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This article is cited in 16 scientific papers (total in 16 papers)
The method of reflection positivity in the mathematical theory of first-order phase transitions
S. B. Shlosman
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Russian Mathematical Surveys, 1986, 41:3, 83–134
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UDC:
519.219+531.19
MSC: 82B26, 82B20, 82D40
Received: 04.04.1985
Citation:
S. B. Shlosman, “The method of reflection positivity in the mathematical theory of first-order phase transitions”, Uspekhi Mat. Nauk, 41:3(249) (1986), 69–111; Russian Math. Surveys, 41:3 (1986), 83–134
Citation in format AMSBIB
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\yr 1986
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\issue 3(249)
\pages 69--111
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\transl
\jour Russian Math. Surveys
\yr 1986
\vol 41
\issue 3
\pages 83--134
\crossref{https://doi.org/10.1070/RM1986v041n03ABEH003322}
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http://mi.mathnet.ru/eng/umn2081 http://mi.mathnet.ru/eng/umn/v41/i3/p69
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This publication is cited in the following articles:
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E. A. Pechersky, S. B. Shlosman, “Low-temperature phase transitions in systems with one ground state”, Theoret. and Math. Phys., 70:3 (1987), 325–330
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S. B. Shlosman, “Gauge-invariant specification of gauge fields”, Theoret. and Math. Phys., 77:1 (1988), 1056–1063
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L. Chayes, R. Kotecky, S. B. Shlosman, “Aggregation and intermediate phases in dilute spin systems”, Comm Math Phys, 171:1 (1995), 203
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N. Angelescu, S. Romano, V.A. Zagrebnov, “On long-range order in low-dimensional lattice-gas models of nematic liquid crystals”, Physics Letters A, 200:6 (1995), 433
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V.A. Zagrebnov, “Long-range order in a lattice-gas model of nematic liquid crystals”, Physica A: Statistical Mechanics and its Applications, 232:3-4 (1996), 737
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L CHAYES, J MACHTA, “Graphical representations and cluster algorithms I. Discrete spin systems1”, Physica A: Statistical and Theoretical Physics, 239:4 (1997), 542
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L. Chayes, Leonid P. Pryadko, Kirill Shtengel, “Intersecting loop models on : rigorous results”, Nuclear Physics B, 570:3 (2000), 590
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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
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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
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Brahim Boussaida, Lahoussine Laanait, “Temperature phase transitions associated with local minima of energy”, Physica A: Statistical Mechanics and its Applications, 358:1 (2005), 93
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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
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Senya Shlosman, Yvon Vignaud, “Dobrushin Interfaces via Reflection Positivity”, Comm Math Phys, 276:3 (2007), 827
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Barry Simon, “A Celebration of Jürg and Tom”, J Statist Phys, 2008
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L. Chayes, “Mean Field Analysis of Low–Dimensional Systems”, Comm Math Phys, 2009
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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
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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
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