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O. Frostman, Potentiel d’équilibre et capacité des ensembles avec quelques applications à la théorie des fonctions. Meddelanden Mat. Sem. Univ. Lund 3
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L. Onsager, Electrostatic interaction of molecules, J. Phys. Chem
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R. A. Rankin, A minimum problem for the Epstein zeta function,. Proc. Glasgow Math. Assoc, 1
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E. Wigner, Characteristic vectors of bordered matrices with infinite dimensions, Ann. Math
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A. Abrikosov, On the magnetic properties of superconductors of the second type. Soviet Phys. JETP 5
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J. W. S. Cassels, On a problem of Rankin about the Epstein zeta-function. Proc. Glasgow Math. Assoc
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A. Lenard, Exact statistical mechanics of a one-dimensional system with Coulomb forces. J. Math. Phys
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F. Dyson, Statistical theory of the energy levels of a complex system. Part I, J. Math. Phys
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A. Lenard, Exact statistical mechanics of a one-dimensional system with Coulomb forces. III. Statistics of the electric field, J. Math. Phys
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P. H. Diananda, Notes on two lemmas concerning the Epstein zeta-function. Proc. Glasgow Math. Assoc
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V. Ennola, A remark about the Epstein zeta function. Proc Glasg Math Assoc
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V. Ennola, On a problem about the Epstein zeta-function. Proc. Cambridge Philos. Soc
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J. Ginibre, Statistical ensembles of complex, quaternion, and real matrices. J. Math. Phys
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V. L. Ginzburg, L. D. Landau, Collected papers of L.D.Landau
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S. G. Brush, H.L. Sahlin, E. Teller, Monte-Carlo study of a one-component plasma, J. Chem. Phys
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P. G. DeGennes, Superconductivity of metal and alloys. Benjamin, New York and Amsterdam, 1966
1966
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H. J. Landau, Necessary density conditions for sampling and interpolation of certain entire functions, Acta Math
1967
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D. Saint-James, G. Sarma, E. J. Thomas, Type-II superconductivity. Pergamon Press, Oxford, 1969
1969
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H. Brezis, Problèmes unilatéraux. Jour. Math. Pures Appl. (9)
1972
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J. Frehse, On the regularity of the solution of a second order variational inequality. Boll. Un. Mat. Ital. (4)
1972
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O. Penrose, E.R. Smith, Thermodynamic Limit for Classical Systems with Coulomb Interactions in a Constant External Field, Comm. Math. Phys
1972
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H. Kunz, The One-Dimensional Classical Electron Gas, Ann. Phys
1974
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H. J. Brascamp, E. H. Lieb, In: Functional integration and its applications,
1975
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E. H. Lieb, H. Narnhofer, The thermodynamic limit for jellium. J. Statist. Phys
1975
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D. G. Schaeffer, A stability theorem for the Obstacle Problem, Adv. in Math
1975
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V. Isakov, Inverse theorems on the smoothness of potentials, Diff. Eq
1976
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R. Sari, D. Merlini, On the ν \nu -dimensional one-component classical plasma: the thermodynamic limit problem revisited. J. Statist. Phys
1976
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D. Kinderlehrer, L. Nirenberg, Regularity in free boundary problems, Ann. Sc. Norm. Sup. Pisa
1977
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M. Aizenman, P. Martin, Structure of Gibbs States of one Dimensional Coulomb Systems, Commun. Math. Phys
1980
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L. Caffarelli, D. Kinderlehrer, Potential methods in variational inequalities. J. Anal. Math
1980
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A. Jaffe, C. Taubes, Vortices and monopoles
1980
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B. Plohr, The existence, regularity, and behaviour at infinity of isotropic solutions of classical gauge field theories. Doctoral Dissertation, Princeton University, 1980
1980
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A. Alastuey, B. Jancovici, On the classical two-dimensional one-component Coulomb plasma. J. Physique
1981
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M. E. Becker, Multiparameter groups of measure-preserving transformations: a simple proof of Wiener’s ergodic theorem. Ann Probab
