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- W4382490921 abstract "We develop a method to prove that certain percolation processes on amenable random rooted graphs are factors of iid (fiid), given that the process is a monotone limit of random finite subgraphs that satisfy a certain independent stochastic domination property. Among the consequences are the previously open claims that the Uniform Spanning Forest (USF) is a factor of iid for recurrent graphs, it is a finite-valued finitary fiid on amenable graphs, and that the critical Ising model on $Z^d$ is a finite-valued finitary fiid, using the known uniqueness of the Gibbs measure." @default.
- W4382490921 created "2023-06-29" @default.
- W4382490921 creator A5032061087 @default.
- W4382490921 date "2023-06-26" @default.
- W4382490921 modified "2023-09-26" @default.
- W4382490921 title "Factor of iid's through stochastic domination" @default.
- W4382490921 doi "https://doi.org/10.48550/arxiv.2306.15120" @default.
- W4382490921 hasPublicationYear "2023" @default.
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