-
2
-
-
0035824491
-
Asymptotics of discrete orthogonal polynomials and the continuum limit of the Toda lattice
-
A. Aptekarev and W. Van Assche, "Asymptotics of discrete orthogonal polynomials and the continuum limit of the Toda lattice," J. Phys. A: Math Gen., 34, 10627-10637, 2001.
-
(2001)
J. Phys. A: Math Gen
, vol.34
, pp. 10627-10637
-
-
Aptekarev, A.1
Van Assche, W.2
-
3
-
-
33847187518
-
Riemann-Hilbert problems and random permutations,
-
Ph.D Thesis, Courant Institute of Mathematical Sciences, New York University
-
J. Baik, "Riemann-Hilbert problems and random permutations," Ph.D Thesis, Courant Institute of Mathematical Sciences, New York University, 1999.
-
(1999)
-
-
Baik, J.1
-
4
-
-
0033443150
-
On the distribution of the length of the longest increasing subsequence of random permutations
-
J. Baik, P. Deift, and K. Johansson, "On the distribution of the length of the longest increasing subsequence of random permutations," J. Amer. Math. Soc., 12, 1119-1178, 1999.
-
(1999)
J. Amer. Math. Soc
, vol.12
, pp. 1119-1178
-
-
Baik, J.1
Deift, P.2
Johansson, K.3
-
5
-
-
0038578323
-
Uniform asymptotics for polynomials orthogonal with respect to a general class of discrete weights and universality results for associated ensembles: Announcement of results
-
J. Baik, T. Kriecherbauer, K. D. T.-R. McLaughlin, and P. D. Miller, "Uniform asymptotics for polynomials orthogonal with respect to a general class of discrete weights and universality results for associated ensembles: announcement of results," Int. Math. Res. Not., 15, 821-858, 2003.
-
(2003)
Int. Math. Res. Not
, vol.15
, pp. 821-858
-
-
Baik, J.1
Kriecherbauer, T.2
McLaughlin, K.D.T.-R.3
Miller, P.D.4
-
6
-
-
0033244830
-
Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model
-
P. Bleher and A. Its, "Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model," Ann. of Math., 150, 185-266, 1999.
-
(1999)
Ann. of Math
, vol.150
, pp. 185-266
-
-
Bleher, P.1
Its, A.2
-
7
-
-
0037445183
-
Dispersionless Toda and Toeplitz operators
-
A. Bloch, F. Golse, T. Paul, and A. Uribe, "Dispersionless Toda and Toeplitz operators," Duke Math. J., 117, 157-196, 2003.
-
(2003)
Duke Math. J
, vol.117
, pp. 157-196
-
-
Bloch, A.1
Golse, F.2
Paul, T.3
Uribe, A.4
-
8
-
-
0346737796
-
Riemann-Hilbert problem and the discrete Bessel kernel
-
A. Borodin, "Riemann-Hilbert problem and the discrete Bessel kernel," Int. Math. Res. Not., 9, 467-494, 2000.
-
(2000)
Int. Math. Res. Not
, vol.9
, pp. 467-494
-
-
Borodin, A.1
-
9
-
-
0036390386
-
Duality of orthogonal polynomials on a finite set
-
A. Borodin, "Duality of orthogonal polynomials on a finite set," J. Statist. Phys., 109, 1109-1120, 2002.
-
(2002)
J. Statist. Phys
, vol.109
, pp. 1109-1120
-
-
Borodin, A.1
-
10
-
-
0038209546
-
Discrete gap probabilities and discrete Painlevé equations
-
A. Borodin, "Discrete gap probabilities and discrete Painlevé equations," Duke Math. J., 117, 489-542, 2003.
-
(2003)
Duke Math. J
, vol.117
, pp. 489-542
-
-
Borodin, A.1
-
11
-
-
0037343481
-
Distribution of the first particle in discrete orthogonal polynomial ensembles
-
A. Borodin and D. Boyarchenko, "Distribution of the first particle in discrete orthogonal polynomial ensembles," Comm. Math. Phys., 234, 287-338, 2003.