1981
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E. H. Lieb, S. Oxford, Improved lower bound on the indirect Coulomb energy, Int. J. Quant. Chem
1981
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Plohr, B. The Behavior at Infinity of Isotropic Vortices and Monopoles B. Plohr, J. Math. Phys
1981
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The ground state for soft disks
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M. Sakai, Quadrature domains
1982
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V. L. Girko, Circle law. Theory Probab. Appl
1984
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K. Huang, Statistical Mechanics
1987
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S. Lang, Elliptic functions
1987
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A. Friedman, Variational principles and free-boundary problems
1988
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H. L. Montgomery, Minimal Theta functions. Glasgow Math J
1988
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B. Osgood, R. Philipps, P. Sarnak, Extremal of determinants of Laplacians, J. Func. Anal
1988
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Berger, M. S.; Chen, Y. Y. Symmetric vortices for the nonlinear Ginzburg-Landau of superconductivity, and the nonlinear desingularization phenomenon. J. Funct. Anal
1989
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L.C. Evans, Weak convergence methods for nonlinear partial differential equations
1990
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E. Caglioti, P. L. Lions, C. Marchioro, M. Pulvirenti, A Special Class of Stationary Flows for Two-Dimensional Euler Equations: A Statistical Mechanics Description. Comm. Math. Phys
1992
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Q. Du, M. Gunzburger, J. S. Peterson, Analysis and approximation of the Ginzburg-Landau model of superconductivity. SIAM Rev
1992
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L. C. Evans, R. Gariepy, Measure theory and fine properties of functions,
1992
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G. Dal Maso, An introduction to Γ \Gamma -convergence
1993
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B. Jancovici, J. Lebowitz, G. Manificat, Large charge fluctuations in classical Coulomb systems. J. Statist. Phys
1993
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M. K. Kiessling, Statistical mechanics of classical particles with logarithmic interactions. Comm. Pure Appl. Math
1993
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F. Bethuel, H. Brezis, F. Hélein, Ginzburg-Landau Vortices
1994
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F. Bethuel, T. Rivière, Vorticité dans les modèles de Ginzburg-Landau pour la supraconductivité, Séminaire sur les équations aux Dérivées Partielles, 1993–1994
1994
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S. J. Chapman, Nucleation of superconductivity in decreasing fields. Eur. J. Appl. Math
1994
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P. Di Francesco, M. Gaudin, C. Itzykson, F. Lesage, Laughlin’s wave functions, Coulomb gases and expansions of the discriminant. Internat. J. Modern Phys. A
1994
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R. M. Hervé, M. Hervé, Étude qualitative des solutions réelles d’une équation différentielle liée à l’équation de Ginzburg-Landau. Ann. Inst. H. Poincaré Anal. Non Linéaire
1994
Cited alongside, same era.
F. Bethuel, T. Rivière, Vortices for a variational problem related to superconductivity. Ann. Inst. H. Poincaré Anal. Non Linéaire
1995
Cited alongside, same era.
H. Brezis, L. Nirenberg, Degree theory and BMO. I: Compact manifolds without boundaries. Selecta Math. (N.S)
1995
Cited alongside, same era.
Z. C. Han, I. Shafrir, Lower bounds for the energy of S 1 S^{1} -valued maps in perforated domains. J. Anal. Math
1995
Cited alongside, same era.
B. Jancovici, Classical Coulomb systems: screening and correlations revisited. J. Statist. Phys
1995
Cited alongside, same era.
S. Fournais, B. Helffer, On the third critical field in Ginzburg-Landau theory. Comm. Math. Phys
2006
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M. Krishnapur, Overcrowding estimates for zeroes of planar and hyperbolic Gaussian analytic functions. J. Stat. Phys
2006
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E. H. Lieb, R. Seiringer, Derivation of the Gross-Pitaevskii equation for rotating Bose gases, Comm. Math. Phys
2006
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P. Sarnak, A. Strömbergsson, Minima of Epstein’s zeta function and heights of flat tori, Invent. Math
2006
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F. Theil, A proof of crystallization in two dimensions. Comm. Math. Phys
2006
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L. Caffarelli, L. Silvestre, An extension problem related to the fractional Laplacian. Comm. PDE
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H. Brezis, L. Nirenberg, Degree theory and BMO. II. Compact manifolds with boundaries. With an appendix by the authors and Petru Mironescu. Selecta Math. (N.S.)
