Perfect simulation for the infinite random cluster model, Ising and Potts models at low or high temperature

被引：0

作者：

Emilio De Santis

Andrea Maffei

机构：

[1] Università di Roma La Sapienza,Dipartimento di Matematica

[2] Università di Pisa,Dipartimento di Matematica

来源：

Probability Theory and Related Fields | 2016年 / 164卷

关键词：

Perfect simulation; Random-cluster model; Percolation; 60J05; 82B20; 82B43;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this article we create a new algorithm for the perfect simulation of the infinite random cluster model for a sufficiently small or a sufficiently high value of the parameters. This implies the simulation of the Ising and Potts models with free boundary conditions.

引用

页码：109 / 131

页数：22

共 24 条

[1] Perfect simulation for the infinite random cluster model, Ising and Potts models at low or high temperature
De Santis, Emilio
Maffei, Andrea
PROBABILITY THEORY AND RELATED FIELDS, 2016, 164 (1-2) : 109 - 131
[2] The asymmetric random cluster model and comparison of Ising and Potts models
Alexander, KS
PROBABILITY THEORY AND RELATED FIELDS, 2001, 120 (03) : 395 - 444
[3] SHARP THRESHOLDS FOR THE RANDOM-CLUSTER AND ISING MODELS
Graham, Benjamin
Grimmett, Geoffrey
ANNALS OF APPLIED PROBABILITY, 2011, 21 (01) : 240 - 265
[4] The random cluster representation for the infinite-spin Ising model: application to QCD pure gauge theory
Blanchard, P
Chayes, L
Gandolfo, D
NUCLEAR PHYSICS B, 2000, 588 (1-2) : 229 - 252
[5] Perfect simulation for interacting point processes, loss networks and Ising models
Ferrari, PA
Fernández, R
Garcia, NL
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2002, 102 (01) : 63 - 88
[6] Perfect Simulation of Autoregressive Models with Infinite Memory
De Santis, Emilio
Piccioni, Mauro
JOURNAL OF STATISTICAL PHYSICS, 2013, 150 (06) : 1017 - 1029
[7] Perfect Simulation of Autoregressive Models with Infinite Memory
Emilio De Santis
Mauro Piccioni
Journal of Statistical Physics, 2013, 150 : 1017 - 1029
[8] The covariance matrix of the Potts model: A random cluster analysis
Borgs, C
Chayes, JT
JOURNAL OF STATISTICAL PHYSICS, 1996, 82 (5-6) : 1235 - 1297
[9] Finitary codings for the random-cluster model and other infinite-range monotone models
Harel, Matan
Spinka, Yinon
ELECTRONIC JOURNAL OF PROBABILITY, 2022, 27
[10] The phase transitions of the random-cluster and Potts models on slabs with q ≥ 1 are sharp
Manolescu, Ioan
Raoufii, Aran
ELECTRONIC JOURNAL OF PROBABILITY, 2018, 23

← 1 2 3 →