On monotonicity and couplings of random currents and the loop-O(1)-model
ALEA-Latin American Journal of Probability and Mathematical Statistics(2022)
摘要
Using recent couplings, we provide counterexamples to monotonicity properties of percolation models related to graphical representations of the Ising model. We further prove a new coupling of the double random current model to the loop-O(1)-model.
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关键词
Ising model,random currents,Eulerian percolation,percolation with degree constraints
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