1996
Cited alongside, same era.
M. Comte, P. Mironescu, The behavior of a Ginzburg-Landau minimizer near its zeroes, Calc. Var. Partial Differential Equations
1996
Cited alongside, same era.
P. Mironescu, Les minimiseurs locaux pour l’équation de Ginzburg-Landau sont à symétrie radiale. C. R. Acad. Sci. Paris, Ser. I
1996
Cited alongside, same era.
T. Rivière, Line vortices in the 𝕌 ( 1 ) \mathbb{U}(1) -Higgs model. ESAIM Contr. Optim. Calc. Var
1996
Cited alongside, same era.
M. Tinkham, Introduction to superconductivity. Second edition. McGraw-Hill, New York, 1996
1996
Cited alongside, same era.
Z. D. Bai, Circular law. Ann. Probab
1997
Cited alongside, same era.
G. Ben Arous, A. Guionnet, Large deviations for Wigner’s law and Voiculescu’s non-commutative entropy, Probab. Theory Related Fields
1997
Cited alongside, same era.
2007
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X. Chen, Y. Oshita, An application of the modular function in nonlocal variational problems. Arch. Rat. Mech. Anal
2007
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H. Cohn, A. Kumar, Universally optimal distribution of points on spheres. J. Amer. Math. Soc
2007
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R. L. Jerrard, D. Spirn, Refined Jacobian estimates for Ginzburg-Landau functionals. Indiana Univ. Math. J
2007
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E. Sandier, S. Serfaty, Vortices in the Magnetic Ginzburg-Landau Model
2007
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L. Caffarelli, S. Salsa, L. Silvestre, Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian. Inventiones Mathematicae
2008
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F. Nazarov, M. Sodin, A. Volberg, The Jancovici-Lebowitz-Manificat law for large fluctuations of random complex zeroes. Comm. Math. Phys
2008
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B. Simon, The Christoffel-Darboux kernel, in “Perspectives in PDE, Harmonic Analysis and Applications," a volume in honor of V.G. Maz’ya’s 70th birthday, Proc. Symp. Pure Math
2008
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G. Alberti, R. Choksi, F. Otto, Uniform Energy Distribution for an Isoperimetric Problem With Long-range Interactions. Journal Amer. Math. Soc
2009
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A. Borodin, C. D. Sinclair, The Ginibre ensemble of real random matrices and its scaling limits. Comm. Math. Phys
2009
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P. Deift, D. Gioev, Random matrix theory: invariant ensembles and universality
2009
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L. Erdös, B. Schlein, H.T. Yau, Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices. Ann. Probab
2009
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A. L. Fetter, Rotating trapped Bose-Einstein condensates, Rev. Modern Phys
2009
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J. B. Hough, M. Krishnapur, Y. Peres, B. Virág, Zeros of Gaussian analytic functions and determinantal point processes,
2009
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R. L. Jerrard, P. Sternberg, Critical points via Γ \Gamma -convergence: general theory and applications. J. Eur. Math. Soc
2009
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B. Valkó, B. Virág, Continuum limits of random matrices and the Brownian carousel. Invent. Math
2009
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G. W. Anderson, A. Guionnet, O. Zeitouni, An introduction to random matrices
2010
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A. Dembo, O. Zeitouni, Large deviations techniques and applications,
2010
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P. J. Forrester, Log-gases and random matrices
2010
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S. Fournais, B. Helffer, Spectral Methods in Surface Superconductivity
2010
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E. H. Lieb, R. Seiringer, The stability of matter in quantum mechanics
2010
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G. Akemann, J. Baik, P. Di Francesco, The Oxford Handbook of Random Matrix Theory
2011
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Y. Ameur, H. Hedenmalm, N. Makarov, Fluctuations of eigenvalues of random normal matrices, Duke Math. J
2011
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A. Borodin, Determinantal point processes, in Oxford Handbook of Random Matrix Theory
2011
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E. Sandier, S. Serfaty, Improved Lower Bounds for Ginzburg-Landau Energies via Mass Displacement, Analysis & PDE
2011
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M. Shcherbina, Orthogonal and symplectic matrix models: universality and other properties, Comm. Math. Phys
