Potts model (English Wikipedia)

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

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Wu, F. Y. (1982-01-01). "The Potts model". Reviews of Modern Physics. 54 (1): 235–268. Bibcode:1982RvMP...54..235W. doi:10.1103/RevModPhys.54.235.
Ashkin, J.; Teller, E. (1943-09-01). "Statistics of Two-Dimensional Lattices with Four Components". Physical Review. 64 (5–6): 178–184. Bibcode:1943PhRv...64..178A. doi:10.1103/PhysRev.64.178.
Shimagaki, Kai; Weigt, Martin (2019-09-19). "Selection of sequence motifs and generative Hopfield-Potts models for protein families". Physical Review E. 100 (3): 032128. arXiv:1905.11848. Bibcode:2019PhRvE.100c2128S. doi:10.1103/PhysRevE.100.032128. PMID 31639992. S2CID 167217593.
Graner, François; Glazier, James A. (1992-09-28). "Simulation of biological cell sorting using a two-dimensional extended Potts model". Physical Review Letters. 69 (13): 2013–2016. Bibcode:1992PhRvL..69.2013G. doi:10.1103/PhysRevLett.69.2013. PMID 10046374.

arxiv.org

Shimagaki, Kai; Weigt, Martin (2019-09-19). "Selection of sequence motifs and generative Hopfield-Potts models for protein families". Physical Review E. 100 (3): 032128. arXiv:1905.11848. Bibcode:2019PhRvE.100c2128S. doi:10.1103/PhysRevE.100.032128. PMID 31639992. S2CID 167217593.
Mehta, Pankaj; Bukov, Marin; Wang, Ching-Hao; Day, Alexandre G. R.; Richardson, Clint; Fisher, Charles K.; Schwab, David J. (2019-05-30). "A high-bias, low-variance introduction to Machine Learning for physicists". Physics Reports. 810: 1–124. arXiv:1803.08823. Bibcode:2019PhR...810....1M. doi:10.1016/j.physrep.2019.03.001. ISSN 0370-1573. PMC 6688775. PMID 31404441.
Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent (2017-01-01). "Continuity of the Phase Transition for Planar Random-Cluster and Potts Models with $${1 \le q \le 4}$$". Communications in Mathematical Physics. 349 (1): 47–107. arXiv:1505.04159. doi:10.1007/s00220-016-2759-8. ISSN 1432-0916. S2CID 119153736.
Duminil-Copin, Hugo; Gagnebin, Maxime; Harel, Matan; Manolescu, Ioan; Tassion, Vincent (2017-09-05). "Discontinuity of the phase transition for the planar random-cluster and Potts models with $q>4$". arXiv:1611.09877 [math.PR].
Li, Zi-Qian; Yang, Li-Ping; Xie, Z. Y.; Tu, Hong-Hao; Liao, Hai-Jun; Xiang, T. (2020). "Critical properties of the two-dimensional $q$-state clock model". Physical Review E. 101 (6): 060105. arXiv:1912.11416v3. Bibcode:2020PhRvE.101f0105L. doi:10.1103/PhysRevE.101.060105. PMID 32688489. S2CID 209460838.
Sokal, Alan D. (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.
Krähenbühl, Philipp; Koltun, Vladlen (2011). "Efficient Inference in Fully Connected CRFs with Gaussian Edge Potentials". Advances in Neural Information Processing Systems. 24. Curran Associates, Inc. arXiv:1210.5644.

cambridge.org

Potts, R. B. (January 1952). "Some generalized order-disorder transformations". Mathematical Proceedings of the Cambridge Philosophical Society. 48 (1): 106–109. Bibcode:1952PCPS...48..106P. doi:10.1017/S0305004100027419. ISSN 1469-8064. S2CID 122689941.

