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

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

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

Harvard

Klausen, FR 2022, 'On monotonicity and couplings of random currents and the loop-O(1)-model', Alea, vol. 19, no. 1, pp. 151-161. https://doi.org/10.30757/ALEA.V19-07

APA

Klausen, F. R. (2022). On monotonicity and couplings of random currents and the loop-O(1)-model. Alea, 19(1), 151-161. https://doi.org/10.30757/ALEA.V19-07

Vancouver

Klausen FR. On monotonicity and couplings of random currents and the loop-O(1)-model. Alea. 2022;19(1):151-161. https://doi.org/10.30757/ALEA.V19-07

Author

Klausen, Frederik Ravn. / On monotonicity and couplings of random currents and the loop-O(1)-model. In: Alea. 2022 ; Vol. 19, No. 1. pp. 151-161.

Bibtex

@article{a6a0210e2ec54090ac4e641dedec67e8,
title = "On monotonicity and couplings of random currents and the loop-O(1)-model",
abstract = "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.",
keywords = "Eulerian percolation, Ising model, Percolation with degree constraints, Random currents",
author = "Klausen, {Frederik Ravn}",
note = "Publisher Copyright: {\textcopyright} 2022. Alea (Rio de Janeiro). All rights reserved.",
year = "2022",
doi = "10.30757/ALEA.V19-07",
language = "English",
volume = "19",
pages = "151--161",
journal = "Alea",
issn = "1980-0436",
publisher = "Instituto Nacional de Matematica Pura e Aplicada",
number = "1",

}

RIS

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