Weakly admissible vector equilibrium problems
Tài liệu tham khảo
Aptekarev, 2011, Hermite–Padé approximations and multiple orthogonal polynomial ensembles, Uspekhi Mat. Nauk., 66, 123
Ash, 2007
Balogh, 2009, Regularity of a vector potential problem and its spectral curve, J. Approx. Theory, 161, 353, 10.1016/j.jat.2008.10.010
B. Beckermann, V. Kalyagin, A. Matos, F. Wielonsky, Equilibrium problems for vector potentials with semidefinite interaction matrices and constrained masses, Constr. Approx. (in press).
Bleher, 2011, Random matrix model with external source and a constrained vector equilibrium problem, Comm. Pure Appl. Math., 64, 116, 10.1002/cpa.20339
T. Bloom, Almost sure convergence for Angelesco ensembles, Preprint. arXiv:1101.3562.
Cegrell, 1998, Two problems on potential theory with unbounded sets, Math. Scand., 83, 265, 10.7146/math.scand.a-13855
S. Delvaux, Equilibrium problem for the eigenvalues of banded block Toeplitz matrices, Math. Nachr. (in press).
Delvaux, 2010, An equilibrium problem for the limiting eigenvalue distribution of rational Toeplitz matrices, SIAM J. Matrix Anal. Appl., 31, 1894, 10.1137/090778468
S. Delvaux, A.B.J. Kuijlaars, P. Román, L. Zhang, Non-intersecting squared Bessel paths with one positive starting and ending point, J. Anal. Math. (in press).
Dembo, 1998
Duits, 2011, A vector equilibrium problem for the two-matrix model in the quartic/quadratic case, Nonlinearity, 24, 951, 10.1088/0951-7715/24/3/012
Duits, 2008, An equilibrium problem for the limiting eigenvalue distribution of banded Toeplitz matrices, SIAM J. Matrix Anal. Appl., 30, 173, 10.1137/070687141
Duits, 2009, Universality in the two matrix model: a Riemann–Hilbert steepest descent analysis, Comm. Pure Appl. Math., 62, 1076, 10.1002/cpa.20269
Duits, 2012, The Hermitian two matrix model with an even quartic potential, Mem. Amer. Math. Soc., 217
Eichelsbacher, 2011, Large deviations for disordered bosons and multiple orthogonal polynomial ensembles, J. Math. Phys., 52, 073510, 10.1063/1.3603994
Gonchar, 1981, On convergence of simultaneous Padé approximants for systems of functions of Markov type, Trudy Mat. Inst. Steklov, 157, 31
Gonchar, 1985, On the equilibrium problem for vector potentials, Uspekhi Mat. Nauk, 40, 155
Gonchar, 1997, Hermite–Padé approximants for systems of Markov-type functions, Mat. Sb., 188, 33
A.B.J. Kuijlaars, Multiple orthogonal polynomials in random matrix theory, in: R. Bhatia (Ed.), Proceedings of the International Congress of Mathematicians, Volume III, Hyderabad, India, 2010, pp. 1417–1432.
Kuijlaars, 2009, Non-intersecting squared Bessel paths and multiple orthogonal polynomials for modified Bessel weights, Comm. Math. Phys., 286, 217, 10.1007/s00220-008-0652-9
Nikishin, 1991, vol. 92
Saff, 1997
Simeonov, 2005, A weighted energy problem for a class of admissible weights, Houston J. Math., 31, 1245