Uniform even subgraphs and graphical representations of Ising as factors of i.i.d.

DOI10.1214/24-ejp1082arXiv2112.03228OpenAlexW4392113530MaRDI QIDQ6126971

Omer Angel, Yinon Spinka, Gourab Ray

Publication date: 10 April 2024

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.03228

zbMATH Keywords

Ising modelfactors of i.i.d.loop \(O(1)\) modeluniform even subgraph

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Trees (05C05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Unnamed Item
• Wired cycle-breaking dynamics for uniform spanning forests
• Perfect matchings as IID factors on non-amenable groups
• Coupling and Bernoullicity in random-cluster and Potts models
• Finitary codings for spatial mixing Markov random fields
• A measurable-group-theoretic solution to von Neumann's problem
• Minimal spanning forests
• Independence ratio and random eigenvectors in transitive graphs
• A measure-conjugacy invariant for free group actions
• Ends in uniform spanning forests
• The end structure of a graph: Recent results and open problems
• Group-invariant percolation on graphs
• Graphs on surfaces and their applications. Appendix by Don B. Zagier
• On the existence and nonexistence of finitary codings for a class of random fields
• Finitary coloring
• Spectral measures of factor of i.i.d. processes on vertex-transitive graphs
• Very weak Bernoulli for amenable groups
• Uniform spanning forests
• Supercritical percolation on nonamenable graphs: isoperimetry, analyticity, and exponential decay of the cluster size distribution
• A nonamenable ``factor of a Euclidean space
• Finitary codings for the random-cluster model and other infinite-range monotone models
• Stationary distributions for the Voter model in \(d\geq 3\) are factors of IID
• Translation-invariant Gibbs states of the Ising model: general setting
• Finitary coding for the sub-critical Ising model with finite expected coding volume
• Random currents and continuity of Ising model's spontaneous magnetization
• One-ended spanning trees in amenable unimodular graphs
• Hyperbolic and parabolic unimodular random maps
• On the double random current nesting field
• Über unendliche Wege in Graphen
• Emergent planarity in two-dimensional Ising models with finite-range interactions
• Processes on unimodular random networks
• Propp–Wilson Algorithms and Finitary Codings for High Noise Markov Random Fields
• Invariant coupling of determinantal measures on sofic groups
• Følner Independence and the amenable Ising model
• Invariant Gaussian processes and independent sets on regular graphs of large girth
• Correlation Bounds for Distant Parts of Factor of IID Processes
• The Cycle Space of an Infinite Graph
• Mutual information decay for factors of i.i.d.
• Factors of IID on Trees
• The Random-Cluster Model
• Finitary codings for gradient models and a new graphical representation for the six‐vertex model

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