On monotonicity and couplings of random currents and the loop-O(1)-model
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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 language | English |
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Journal | Alea |
Volume | 19 |
Issue number | 1 |
Pages (from-to) | 151-161 |
ISSN | 1980-0436 |
DOIs | |
Publication status | Published - 2022 |
Bibliographical note
Publisher Copyright:
© 2022. Alea (Rio de Janeiro). All rights reserved.
- Eulerian percolation, Ising model, Percolation with degree constraints, Random currents
Research areas
ID: 333001065