doi.org

Wu, F. Y. (1982-01-01). "The Potts model". Reviews of Modern Physics. 54 (1): 235–268. Bibcode:1982RvMP...54..235W. doi:10.1103/RevModPhys.54.235.
Potts, R. B. (January 1952). "Some generalized order-disorder transformations". Mathematical Proceedings of the Cambridge Philosophical Society. 48 (1): 106–109. Bibcode:1952PCPS...48..106P. doi:10.1017/S0305004100027419. ISSN 1469-8064. S2CID 122689941.
Ashkin, J.; Teller, E. (1943-09-01). "Statistics of Two-Dimensional Lattices with Four Components". Physical Review. 64 (5–6): 178–184. Bibcode:1943PhRv...64..178A. doi:10.1103/PhysRev.64.178.
Shimagaki, Kai; Weigt, Martin (2019-09-19). "Selection of sequence motifs and generative Hopfield-Potts models for protein families". Physical Review E. 100 (3): 032128. arXiv:1905.11848. Bibcode:2019PhRvE.100c2128S. doi:10.1103/PhysRevE.100.032128. PMID 31639992. S2CID 167217593.
Graner, François; Glazier, James A. (1992-09-28). "Simulation of biological cell sorting using a two-dimensional extended Potts model". Physical Review Letters. 69 (13): 2013–2016. Bibcode:1992PhRvL..69.2013G. doi:10.1103/PhysRevLett.69.2013. PMID 10046374.
Mehta, Pankaj; Bukov, Marin; Wang, Ching-Hao; Day, Alexandre G. R.; Richardson, Clint; Fisher, Charles K.; Schwab, David J. (2019-05-30). "A high-bias, low-variance introduction to Machine Learning for physicists". Physics Reports. 810: 1–124. arXiv:1803.08823. Bibcode:2019PhR...810....1M. doi:10.1016/j.physrep.2019.03.001. ISSN 0370-1573. PMC 6688775. PMID 31404441.
Beffara, Vincent; Duminil-Copin, Hugo (2012-08-01). "The self-dual point of the two-dimensional random-cluster model is critical for q ≥ 1". Probability Theory and Related Fields. 153 (3): 511–542. doi:10.1007/s00440-011-0353-8. ISSN 1432-2064. S2CID 55391558.
Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent (2017-01-01). "Continuity of the Phase Transition for Planar Random-Cluster and Potts Models with $${1 \le q \le 4}$$". Communications in Mathematical Physics. 349 (1): 47–107. arXiv:1505.04159. doi:10.1007/s00220-016-2759-8. ISSN 1432-0916. S2CID 119153736.
Li, Zi-Qian; Yang, Li-Ping; Xie, Z. Y.; Tu, Hong-Hao; Liao, Hai-Jun; Xiang, T. (2020). "Critical properties of the two-dimensional $q$-state clock model". Physical Review E. 101 (6): 060105. arXiv:1912.11416v3. Bibcode:2020PhRvE.101f0105L. doi:10.1103/PhysRevE.101.060105. PMID 32688489. S2CID 209460838.
Selke, Walter; Huse, David A. (1983-06-01). "Interfacial adsorption in planar potts models". Zeitschrift für Physik B: Condensed Matter. 50 (2): 113–116. Bibcode:1983ZPhyB..50..113S. doi:10.1007/BF01304093. ISSN 1431-584X. S2CID 121502987.
Sokal, Alan D. (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.
Friedrich, F.; Kempe, A.; Liebscher, V.; Winkler, G. (2008). "Complexity Penalized M-Estimation: Fast Computation". Journal of Computational and Graphical Statistics. 17 (1): 201–224. doi:10.1198/106186008X285591. ISSN 1061-8600. JSTOR 27594299. S2CID 117951377.
Boykov, Y.; Veksler, O.; Zabih, R. (November 2001). "Fast approximate energy minimization via graph cuts". IEEE Transactions on Pattern Analysis and Machine Intelligence. 23 (11): 1222–1239. doi:10.1109/34.969114. ISSN 1939-3539.

harvard.edu

ui.adsabs.harvard.edu

Wu, F. Y. (1982-01-01). "The Potts model". Reviews of Modern Physics. 54 (1): 235–268. Bibcode:1982RvMP...54..235W. doi:10.1103/RevModPhys.54.235.
Potts, R. B. (January 1952). "Some generalized order-disorder transformations". Mathematical Proceedings of the Cambridge Philosophical Society. 48 (1): 106–109. Bibcode:1952PCPS...48..106P. doi:10.1017/S0305004100027419. ISSN 1469-8064. S2CID 122689941.
Ashkin, J.; Teller, E. (1943-09-01). "Statistics of Two-Dimensional Lattices with Four Components". Physical Review. 64 (5–6): 178–184. Bibcode:1943PhRv...64..178A. doi:10.1103/PhysRev.64.178.
Shimagaki, Kai; Weigt, Martin (2019-09-19). "Selection of sequence motifs and generative Hopfield-Potts models for protein families". Physical Review E. 100 (3): 032128. arXiv:1905.11848. Bibcode:2019PhRvE.100c2128S. doi:10.1103/PhysRevE.100.032128. PMID 31639992. S2CID 167217593.
Graner, François; Glazier, James A. (1992-09-28). "Simulation of biological cell sorting using a two-dimensional extended Potts model". Physical Review Letters. 69 (13): 2013–2016. Bibcode:1992PhRvL..69.2013G. doi:10.1103/PhysRevLett.69.2013. PMID 10046374.
Mehta, Pankaj; Bukov, Marin; Wang, Ching-Hao; Day, Alexandre G. R.; Richardson, Clint; Fisher, Charles K.; Schwab, David J. (2019-05-30). "A high-bias, low-variance introduction to Machine Learning for physicists". Physics Reports. 810: 1–124. arXiv:1803.08823. Bibcode:2019PhR...810....1M. doi:10.1016/j.physrep.2019.03.001. ISSN 0370-1573. PMC 6688775. PMID 31404441.
Li, Zi-Qian; Yang, Li-Ping; Xie, Z. Y.; Tu, Hong-Hao; Liao, Hai-Jun; Xiang, T. (2020). "Critical properties of the two-dimensional $q$-state clock model". Physical Review E. 101 (6): 060105. arXiv:1912.11416v3. Bibcode:2020PhRvE.101f0105L. doi:10.1103/PhysRevE.101.060105. PMID 32688489. S2CID 209460838.
Selke, Walter; Huse, David A. (1983-06-01). "Interfacial adsorption in planar potts models". Zeitschrift für Physik B: Condensed Matter. 50 (2): 113–116. Bibcode:1983ZPhyB..50..113S. doi:10.1007/BF01304093. ISSN 1431-584X. S2CID 121502987.

