-
1
-
-
0033244830
-
Its, A. Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model
-
Bleher, P.; Its, A. Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model. Ann. of Math. (2) 150 (1999), no. 1, 185-266.
-
(1999)
Ann. of Math. (2)
, vol.150
, Issue.1
, pp. 185-266
-
-
Bleher, P.1
-
2
-
-
21844525907
-
On the statistical mechanics approach in the random matrix theory: Integrated density of states
-
Boulet de Monvel, A.; Pastur, L.; Shcherbina, M. On the statistical mechanics approach in the random matrix theory: integrated density of states. J. Statist. Phys. 79 (1995), no. 3-4, 585-611.
-
(1995)
J. Statist. Phys.
, vol.79
, Issue.3-4
, pp. 585-611
-
-
Boulet De Monvel, A.1
Pastur, L.2
Shcherbina, M.3
-
3
-
-
0001765880
-
Families of equilibrium measures in an external field on the real axis
-
Buyarov, V. S.; Rakhmanov, E. A. Families of equilibrium measures in an external field on the real axis. Mat. Sb. 190 (1999), no. 6, 11-22. English translation in Sb. Math. 190 (1999), no. 6, 791-802.
-
(1999)
Mat. Sb.
, vol.190
, Issue.6
, pp. 11-22
-
-
Buyarov, V.S.1
Rakhmanov, E.A.2
-
4
-
-
0033241008
-
-
English translation in
-
Buyarov, V. S.; Rakhmanov, E. A. Families of equilibrium measures in an external field on the real axis. Mat. Sb. 190 (1999), no. 6, 11-22. English translation in Sb. Math. 190 (1999), no. 6, 791-802.
-
(1999)
Sb. Math.
, vol.190
, Issue.6
, pp. 791-802
-
-
-
5
-
-
22844454647
-
The support of the equilibrium measure in the presence of a monomial external field on [-1,1]
-
Damelin, S. B.; Kuijlaars, A. B. J. The support of the equilibrium measure in the presence of a monomial external field on [-1,1]. Trans. Amer. Math. Soc. 351 (1999), no. 11, 4561-4584.
-
(1999)
Trans. Amer. Math. Soc.
, vol.351
, Issue.11
, pp. 4561-4584
-
-
Damelin, S.B.1
Kuijlaars, A.B.J.2
-
6
-
-
0000743268
-
New results on the equilibrium measure for logarithmic potentials in the presence of an external field
-
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T-R. New results on the equilibrium measure for logarithmic potentials in the presence of an external field. J. Approx. Theory 95 (1998), no. 3, 388-475.
-
(1998)
J. Approx. Theory
, vol.95
, Issue.3
, pp. 388-475
-
-
Deift, P.1
Kriecherbauer, T.2
McLaughlin, K.T.-R.3
-
7
-
-
1842689760
-
Asymptotics for polynomials orthogonal with respect to varying exponential weights
-
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T-R; Venakides, S.; Zhou, X. Asymptotics for polynomials orthogonal with respect to varying exponential weights. Internat. Math. Res. Notices 1997, no. 16, 759-782.
-
Internat. Math. Res. Notices
, vol.1997
, Issue.16
, pp. 759-782
-
-
Deift, P.1
Kriecherbauer, T.2
McLaughlin, K.T.-R.3
Venakides, S.4
Zhou, X.5
-
8
-
-
0033459230
-
Strong asymptotics of orthogonal polynomials with respect to exponential weights
-
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T-R; Venakides, S.; Zhou, X. Strong asymptotics of orthogonal polynomials with respect to exponential weights. Comm. Pure Appl. Math. 52 (1999), no. 12, 1491-1552.
-
(1999)
Comm. Pure Appl. Math.
, vol.52
, Issue.12
, pp. 1491-1552
-
-
Deift, P.1
Kriecherbauer, T.2
McLaughlin, K.T.-R.3
Venakides, S.4
Zhou, X.5
-
9
-
-
0033440723
-
Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
-
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T-R; Venakides, S.; Zhou, X. Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory. Comm. Pure Appl. Math. 52 (1999), no. 11, 1335-1425.