2011
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Y. Ameur, J. Ortega-Cerdà, Beurling-Landau densities of weighted Fekete sets and correlation kernel estimates, J. Funct. Anal
2012
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P. Bourgade, L. Erdös, H. T. Yau, Bulk Universality of General β \beta -ensembles with non-convex potential. J. Math. Phys
2012
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J. S. Brauchart, D. P. Hardin, E. B. Saff, The next order term for optimal Riesz and logarithmic energy asymptotics on the sphere. Recent advances in orthogonal polynomials, special functions, and their applications, 31–61
2012
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R. Frank, C. Hainzl, R. Seiringer, J. P. Solovej, Microscopic derivation of Ginzburg-Landau theory. J. Amer. Math. Soc
2012
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A. Hardy, A Note on Large Deviations for 2D Coulomb Gas with Weakly Confining Potential, Electron. Commun. Probab
2012
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E. Sandier, S. Serfaty, From the Ginzburg-Landau model to vortex lattice problems, Comm. Math. Phys
2012
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S. Serfaty, I. Tice, Lorentz Space Estimates for the Coulombian Renormalized Energy, Commun. Contemp. Math
2012
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S. Baldo, R. Jerrard, G. Orlandi, H.M. Soner, Vortex Density Models for Superconductivity and Superfluidity. Comm. Math. Phys
2013
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2013
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A. Borodin, S. Serfaty, Renormalized Energy Concentration in Random Matrices, Comm. Math. Phys
2013
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G. Borot, A. Guionnet, Asymptotic expansion of β \beta matrix models in the one-cut regime. Comm. Math. Phys
2013
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G. Borot, A. Guionnet, Asymptotic expansion of β \beta matrix models in the multi-cut regime. Comm. Math. Phys
2013
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M. Correggi, F. Pinsker, N. Rougerie, J. Yngvason, Vortex phases of rotating superfluids, Journal of Physics: Conference Series
2013
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D. Goldman, C. Muratov, S. Serfaty, The Gamma-limit of the two-dimensional Ohta-Kawasaki energy. I. Droplet density, Arch. Rat. Mech. Anal
2013
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J. P. Hansen, R. McDonald, Theory of Simple Liquids
2013
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H. Hedenmalm, N. Makarov, Coulomb gas ensembles and Laplacian growth, Proc. London Math Soc
2013
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N. Rougerie, S. Serfaty, J. Yngvason, Quantum Hall states of bosons in rotating anharmonic traps, Physical Review A
2013
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M. Shcherbina, Fluctuations of linear eigenvalue statistics of β \beta matrix models in the multi-cut regime. J. Stat. Phys
2013
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S. N. Armstrong, S. Serfaty, O. Zeitouni, Remarks on a constrained optimization problem for the Ginibre ensemble, Potential Anal
2014
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P. Bourgade, L. Erdös, H.-T. Yau, Universality of general β \beta -ensembles, Duke Math. J
2014
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P. Bourgade, H. T. Yau, J. Yin, Local Circular Law for Random Matrices, to appear in Prob. Theor. Rel. Fields
2014
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D. Bourne, M. Peletier, F. Theil, Optimality of the triangular lattice for a particle system with Wasserstein interaction, Comm. Math. Phys
2014
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A. Braides, Local minimization, variational evolution and Γ \Gamma -convergence
2014
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D. Chafaï, N. Gozlan, P-A. Zitt, First order global asymptotics for for confined particles with singular pair repulsion. Ann. Appl. Probab
2014
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D. Goldman, C. Muratov, S. Serfaty, The Gamma-limit of the two-dimensional Ohta-Kawasaki energy. II. Droplet arrangement via the renormalized energy, Arch. Rat. Mech. Anal
2014
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P. J. Grabner, Point sets of minimal energy. In Applications of Algebra and Number Theory (Lectures on the Occasion of Harald Niederreiter’s 70th Birthday)
2014
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N. Rougerie, S. Serfaty, J. Yngvason, Quantum Hall phases and plasma analogy in rotating trapped Bose gases, J. Stat. Phys
2014
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