-
(2003)
Comm. Math. Phys
, vol.234
, pp. 287-338
-
-
Borodin, A.1
Boyarchenko, D.2
-
12
-
-
33847175324
-
-
A. Borodin and G. Olshanski, z-measures on partitions, Robinson-Schensted-Knuth correspondence, and β = 2 random matrix ensembles, in Random Matrix Models and Their Applications, Math. Sci. Res. Inst. Publ., 40, 71-94, Cambridge Univ. Press, Cambridge, 2001.
-
A. Borodin and G. Olshanski, "z-measures on partitions, Robinson-Schensted-Knuth correspondence, and β = 2 random matrix ensembles," in Random Matrix Models and Their Applications, Math. Sci. Res. Inst. Publ., 40, 71-94, Cambridge Univ. Press, Cambridge, 2001.
-
-
-
-
13
-
-
21644449975
-
Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes
-
A. Borodin and G. Olshanski, "Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes," Ann. of Math., 161, 1319-1422, 2005.
-
(2005)
Ann. of Math
, vol.161
, pp. 1319-1422
-
-
Borodin, A.1
Olshanski, G.2
-
14
-
-
0034390399
-
Asymptotics of Plancherel measures for symmetric groups
-
A. Borodin, A. Okounkov, and G. Olshanski, "Asymptotics of Plancherel measures for symmetric groups," J. Amer. Math. Soc., 13, 481-515, 2000.
-
(2000)
J. Amer. Math. Soc
, vol.13
, pp. 481-515
-
-
Borodin, A.1
Okounkov, A.2
Olshanski, G.3
-
15
-
-
0001580766
-
The shape of a typical boxed plane partition
-
H. Cohn, M. Larsen, and J. Propp, "The shape of a typical boxed plane partition," New York J. Math., 4, 137-165, 1998.
-
(1998)
New York J. Math
, vol.4
, pp. 137-165
-
-
Cohn, H.1
Larsen, M.2
Propp, J.3
-
17
-
-
0004276254
-
-
Prentice-Hall, Englewood Cliffs
-
G. Dahlquist, A. Björck, and N. Anderson, Numerical Methods, Prentice-Hall, Englewood Cliffs, 1974.
-
(1974)
Numerical Methods
-
-
Dahlquist, G.1
Björck, A.2
Anderson, N.3
-
18
-
-
0003346458
-
Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach
-
Courant Institute of Mathematical Sciences, New York
-
P. Deift, Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach, Courant Lecture Notes in Mathematics, 3, Courant Institute of Mathematical Sciences, New York, 1999.
-
(1999)
Courant Lecture Notes in Mathematics
, vol.3
-
-
Deift, P.1
-
19
-
-
0030539847
-
The Toda rarefaction problem
-
P. Deift, S. Kamvissis, T. Kriecherbauer, and X. Zhou, "The Toda rarefaction problem," Comm. Pure Appl. Math., 49, 35-83, 1996.
-
(1996)
Comm. Pure Appl. Math
, vol.49
, pp. 35-83
-
-
Deift, P.1
Kamvissis, S.2
Kriecherbauer, T.3
Zhou, X.4
-
20
-
-
0000743268
-
New results on the equilibrium measure for logarithmic potentials in the presence of an external field
-
P. Deift, T. Kriecherbauer, and K. T.-R. McLaughlin, "New results on the equilibrium measure for logarithmic potentials in the presence of an external field," J. Approx. Theory, 95, 388-475, 1998.
-
(1998)
J. Approx. Theory
, vol.95
, pp. 388-475
-
-
Deift, P.1
Kriecherbauer, T.2
McLaughlin, K.T.-R.3
-
21
-
-
0033459230
-
Strong asymptotics of orthogonal polynomials with respect to exponential weights
-
P. Deift, T. Kriecherbauer, K. T.-R. McLaughlin, S. Venakides, and X. Zhou, "Strong asymptotics of orthogonal polynomials with respect to exponential weights," Comm. Pure Appl. Math., 52, 1491-1552, 1999.