-
(1999)
Comm. Pure Appl. Math.
, vol.52
, Issue.11
, pp. 1335-1425
-
-
Deift, P.1
Kriecherbauer, T.2
McLaughlin, K.T.-R.3
Venakides, S.4
Zhou, X.5
-
11
-
-
84980178052
-
Multiphase averaging and the inverse spectral solution of the Korteweg-de Vries equation
-
Flaschka, H.; Forest, M. G.; McLaughlin, D. W. Multiphase averaging and the inverse spectral solution of the Korteweg-de Vries equation. Comm. Pure Appl. Math. 33 (1980), no. 6, 739-784.
-
(1980)
Comm. Pure Appl. Math.
, vol.33
, Issue.6
, pp. 739-784
-
-
Flaschka, H.1
Forest, M.G.2
McLaughlin, D.W.3
-
12
-
-
0002863868
-
The equilibrium measure and distribution of zeros of extremal polynomials
-
167
-
Gonchar, A. A.; Rakhmanov, E. A. The equilibrium measure and distribution of zeros of extremal polynomials. (Russian) Mat. Sb. (N. S.) 125(167) (1984), no. 1(9), 117-127; translation in Math. USSR-Sb. 53 (1986), 119-130.
-
(1984)
Mat. Sb. (N. S.)
, vol.125
, Issue.1-9
, pp. 117-127
-
-
Gonchar, A.A.1
Rakhmanov, E.A.2
-
13
-
-
84956094024
-
-
translation in
-
Gonchar, A. A.; Rakhmanov, E. A. The equilibrium measure and distribution of zeros of extremal polynomials. (Russian) Mat. Sb. (N. S.) 125(167) (1984), no. 1(9), 117-127; translation in Math. USSR-Sb. 53 (1986), 119-130.
-
(1986)
Math. USSR-Sb.
, vol.53
, pp. 119-130
-
-
-
14
-
-
0000953038
-
The behavior of solutions of the NLS equation in the semiclassical limit
-
Singular limits of dispersive waves (Lyon, 1991), Plenum, New York
-
Jin, S.; Levermore, C. D.; McLaughlin, D. W. The behavior of solutions of the NLS equation in the semiclassical limit. Singular limits of dispersive waves (Lyon, 1991), 235-255, NATO Adv. Sci. Inst. Ser. B Phys., 320. Plenum, New York, 1994.
-
(1994)
NATO Adv. Sci. Inst. Ser. B Phys.
, vol.320
, pp. 235-255
-
-
Jin, S.1
Levermore, C.D.2
McLaughlin, D.W.3
-
15
-
-
0033438093
-
The semiclassical limit of the defocusing NLS hierarchy
-
Jin, S.; Levermore, C. D.; McLaughlin, D. W. The semiclassical limit of the defocusing NLS hierarchy. Comm. Pure Appl. Math. 52 (1999), no. 5, 613-654.
-
(1999)
Comm. Pure Appl. Math.
, vol.52
, Issue.5
, pp. 613-654
-
-
Jin, S.1
Levermore, C.D.2
McLaughlin, D.W.3
-
16
-
-
0001459956
-
On fluctuations of eigenvalues of random Hermitian matrices
-
Johansson, K. On fluctuations of eigenvalues of random Hermitian matrices. Duke Math. J. 91 (1998), no. 1, 151-204.
-
(1998)
Duke Math. J.
, vol.91
, Issue.1
, pp. 151-204
-
-
Johansson, K.1
-
17
-
-
0033249564
-
A note on the eigenvalue density of random matrices
-
Kiessling, M. K.-H.; Spohn, H. A note on the eigenvalue density of random matrices. Comm. Math. Phys. 199 (1999), no. 3, 683-695.
-
(1999)
Comm. Math. Phys.
, vol.199
, Issue.3
, pp. 683-695
-
-
Kiessling, M.K.-H.1
Spohn, H.2
-
18
-
-
0039564526
-
Extremal problems for logarithmic potentials
-
C. K. Chui and L. L. Schumaker, eds. Vanderbilt University Press, Nashville
-
Kuijlaars, A. B. J. Extremal problems for logarithmic potentials. Approximation theory IX, 201-222. C. K. Chui and L. L. Schumaker, eds. Vanderbilt University Press, Nashville, 1998.
