On monotonicity and couplings of random currents and the loop-O(1)-model

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  • Frederik Ravn Klausen

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.

Original languageEnglish
JournalAlea
Volume19
Issue number1
Pages (from-to)151-161
ISSN1980-0436
DOIs
Publication statusPublished - 2022

Bibliographical note

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© 2022. Alea (Rio de Janeiro). All rights reserved.

    Research areas

  • Eulerian percolation, Ising model, Percolation with degree constraints, Random currents

ID: 333001065