Random cluster model (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Random cluster model" in English language version.

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aps.org

link.aps.org

Edwards, Robert G.; Sokal, Alan D. (1988-09-15). "Generalization of the Fortuin-Kasteleyn-Swendsen-Wang representation and Monte Carlo algorithm". Physical Review D. 38 (6): 2009–2012. Bibcode:1988PhRvD..38.2009E. doi:10.1103/PhysRevD.38.2009. PMID 9959355.
Cataudella, V.; Franzese, G.; Nicodemi, M.; Scala, A.; Coniglio, A. (1994-03-07). "Critical clusters and efficient dynamics for frustrated spin models". Physical Review Letters. 72 (10): 1541–1544. Bibcode:1994PhRvL..72.1541C. doi:10.1103/PhysRevLett.72.1541. hdl:2445/13250. PMID 10055635.

arxiv.org

Grimmett (2002). "Random cluster models". arXiv:math/0205237.
Sokal, Alan (2005). "The multivariate Tutte polynomial (Alias Potts model) for graphs and matroids". Surveys in Combinatorics 2005. pp. 173–226. arXiv:math/0503607. doi:10.1017/CBO9780511734885.009. ISBN 9780521615235. S2CID 17904893.
Beffara, Vincent; Duminil-Copin, Hugo (2013-11-27). "The self-dual point of the two-dimensional random-cluster model is critical for $q\geq 1$". arXiv:1006.5073 [math.PR].

cam.ac.uk

statslab.cam.ac.uk

Grimmett. The random cluster model (PDF).

doi.org

Fortuin; Kasteleyn (1972). "On the random-cluster model: I. Introduction and relation to other models". Physica. 57 (4): 536. Bibcode:1972Phy....57..536F. doi:10.1016/0031-8914(72)90045-6.
Newman, Charles M. (1994), Grimmett, Geoffrey (ed.), "Disordered Ising Systems and Random Cluster Representations", Probability and Phase Transition, NATO ASI Series, Dordrecht: Springer Netherlands, pp. 247–260, doi:10.1007/978-94-015-8326-8_15, ISBN 978-94-015-8326-8, retrieved 2021-04-18
Sokal, Alan (2005). "The multivariate Tutte polynomial (Alias Potts model) for graphs and matroids". Surveys in Combinatorics 2005. pp. 173–226. arXiv:math/0503607. doi:10.1017/CBO9780511734885.009. ISBN 9780521615235. S2CID 17904893.
Edwards, Robert G.; Sokal, Alan D. (1988-09-15). "Generalization of the Fortuin-Kasteleyn-Swendsen-Wang representation and Monte Carlo algorithm". Physical Review D. 38 (6): 2009–2012. Bibcode:1988PhRvD..38.2009E. doi:10.1103/PhysRevD.38.2009. PMID 9959355.
Cataudella, V.; Franzese, G.; Nicodemi, M.; Scala, A.; Coniglio, A. (1994-03-07). "Critical clusters and efficient dynamics for frustrated spin models". Physical Review Letters. 72 (10): 1541–1544. Bibcode:1994PhRvL..72.1541C. doi:10.1103/PhysRevLett.72.1541. hdl:2445/13250. PMID 10055635.
Wu, F. Y. (1982-01-01). "The Potts model". Reviews of Modern Physics. 54 (1). American Physical Society (APS): 235–268. Bibcode:1982RvMP...54..235W. doi:10.1103/revmodphys.54.235. ISSN 0034-6861.
Swendsen, Robert H.; Wang, Jian-Sheng (1987-01-12). "Nonuniversal critical dynamics in Monte Carlo simulations". Physical Review Letters. 58 (2): 86–88. Bibcode:1987PhRvL..58...86S. doi:10.1103/PhysRevLett.58.86. PMID 10034599.
Aizenman, M.; Chayes, J. T.; Chayes, L.; Newman, C. M. (April 1987). "The phase boundary in dilute and random Ising and Potts ferromagnets". Journal of Physics A: Mathematical and General. 20 (5): L313 – L318. Bibcode:1987JPhA...20L.313A. doi:10.1088/0305-4470/20/5/010. ISSN 0305-4470.

handle.net

hdl.handle.net

Cataudella, V.; Franzese, G.; Nicodemi, M.; Scala, A.; Coniglio, A. (1994-03-07). "Critical clusters and efficient dynamics for frustrated spin models". Physical Review Letters. 72 (10): 1541–1544. Bibcode:1994PhRvL..72.1541C. doi:10.1103/PhysRevLett.72.1541. hdl:2445/13250. PMID 10055635.