-
(1998)
Approximation Theory
, vol.9
, pp. 201-222
-
-
Kuijlaars, A.B.J.1
-
19
-
-
22644450485
-
Equilibrium problems associated with fast decreasing polynomials
-
Kuijlaars, A. B. J.; Dragnev, P. D. Equilibrium problems associated with fast decreasing polynomials. Proc. Amer. Math. Soc. 127 (1999), no. 4, 1065-1074.
-
(1999)
Proc. Amer. Math. Soc.
, vol.127
, Issue.4
, pp. 1065-1074
-
-
Kuijlaars, A.B.J.1
Dragnev, P.D.2
-
20
-
-
84990575581
-
The small dispersion limit of the Korteweg-de Vries equation. I. II. III
-
Lax, P. D.; Levermore, C. D. The small dispersion limit of the Korteweg-de Vries equation. I. II. III. Comm. Pure Appl. Math. 36 (1983), no. 3, 253-290; 36 (1983), no. 5, 571-593; 36 (1983), no. 6, 809-829.
-
(1983)
Comm. Pure Appl. Math.
, vol.36
, Issue.3
, pp. 253-290
-
-
Lax, P.D.1
Levermore, C.D.2
-
21
-
-
84990602637
-
-
Lax, P. D.; Levermore, C. D. The small dispersion limit of the Korteweg-de Vries equation. I. II. III. Comm. Pure Appl. Math. 36 (1983), no. 3, 253-290; 36 (1983), no. 5, 571-593; 36 (1983), no. 6, 809-829.
-
(1983)
Comm. Pure Appl. Math.
, vol.36
, Issue.5
, pp. 571-593
-
-
-
22
-
-
84990587869
-
-
Lax, P. D.; Levermore, C. D. The small dispersion limit of the Korteweg-de Vries equation. I. II. III. Comm. Pure Appl. Math. 36 (1983), no. 3, 253-290; 36 (1983), no. 5, 571-593; 36 (1983), no. 6, 809-829.
-
(1983)
Comm. Pure Appl. Math.
, vol.36
, Issue.6
, pp. 809-829
-
-
-
23
-
-
0009156708
-
Strong asymptotics for extremal errors and polynomials associated with Erdös-type weights
-
Longman, Harlow; copublished in the United States with John Wiley, New York
-
Lubinsky, D. S. Strong asymptotics for extremal errors and polynomials associated with Erdös-type weights. Pitman Research Notes in Mathematics Series, 202. Longman, Harlow; copublished in the United States with John Wiley, New York, 1989.
-
(1989)
Pitman Research Notes in Mathematics Series
, pp. 202
-
-
Lubinsky, D.S.1
-
24
-
-
0001071858
-
An update on orthogonal polynomials and weighted approximation on the real line. Rational approximation theory
-
Lubinsky, D. S. An update on orthogonal polynomials and weighted approximation on the real line. Rational approximation theory. Acta Appl. Math. 33 (1993), no. 2-3, 121-164.
-
(1993)
Acta Appl. Math.
, vol.33
, Issue.2-3
, pp. 121-164
-
-
Lubinsky, D.S.1
-
25
-
-
0003302178
-
Strong asymptotics for extremal polynomials associated with weights on R
-
Springer, Berlin-New York
-
Lubinsky, D. S.; Saff, E. B. Strong asymptotics for extremal polynomials associated with weights on R. Lecture Notes in Mathematics, 1305. Springer, Berlin-New York, 1988.
-
(1988)
Lecture Notes in Mathematics
, pp. 1305
-
-
Lubinsky, D.S.1
Saff, E.B.2
-
27
-
-
84967754997
-
Extremal problems for polynomials with exponential weights
-
Mhaskar, H. N.; Saff, E. B. Extremal problems for polynomials with exponential weights. Trans. Amer. Math. Soc. 285 (1984), no. 1, 203-234.
-
(1984)
Trans. Amer. Math. Soc.
