Abstract
Funder
Villum Fonden
Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
Publisher
AIP Publishing
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0105283/16693981/013302_1_online.pdf
Reference32 articles.
1. On the Kertész line: Some rigorous bounds;J. Math. Phys.,2008
2. On the random-cluster model: I. Introduction and relation to other models;Physica,1972
3. The self-dual point of the two-dimensional random-cluster model is critical for q ≥ 1;Probab. Theory Relat. Fields,2012
4. Sharp phase transition for the random-cluster and Potts models via decision trees;Ann. Math.,2019
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