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diff --git a/bibliography/bibliography.tex b/bibliography/bibliography.tex new file mode 100644 index 0000000..47c2cc3 --- /dev/null +++ b/bibliography/bibliography.tex @@ -0,0 +1,97 @@ +\bibitem[Al16]{Al16}D. Alberici - {\it A Cluster Expansion Approach to the Heilmann-Lieb Liquid Crystal Model}, Journal of Statistical Physics, volume~\-162, issue~\-3, pages~\-761-791, 2016,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/s10955-015-1421-8}{10.1007/s10955-015-1421-8}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/1506.02255}{1506.02255}}.\par\medskip + +\bibitem[AW57]{AW57}B.J. Alder, T.E. Wainwright - {\it Phase Transition for a Hard Sphere System}, The Journal of Chemical Physics, volume~\-27, issue~\-5, pages~\-1208-1209, 1957,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1063/1.1743957}{10.1063/1.1743957}}.\par\medskip + +\bibitem[Ba82]{Ba82}R.J. Baxter - {\it Exactly solved models in Statistical Mechanics}, Academic Press, 1982.\par\medskip + +\bibitem[BZ00]{BZ00}A. Bovier, M. Zahradn\'\i k - {\it A Simple Inductive Approach to the Problem of Convergence of Cluster Expansions of Polymer Models}, Journal of Statistical Physics, volume~\-100, issue~\-3-4, pages~\-765-778, 2000,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1023/A:1018631710626}{10.1023/A:1018631710626}}.\par\medskip + +\bibitem[BKL84]{BKL84}J. Bricmont, K. Kuroda, J.L. Lebowitz - {\it The struture of Gibbs states and phase coexistence for non-symmetric continuum Widom-Rowlinson models}, Zeitschrift f\"ur Wahrscheinlichkeitstheorie und Verwandte Gebiete, volume~\-67, issue~\-2, pages~\-121-138, 1984,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/BF00535264}{10.1007/BF00535264}}.\par\medskip + +\bibitem[DG13]{DG13}M. Disertori, A. Giuliani - {\it The nematic phase of a system of long hard rods}, Communications in Mathematical Physics, volume~\-323, pages~\-143-175, 2013,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/s00220-013-1767-1}{10.1007/s00220-013-1767-1}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/1112.5564}{1112.5564}}.\par\medskip + +\bibitem[Do68]{Do68}R.L. Dobrushin - {\it The problem of uniqueness of a Gibbsian random field and the problem of phase transitions}, Functional Analysis and its Applications, volume~\-2, issue~\-4, pages~\-302-312, 1968,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/BF01075682}{10.1007/BF01075682}}.\par\medskip + +\bibitem[GBG04]{GBG04}G. Gallavotti, F. Bonetto, G. Gentile - {\it Aspects of Ergodic, Qualitative and Statistical Theory of Motion}, Springer, 2004.\par\medskip + +\bibitem[Gr62]{Gr62}J. Groeneveld - {\it Two theorems on classical many-particle systems}, Physics Letters, volume~\-3, issue~\-1, pages~\-50-51, 1962,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1016/0031-9163(62)90198-1}{10.1016/0031-9163(62)90198-1}}.\par\medskip + +\bibitem[Ha05]{Ha05}T.C. Hales - {\it A proof of the Kepler conjecture}, Annals of Mathematics, volume~\-162, issue~\-3, pages~\-1065-1185, 2005,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.4007/annals.2005.162.1065}{10.4007/annals.2005.162.1065}}.\par\medskip + +\bibitem[HAe17]{HAe17}T. Hales, M. Adams, G. Bauer, T.D. Dang, J. Harrison, L.T. Hoang, C. Kaliszyk, V. Magron, S. Mclaughlin, T. Nguyen, Q.T. Nguyen, T. Nipkow, S. Obua, J. Pleso, J. Rute, A. Solovyev, T.H.A. Ta, N.T. Tran, T.D. Trieu, J. Urban, K. Vu, R. Zumkeller - {\it A formal proof of the Kepler conjecture}, Forum of Mathematics, Pi, volume~\-5, issue~\-2, pages~\-1-29, 2017,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1017/fmp.2017.1}{10.1017/fmp.2017.1}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/1501.02155}{1501.02155}}.