ieee.org

ieeexplore.ieee.org

Boykov, Y.; Veksler, O.; Zabih, R. (November 2001). "Fast approximate energy minimization via graph cuts". IEEE Transactions on Pattern Analysis and Machine Intelligence. 23 (11): 1222–1239. doi:10.1109/34.969114. ISSN 1939-3539.

jstor.org

Friedrich, F.; Kempe, A.; Liebscher, V.; Winkler, G. (2008). "Complexity Penalized M-Estimation: Fast Computation". Journal of Computational and Graphical Statistics. 17 (1): 201–224. doi:10.1198/106186008X285591. ISSN 1061-8600. JSTOR 27594299. S2CID 117951377.

neurips.cc

proceedings.neurips.cc

Krähenbühl, Philipp; Koltun, Vladlen (2011). "Efficient Inference in Fully Connected CRFs with Gaussian Edge Potentials". Advances in Neural Information Processing Systems. 24. Curran Associates, Inc. arXiv:1210.5644.

nih.gov

pubmed.ncbi.nlm.nih.gov

Shimagaki, Kai; Weigt, Martin (2019-09-19). "Selection of sequence motifs and generative Hopfield-Potts models for protein families". Physical Review E. 100 (3): 032128. arXiv:1905.11848. Bibcode:2019PhRvE.100c2128S. doi:10.1103/PhysRevE.100.032128. PMID 31639992. S2CID 167217593.
Graner, François; Glazier, James A. (1992-09-28). "Simulation of biological cell sorting using a two-dimensional extended Potts model". Physical Review Letters. 69 (13): 2013–2016. Bibcode:1992PhRvL..69.2013G. doi:10.1103/PhysRevLett.69.2013. PMID 10046374.
Mehta, Pankaj; Bukov, Marin; Wang, Ching-Hao; Day, Alexandre G. R.; Richardson, Clint; Fisher, Charles K.; Schwab, David J. (2019-05-30). "A high-bias, low-variance introduction to Machine Learning for physicists". Physics Reports. 810: 1–124. arXiv:1803.08823. Bibcode:2019PhR...810....1M. doi:10.1016/j.physrep.2019.03.001. ISSN 0370-1573. PMC 6688775. PMID 31404441.
Li, Zi-Qian; Yang, Li-Ping; Xie, Z. Y.; Tu, Hong-Hao; Liao, Hai-Jun; Xiang, T. (2020). "Critical properties of the two-dimensional $q$-state clock model". Physical Review E. 101 (6): 060105. arXiv:1912.11416v3. Bibcode:2020PhRvE.101f0105L. doi:10.1103/PhysRevE.101.060105. PMID 32688489. S2CID 209460838.

ncbi.nlm.nih.gov

Mehta, Pankaj; Bukov, Marin; Wang, Ching-Hao; Day, Alexandre G. R.; Richardson, Clint; Fisher, Charles K.; Schwab, David J. (2019-05-30). "A high-bias, low-variance introduction to Machine Learning for physicists". Physics Reports. 810: 1–124. arXiv:1803.08823. Bibcode:2019PhR...810....1M. doi:10.1016/j.physrep.2019.03.001. ISSN 0370-1573. PMC 6688775. PMID 31404441.

