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

• 成果类型: Article
• 署名作者: De Santis, Emilio; Maffei, Andrea
• 署名单位: Sapienza University Rome; University of Pisa
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-014-0608-2
• 发表日期: 2016
• 页码: 109-131
• 关键词: memory; chains; FIELDS

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.