\par\medskip + +\bibitem[HL72]{HL72}O.J. Heilmann, E.H. Lieb - {\it Theory of monomer-dimer systems}, Communications in Mathematical Physics, volume~\-25, issue~\-3, pages~\-190-232, 1972,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/BF01877590}{10.1007/BF01877590}}.\par\medskip + +\bibitem[HP74]{HP74}O.J. Heilmann, E. Pr\ae{}stgaard - {\it Phase transition in a lattice gas with third nearest neighbour exclusion on a square lattice}, Journal of Physics A, volume~\-7, issue~\-15, pages~\-1913-1917, 1974,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1088/0305-4470/7/15/017}{10.1088/0305-4470/7/15/017}}.\par\medskip + +\bibitem[HL79]{HL79}O.J. Heilmann, E.H. Lieb - {\it Lattice models for liquid crystals}, Journal of Statistical Physics, volume~\-20, issue~\-6, pages~\-679-693, 1979,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/BF01009518}{10.1007/BF01009518}}.\par\medskip + +\bibitem[IVZ06]{IVZ06}D. Ioffe, Y. Velenik, M. Zahradn\'\i k - {\it Entropy-Driven Phase Transition in a Polydisperse Hard-Rods Lattice System}, Journal of Statistical Physics, volume~\-122, issue~\-4, pages~\-761-786, 2006,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/s10955-005-8085-8}{10.1007/s10955-005-8085-8}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/math/0503222}{math/0503222}}.\par\medskip + +\bibitem[IK15]{IK15}M. Isobe, W. Krauth - {\it Hard-sphere melting and crystallization with event-chain Monte Carlo}, The Journal of Chemical Physics, volume~\-143, number~\-084509, 2015,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1063/1.4929529}{10.1063/1.4929529}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/1505.07896}{1505.07896}}.\par\medskip + +\bibitem[JL17]{JL17b}I. Jauslin, J.L. Lebowitz - {\it High-fugacity expansion, Lee-Yang zeros and order-disorder transitions in hard-core lattice systems}, 2017,\par\penalty10000 +arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/1708.01912}{1708.01912}}.\par\medskip + +\bibitem[JL17b]{JL17c}I. Jauslin, E.H. Lieb - {\it Nematic liquid crystal phase in a system of interacting dimers and monomers}, 2017,\par\penalty10000 +arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/1709.05297}{1709.05297}}.\par\medskip + +\bibitem[Ka02]{Ka02}H.\-~Kamerlingh Onnes - {\it Expression of the equation of state of gases and liquids by means of series}, KNAW, Proceedings, 4, p.\-~125-147, 1902.\par\medskip + +\bibitem[KP84]{KP84}R. Koteck\'y, D. Preiss - {\it An inductive approach to the Pirogov-Sinai theory}, Proceedings of the~\-11th Winter School on Abstract Analysis, Rendiconti del Circolo Matematico di Palermo, Serie II, supplemento~\-3, pages~\-161-164, 1984.\par\medskip + +\bibitem[KP86]{KP86}R. Koteck\'y, D. Preiss - {\it Cluster expansion for abstract polymer models}, Communications in Mathematical Physics, volume~\-103, issue~\-3, pages~\-491-498, 1986,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/BF01211762}{10.1007/BF01211762}}.\par\medskip + +\bibitem[LP66]{LP66}J.L. Lebowitz, O. Penrose - {\it Rigorous Treatment of the Van Der Waals‐Maxwell Theory of the Liquid‐Vapor Transition}, Journal of Mathematical Physics, volume~\-7, issue~\-1, pages~\-98-113, 1966,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1063/1.1704821}{10.1063/1.1704821}}.