Mixing of the Glauber dynamics for the ferromagnetic Potts model-Reference-Cited by-同舟云学术

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Mixing of the Glauber dynamics for the ferromagnetic Potts model

Published:2014-09-04 Issue:1 Volume:48 Page:21-52
ISSN:1042-9832
Container-title:Random Structures & Algorithms
language:en
Short-container-title:Random Struct. Alg.

Author:

Bordewich Magnus¹,Greenhill Catherine²,Patel Viresh³

Affiliation:

1. School of Engineering and Computing Sciences; Durham University; Durham DH1 3LE UK

2. School of Mathematics and Statistics; The University of New South Wales; Sydney New South Wales 2052 Australia

3. School of Mathematical Sciences, Queen Mary; University of London; London E1 4NS UK

Funder

Engineering and Physical Sciences Research Council

Australian Research Council

Publisher

Wiley

Subject

Applied Mathematics,Computer Graphics and Computer-Aided Design,General Mathematics,Software

Reference34 articles.

1. Polynomial time randomised approximation schemes for Tutte-Grothendieck invariants: the dense case;Alon;Random Struct Algorithms,1995

2. A probabilistic proof of an asymptotic formula for the number of labelled regular graphs;Bollobás;Eur J Comb,1980

3. Tight bounds for mixing of the Swendsen-Wang algorithm at the Potts transition point;Borgs;Probab Theory Relat Fields,2012

4. Path coupling: A technique for proving rapid mixing in Markov chains

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1. Algorithms for the ferromagnetic Potts model on expanders;Combinatorics, Probability and Computing;2024-04-05

2. Sampling from Potts on random graphs of unbounded degree via random-cluster dynamics;The Annals of Applied Probability;2023-12-01

3. Spatial mixing and the random‐cluster dynamics on lattices;Random Structures & Algorithms;2023-10-20

4. Finite-size scaling, phase coexistence, and algorithms for the random cluster model on random graphs;Annales de l'Institut Henri Poincaré, Probabilités et Statistiques;2023-05-01

5. Metastability of the Potts Ferromagnet on Random Regular Graphs;Communications in Mathematical Physics;2023-02-09

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