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

DOI10.1007/s00440-014-0608-2zbMath1346.60137arXiv1301.0113OpenAlexW2082073249MaRDI QIDQ2634897

Emilio De Santis, Andrea Maffei

Publication date: 10 February 2016

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.0113

zbMATH Keywords

percolationIsing modelPotts modelrandom cluster modelperfect simulation

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Discrete-time Markov processes on general state spaces (60J05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (4)

Finitary codings for the random-cluster model and other infinite-range monotone models ⋮ Stochastic Ising model with flipping sets of spins and fast decreasing temperature ⋮ One-dimensional infinite memory imitation models with noise ⋮ Zero-temperature stochastic Ising model on planar quasi-transitive graphs

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