Stationary distributions for the Voter model in \(d\geq 3\) are factors of IID

DOI10.1214/22-AOP1568zbMath1498.37085arXiv1908.09450MaRDI QIDQ2139108

Allan Sly, Lingfu Zhang

Publication date: 17 May 2022

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.09450

zbMATH Keywords

Bernoulli shiftrandom cluster modelVoter modelfactor of IID

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Random iteration (37H12)

Related Items (3)

Proper -colorings of are Bernoulli ⋮ Uniform even subgraphs and graphical representations of Ising as factors of i.i.d. ⋮ Random interlacement is a factor of i.i.d.

Cites Work

• Unnamed Item
• Finitely dependent processes are finitary
• Finitary codings for spatial mixing Markov random fields
• Entropy and isomorphism theorems for actions of amenable groups
• On the existence and nonexistence of finitary codings for a class of random fields
• Bernoulli shifts with the same entropy are isomorphic
• Factors of Bernoulli shifts are Bernoulli shifts
• FINITELY DEPENDENT COLORING
• Asymptotics for interacting particle systems onZ d
• Generalized Divide and Color models
• Factors of IID on Trees

This page was built for publication: Stationary distributions for the Voter model in \(d\geq 3\) are factors of IID