harvard.edu

ui.adsabs.harvard.edu

Fortuin; Kasteleyn (1972). "On the random-cluster model: I. Introduction and relation to other models". Physica. 57 (4): 536. Bibcode:1972Phy....57..536F. doi:10.1016/0031-8914(72)90045-6.
Edwards, Robert G.; Sokal, Alan D. (1988-09-15). "Generalization of the Fortuin-Kasteleyn-Swendsen-Wang representation and Monte Carlo algorithm". Physical Review D. 38 (6): 2009–2012. Bibcode:1988PhRvD..38.2009E. doi:10.1103/PhysRevD.38.2009. PMID 9959355.
Kasteleyn, P. W.; Fortuin, C. M. (1969). "Phase Transitions in Lattice Systems with Random Local Properties". Physical Society of Japan Journal Supplement. 26: 11. Bibcode:1969JPSJS..26...11K.
Cataudella, V.; Franzese, G.; Nicodemi, M.; Scala, A.; Coniglio, A. (1994-03-07). "Critical clusters and efficient dynamics for frustrated spin models". Physical Review Letters. 72 (10): 1541–1544. Bibcode:1994PhRvL..72.1541C. doi:10.1103/PhysRevLett.72.1541. hdl:2445/13250. PMID 10055635.
Wu, F. Y. (1982-01-01). "The Potts model". Reviews of Modern Physics. 54 (1). American Physical Society (APS): 235–268. Bibcode:1982RvMP...54..235W. doi:10.1103/revmodphys.54.235. ISSN 0034-6861.
Swendsen, Robert H.; Wang, Jian-Sheng (1987-01-12). "Nonuniversal critical dynamics in Monte Carlo simulations". Physical Review Letters. 58 (2): 86–88. Bibcode:1987PhRvL..58...86S. doi:10.1103/PhysRevLett.58.86. PMID 10034599.
Aizenman, M.; Chayes, J. T.; Chayes, L.; Newman, C. M. (April 1987). "The phase boundary in dilute and random Ising and Potts ferromagnets". Journal of Physics A: Mathematical and General. 20 (5): L313 – L318. Bibcode:1987JPhA...20L.313A. doi:10.1088/0305-4470/20/5/010. ISSN 0305-4470.

nih.gov

pubmed.ncbi.nlm.nih.gov

Edwards, Robert G.; Sokal, Alan D. (1988-09-15). "Generalization of the Fortuin-Kasteleyn-Swendsen-Wang representation and Monte Carlo algorithm". Physical Review D. 38 (6): 2009–2012. Bibcode:1988PhRvD..38.2009E. doi:10.1103/PhysRevD.38.2009. PMID 9959355.
Cataudella, V.; Franzese, G.; Nicodemi, M.; Scala, A.; Coniglio, A. (1994-03-07). "Critical clusters and efficient dynamics for frustrated spin models". Physical Review Letters. 72 (10): 1541–1544. Bibcode:1994PhRvL..72.1541C. doi:10.1103/PhysRevLett.72.1541. hdl:2445/13250. PMID 10055635.
Swendsen, Robert H.; Wang, Jian-Sheng (1987-01-12). "Nonuniversal critical dynamics in Monte Carlo simulations". Physical Review Letters. 58 (2): 86–88. Bibcode:1987PhRvL..58...86S. doi:10.1103/PhysRevLett.58.86. PMID 10034599.

semanticscholar.org

api.semanticscholar.org

Sokal, Alan (2005). "The multivariate Tutte polynomial (Alias Potts model) for graphs and matroids". Surveys in Combinatorics 2005. pp. 173–226. arXiv:math/0503607. doi:10.1017/CBO9780511734885.009. ISBN 9780521615235. S2CID 17904893.

worldcat.org

search.worldcat.org

Wu, F. Y. (1982-01-01). "The Potts model". Reviews of Modern Physics. 54 (1). American Physical Society (APS): 235–268. Bibcode:1982RvMP...54..235W. doi:10.1103/revmodphys.54.235. ISSN 0034-6861.
Aizenman, M.; Chayes, J. T.; Chayes, L.; Newman, C. M. (April 1987). "The phase boundary in dilute and random Ising and Potts ferromagnets". Journal of Physics A: Mathematical and General. 20 (5): L313 – L318. Bibcode:1987JPhA...20L.313A. doi:10.1088/0305-4470/20/5/010. ISSN 0305-4470.