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Russian Mathematical Surveys, 1986, Volume 41, Issue 3, Pages 83–134
DOI: https://doi.org/10.1070/RM1986v041n03ABEH003322
(Mi rm2081)
 

This article is cited in 27 scientific papers (total in 27 papers)

The method of reflection positivity in the mathematical theory of first-order phase transitions

S. B. Shlosman
References:
Received: 04.04.1985
Bibliographic databases:
Document Type: Article
UDC: 519.219+531.19
MSC: 82B26, 82B20, 82D40
Language: English
Original paper language: Russian
Citation: S. B. Shlosman, “The method of reflection positivity in the mathematical theory of first-order phase transitions”, Russian Math. Surveys, 41:3 (1986), 83–134
Citation in format AMSBIB
\Bibitem{Shl86}
\by S.~B.~Shlosman
\paper The~method of reflection positivity in the mathematical theory of first-order phase transitions
\jour Russian Math. Surveys
\yr 1986
\vol 41
\issue 3
\pages 83--134
\mathnet{http://mi.mathnet.ru/eng/rm2081}
\crossref{https://doi.org/10.1070/RM1986v041n03ABEH003322}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=854240}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1986RuMaS..41...83S}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986H544800004}
Linking options:
  • https://www.mathnet.ru/eng/rm2081
  • https://doi.org/10.1070/RM1986v041n03ABEH003322
  • https://www.mathnet.ru/eng/rm/v41/i3/p69
  • This publication is cited in the following 27 articles:
    1. P. A. da Silva, R. J. Campos-Lopes, A. R. Pereira, “First-order and Berezinskii-Kosterlitz-Thouless phase transitions in two-dimensional generalized XY models”, Phys. Rev. B, 110:10 (2024)  crossref
    2. Ajay Chandra, Trishen S. Gunaratnam, Hendrik Weber, “Phase Transitions for ϕ43”, Commun. Math. Phys., 392:2 (2022), 691  crossref
    3. Roberto Fernández, Manuel González-Navarrete, Eugene Pechersky, Anatoly Yambartsev, “Lack of phase transitions in staggered magnetic systems. A comparison of uniqueness criteria”, Journal of Mathematical Physics, 62:10 (2021)  crossref
    4. Charles M. Newman, Wei Wu, “Gaussian fluctuations for the classical XY model”, Ann. Inst. H. Poincaré Probab. Statist., 54:4 (2018)  crossref
    5. Abdelmalek Abdesselam, “Towards Three-Dimensional Conformal Probability”, P-Adic Num Ultrametr Anal Appl, 10:4 (2018), 233  crossref
    6. Manuel González-Navarrete, Eugene Pechersky, Anatoly Yambartsev, “Phase Transition in Ferromagnetic Ising Model with a Cell-Board External Field”, J Stat Phys, 162:1 (2016), 139  crossref
    7. Alethea B.T. Barbaro, Lincoln Chayes, Maria R. D’Orsogna, “Territorial developments based on graffiti: A statistical mechanics approach”, Physica A: Statistical Mechanics and its Applications, 2012  crossref
    8. A. C. D. van Enter, G. Iacobelli, S. Taati, “First-Order Transition in Potts Models with “Invisible” States: Rigorous Proofs”, Progress of Theoretical Physics, 126:5 (2011), 983  crossref
    9. Gibbs Measures and Phase Transitions, 2011, 495  crossref
    10. L. Chayes, “Mean Field Analysis of Low–Dimensional Systems”, Comm Math Phys, 2009  crossref  mathscinet  isi
    11. Barry Simon, “A Celebration of Jürg and Tom”, J Statist Phys, 2008  crossref  isi
    12. Senya Shlosman, Yvon Vignaud, “Dobrushin Interfaces via Reflection Positivity”, Comm Math Phys, 276:3 (2007), 827  crossref  mathscinet  zmath  adsnasa  isi  elib
    13. Aernout C D van Enter, Silvano Romano, Valentin A Zagrebnov, “First-order transitions for some generalized XY models”, J Phys A Math Gen, 39:26 (2006), L439  crossref  zmath  isi
    14. Marek Biskup, Lincoln Chayes, Shannon Starr, “Quantum Spin Systems at Positive Temperature”, Commun. Math. Phys., 269:3 (2006), 611  crossref
    15. Y. Kondratiev, Y. Kozitsky, Encyclopedia of Mathematical Physics, 2006, 376  crossref
    16. Y Kondratiev, Y Kozitsky, Encyclopedia of Mathematical Physics, 2006, 197  crossref
    17. Aernout C. D. van Enter, Senya B. Shlosman, “Provable First-Order Transitions for Nonlinear Vector and Gauge Models with Continuous Symmetries”, Comm Math Phys, 255:1 (2005), 21  crossref  mathscinet  zmath  isi  elib
    18. Brahim Boussaida, Lahoussine Laanait, “Temperature phase transitions associated with local minima of energy”, Physica A: Statistical Mechanics and its Applications, 358:1 (2005), 93  crossref
    19. Aernout C. D. van Enter, “First-Order Transitions for n-Vector Models in Two and More Dimensions: Rigorous Proof”, Phys Rev Letters, 89:28 (2002), 285702  crossref  isi
    20. L. Chayes, Leonid P. Pryadko, Kirill Shtengel, “Intersecting loop models on : rigorous results”, Nuclear Physics B, 570:3 (2000), 590  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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