semanticscholar.org

api.semanticscholar.org

Potts, R. B. (January 1952). "Some generalized order-disorder transformations". Mathematical Proceedings of the Cambridge Philosophical Society. 48 (1): 106–109. Bibcode:1952PCPS...48..106P. doi:10.1017/S0305004100027419. ISSN 1469-8064. S2CID 122689941.
Shimagaki, Kai; Weigt, Martin (2019-09-19). "Selection of sequence motifs and generative Hopfield-Potts models for protein families". Physical Review E. 100 (3): 032128. arXiv:1905.11848. Bibcode:2019PhRvE.100c2128S. doi:10.1103/PhysRevE.100.032128. PMID 31639992. S2CID 167217593.
Beffara, Vincent; Duminil-Copin, Hugo (2012-08-01). "The self-dual point of the two-dimensional random-cluster model is critical for q ≥ 1". Probability Theory and Related Fields. 153 (3): 511–542. doi:10.1007/s00440-011-0353-8. ISSN 1432-2064. S2CID 55391558.
Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent (2017-01-01). "Continuity of the Phase Transition for Planar Random-Cluster and Potts Models with $${1 \le q \le 4}$$". Communications in Mathematical Physics. 349 (1): 47–107. arXiv:1505.04159. doi:10.1007/s00220-016-2759-8. ISSN 1432-0916. S2CID 119153736.
Li, Zi-Qian; Yang, Li-Ping; Xie, Z. Y.; Tu, Hong-Hao; Liao, Hai-Jun; Xiang, T. (2020). "Critical properties of the two-dimensional $q$-state clock model". Physical Review E. 101 (6): 060105. arXiv:1912.11416v3. Bibcode:2020PhRvE.101f0105L. doi:10.1103/PhysRevE.101.060105. PMID 32688489. S2CID 209460838.
Selke, Walter; Huse, David A. (1983-06-01). "Interfacial adsorption in planar potts models". Zeitschrift für Physik B: Condensed Matter. 50 (2): 113–116. Bibcode:1983ZPhyB..50..113S. doi:10.1007/BF01304093. ISSN 1431-584X. S2CID 121502987.
Sokal, Alan D. (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.
Friedrich, F.; Kempe, A.; Liebscher, V.; Winkler, G. (2008). "Complexity Penalized M-Estimation: Fast Computation". Journal of Computational and Graphical Statistics. 17 (1): 201–224. doi:10.1198/106186008X285591. ISSN 1061-8600. JSTOR 27594299. S2CID 117951377.

worldcat.org

search.worldcat.org

Potts, R. B. (January 1952). "Some generalized order-disorder transformations". Mathematical Proceedings of the Cambridge Philosophical Society. 48 (1): 106–109. Bibcode:1952PCPS...48..106P. doi:10.1017/S0305004100027419. ISSN 1469-8064. S2CID 122689941.
Mehta, Pankaj; Bukov, Marin; Wang, Ching-Hao; Day, Alexandre G. R.; Richardson, Clint; Fisher, Charles K.; Schwab, David J. (2019-05-30). "A high-bias, low-variance introduction to Machine Learning for physicists". Physics Reports. 810: 1–124. arXiv:1803.08823. Bibcode:2019PhR...810....1M. doi:10.1016/j.physrep.2019.03.001. ISSN 0370-1573. PMC 6688775. PMID 31404441.
Beffara, Vincent; Duminil-Copin, Hugo (2012-08-01). "The self-dual point of the two-dimensional random-cluster model is critical for q ≥ 1". Probability Theory and Related Fields. 153 (3): 511–542. doi:10.1007/s00440-011-0353-8. ISSN 1432-2064. S2CID 55391558.
Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent (2017-01-01). "Continuity of the Phase Transition for Planar Random-Cluster and Potts Models with $${1 \le q \le 4}$$". Communications in Mathematical Physics. 349 (1): 47–107. arXiv:1505.04159. doi:10.1007/s00220-016-2759-8. ISSN 1432-0916. S2CID 119153736.
Selke, Walter; Huse, David A. (1983-06-01). "Interfacial adsorption in planar potts models". Zeitschrift für Physik B: Condensed Matter. 50 (2): 113–116. Bibcode:1983ZPhyB..50..113S. doi:10.1007/BF01304093. ISSN 1431-584X. S2CID 121502987.
Friedrich, F.; Kempe, A.; Liebscher, V.; Winkler, G. (2008). "Complexity Penalized M-Estimation: Fast Computation". Journal of Computational and Graphical Statistics. 17 (1): 201–224. doi:10.1198/106186008X285591. ISSN 1061-8600. JSTOR 27594299. S2CID 117951377.
Boykov, Y.; Veksler, O.; Zabih, R. (November 2001). "Fast approximate energy minimization via graph cuts". IEEE Transactions on Pattern Analysis and Machine Intelligence. 23 (11): 1222–1239. doi:10.1109/34.969114. ISSN 1939-3539.