\par\medskip + +\bibitem[Ma75]{Ma75}J. Clerk-Maxwell - {\it On the Dynamical Evidence of the Molecular Constitution of Bodies}, Nature, volume~\-11 , pages~\-357-359, 1875,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1038/011357a0}{10.1038/011357a0}}.\par\medskip + +\bibitem[Ma37]{Ma37}J.E. Mayer - {\it The Statistical Mechanics of Condensing Systems. I}, The Journal of Chemical Physics, volume~\-5, issue~\-67, pages~\-67-73, 1937,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1063/1.1749933}{10.1063/1.1749933}}.\par\medskip + +\bibitem[On49]{On49}L. Onsager - {\it The effects of shape on the interaction of colloidal particles}, Annals of the New York Academy of Sciences, volume~\-51, pages~\-627-659, 1949,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1111/j.1749-6632.1949.tb27296.x}{10.1111/j.1749-6632.1949.tb27296.x}}.\par\medskip + +\bibitem[PCF14]{PCF14}S. Papanikolaou, D. Charrier, E. Fradkin - {\it Ising nematic fluid phase of hard-core dimers on the square lattice}, Physical Review B, volume~\-89, page~\-035128, 2014,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRevB.89.035128}{10.1103/PhysRevB.89.035128}}, arxiv:{\tt\color{blue}\href{http://arxiv.org/abs/1310.4173}{1310.4173}}.\par\medskip + +\bibitem[Pe63]{Pe63}O. Penrose - {\it Convergence of Fugacity Expansions for Fluids and Lattice Gases}, Journal of Mathematical Physics, volume~\-4, issue~\-10, pages~\-1312-1320, 1963,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1063/1.1703906}{10.1063/1.1703906}}.\par\medskip + +\bibitem[PS75]{PS75}S.A. Pirogov, Y.G. Sinai - {\it Phase diagrams of classical lattice systems}, Theoretical and Mathematical Physics, volume~\-25, pages~\-1185-1192, 1975,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/BF01040127}{10.1007/BF01040127}}.\par\medskip + +\bibitem[Ru63]{Ru63}D. Ruelle - {\it Correlation functions of classical gases}, Annals of Physics, volume~\-25, issue~\-1, pages~\-109-120, 1963,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1016/0003-4916(63)90336-1}{10.1016/0003-4916(63)90336-1}}.\par\medskip + +\bibitem[Ru71]{Ru71}D. Ruelle - {\it Existence of a phase transition in a continuous classical system}, Physical Review Letters, volume~\-27, issue~\-16, pages~\-1040-1041, 1971,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRevLett.27.1040}{10.1103/PhysRevLett.27.1040}}.\par\medskip + +\bibitem[Ru99]{Ru99}D. Ruelle - {\it Statistical mechanics: rigorous results}, Imperial College Press, World Scientific, (first edition: Benjamin, 1969), 1999.\par\medskip + +\bibitem[Ur27]{Ur27}H.D. Ursell - {\it The evaluation of Gibbs' phase-integral for imperfect gases}, Mathematical Proceedings of the Cambridge Philosophical Society, volume~\-23, issue~\-6, pages~\-685-697, 1927,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1017/S0305004100011191}{10.1017/S0305004100011191}}.\par\medskip + +\bibitem[WR70]{WR70}B. Widom, J.S. Rowlinson - {\it New Model for the Study of Liquid–Vapor Phase Transitions}, The Journal of Chemical Physics, volume~\-52, pages~\-1670-1684, 1970,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1063/1.1673203}{10.1063/1.1673203}}.\par\medskip + +\bibitem[WJ57]{WJ57}W.W. Wood, J.D. Jacobson - {\it Preliminary results from a recalculation of the Monte Carlo equation of state of hard spheres}, The Journal of Chemical Physics, volume~\-27, issue~\-5, pages~\-1207-1208, 1957,\par\penalty10000 +doi:{\tt\color{blue}\href{http://dx.doi.org/10.1063/1.1743956}{10.1063/1.1743956}}.\par\medskip + |