, vol.285
, Issue.1
, pp. 203-234
-
-
Mhaskar, H.N.1
Saff, E.B.2
-
28
-
-
0030684834
-
Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles
-
Pastur, L.; Shcherbina, M. Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles. J. Statist. Phys. 86 (1997), no. 1-2, 109-147.
-
(1997)
J. Statist. Phys.
, vol.86
, Issue.1-2
, pp. 109-147
-
-
Pastur, L.1
Shcherbina, M.2
-
29
-
-
0002048208
-
Asymptotic properties of orthogonal polynomials on the real axis
-
161
-
Rakhmanov, E. A. Asymptotic properties of orthogonal polynomials on the real axis. (Russian) Mat. Sb. (N.S.) 119(161) (1982), no. 2, 163-203, 303. English translation in Math. Sb. (N. S.) 47 (1984), 155-193.
-
(1982)
Mat. Sb. (N.S.)
, vol.119
, Issue.2
, pp. 163-203
-
-
Rakhmanov, E.A.1
-
30
-
-
0039631502
-
-
English translation in
-
Rakhmanov, E. A. Asymptotic properties of orthogonal polynomials on the real axis. (Russian) Mat. Sb. (N.S.) 119(161) (1982), no. 2, 163-203, 303. English translation in Math. Sb. (N. S.) 47 (1984), 155-193.
-
(1984)
Math. Sb. (N. S.)
, vol.47
, pp. 155-193
-
-
-
31
-
-
0002199842
-
Strong asymptotics for orthogonal polynomials
-
Methods of approximation theory in complex analysis and mathematical physics (Leningrad, 1991), Springer, Berlin
-
Rakhmanov, E. A. Strong asymptotics for orthogonal polynomials. Methods of approximation theory in complex analysis and mathematical physics (Leningrad, 1991), 71-97. Lecture Notes in Mathematics, 1550. Springer, Berlin, 1993.
-
(1993)
Lecture Notes in Mathematics
, vol.1550
, pp. 71-97
-
-
Rakhmanov, E.A.1
-
32
-
-
0003525517
-
-
London Mathematical Society Student Texts, 28. Cambridge University Press, Cambridge
-
Ransford, T. Potential theory in the complex plane. London Mathematical Society Student Texts, 28. Cambridge University Press, Cambridge, 1995.
-
(1995)
Potential Theory in the Complex Plane
-
-
Ransford, T.1
-
33
-
-
0003265660
-
Logarithmic potentials with external fields
-
Appendix B by Thomas Bloom. Grundlehren der Mathematischen Wissenschaften Springer, Berlin
-
Saff, E. B.; Totik, V. Logarithmic potentials with external fields. Appendix B by Thomas Bloom. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 316. Springer, Berlin, 1997.
-
(1997)
Fundamental Principles of Mathematical Sciences
, vol.316
-
-
Saff, E.B.1
Totik, V.2
-
35
-
-
0003256153
-
Weighted approximation with varying weight
-
Springer, Berlin
-
Totik, V. Weighted approximation with varying weight. Lecture Notes in Mathematics, 1569. Springer, Berlin, 1994.
-
(1994)
Lecture Notes in Mathematics
, vol.1569
-
-
Totik, V.1
-
36
-
-
27644532196
-
Level-spacing distributions and the Airy kernel
-
Tracy, C. A.; Widom, H. Level-spacing distributions and the Airy kernel. Comm. Math. Phys. 159 (1994), no. 1, 151-174.
-
(1994)
Comm. Math. Phys.
, vol.159
, Issue.1
, pp. 151-174
-
-
Tracy, C.A.1
Widom, H.2
-
37
-
-
84990586440
-
The Korteweg-de Vries equation with small dispersion: Higher order Lax-Levermore theory
-
Venakides, S. The Korteweg-de Vries equation with small dispersion: higher order Lax-Levermore theory. Comm. Pure Appl. Math. 43 (1990), no. 3, 335-361.
-
(1990)
Comm. Pure Appl. Math.
, vol.43
, Issue.3
, pp. 335-361
-
-
Venakides, S.1
|