On monotonicity and couplings of random currents and the loop-O(1)-model
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On monotonicity and couplings of random currents and the loop-O(1)-model. / Klausen, Frederik Ravn.
In: Alea, Vol. 19, No. 1, 2022, p. 151-161.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - On monotonicity and couplings of random currents and the loop-O(1)-model
AU - Klausen, Frederik Ravn
N1 - Publisher Copyright: © 2022. Alea (Rio de Janeiro). All rights reserved.
PY - 2022
Y1 - 2022
N2 - 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.
AB - 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.
KW - Eulerian percolation
KW - Ising model
KW - Percolation with degree constraints
KW - Random currents
UR - http://www.scopus.com/inward/record.url?scp=85123068091&partnerID=8YFLogxK
U2 - 10.30757/ALEA.V19-07
DO - 10.30757/ALEA.V19-07
M3 - Journal article
AN - SCOPUS:85123068091
VL - 19
SP - 151
EP - 161
JO - Alea
JF - Alea
SN - 1980-0436
IS - 1
ER -
ID: 333001065