-
(1999)
Comm. Pure Appl. Math
, vol.52
, pp. 1491-1552
-
-
Deift, P.1
Kriecherbauer, T.2
McLaughlin, K.T.-R.3
Venakides, S.4
Zhou, X.5
-
22
-
-
0033440723
-
Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
-
P. Deift, T. Kriecherbauer, K. T.-R. McLaughlin, S. Venakides, and X. Zhou, "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, 1335-1425, 1999.
-
(1999)
Comm. Pure Appl. Math
, vol.52
, pp. 1335-1425
-
-
Deift, P.1
Kriecherbauer, T.2
McLaughlin, K.T.-R.3
Venakides, S.4
Zhou, X.5
-
24
-
-
1842665167
-
New results in small dispersion KdV by an extension of the steepest-descent method for Riemann-Hilbert problems
-
P. Deift, S. Venakides, and X. Zhou, "New results in small dispersion KdV by an extension of the steepest-descent method for Riemann-Hilbert problems," Int. Math. Res. Not., 6, 286-299, 1997.
-
(1997)
Int. Math. Res. Not
, vol.6
, pp. 286-299
-
-
Deift, P.1
Venakides, S.2
Zhou, X.3
-
25
-
-
0001525213
-
A steepest-descent method for oscillatory Riemann-Hilbert problems: Asymptotics for the mKdV equation
-
P. Deift and X. Zhou, "A steepest-descent method for oscillatory Riemann-Hilbert problems: asymptotics for the mKdV equation," Ann. of Math., 137, 295-368, 1993.
-
(1993)
Ann. of Math
, vol.137
, pp. 295-368
-
-
Deift, P.1
Zhou, X.2
-
26
-
-
84990647031
-
Asymptotics for the Painlevé II equation
-
P. Deift and X. Zhou, "Asymptotics for the Painlevé II equation," Comm. Pure Appl. Math., 48, 277-337, 1995.
-
(1995)
Comm. Pure Appl. Math
, vol.48
, pp. 277-337
-
-
Deift, P.1
Zhou, X.2
-
27
-
-
0000614428
-
Constrained energy problems with applications to orthogonal polynomials of a discrete variable
-
P. D. Dragnev and E. B. Saff, "Constrained energy problems with applications to orthogonal polynomials of a discrete variable," J. d'Analyse Math., 72, 223-259, 1997.
-
(1997)
J. d'Analyse Math
, vol.72
, pp. 223-259
-
-
Dragnev, P.D.1
Saff, E.B.2
-
28
-
-
0001282264
-
A problem in potential theory and zero asymptotics of Krawtchouk polynomials
-
P. D. Dragnev and E. B. Saff, "A problem in potential theory and zero asymptotics of Krawtchouk polynomials," J. Approx. Theory, 102, 120-140, 2000.
-
(2000)
J. Approx. Theory
, vol.102
, pp. 120-140
-
-
Dragnev, P.D.1
Saff, E.B.2
-
29
-
-
0345862213
-
Step fluctuations for a faceted crystal
-
P. Ferrari and H. Spohn, "Step fluctuations for a faceted crystal," J. Statist. Phys., 113, 1-46, 2003.
-
(2003)
J. Statist. Phys
, vol.113
, pp. 1-46
-
-
Ferrari, P.1
Spohn, H.2
-
30
-
-
0000533283
-
Discrete Painlevé equations and their appearance in quantum gravity
-
A. S. Fokas, A. R. Its, and A. V. Kitaev, "Discrete Painlevé equations and their appearance in quantum gravity," Comm. Math. Phys., 142, 313-344, 1991.
-
(1991)
Comm. Math. Phys
, vol.142
, pp. 313-344
-
-
Fokas, A.S.1
Its, A.R.2
Kitaev, A.V.3
-
31
-
-
0032294916
-
Strong asymptotics for Krawtchouk polynomials
-
M. E. H. Ismail and P. Simeonov, "Strong asymptotics for Krawtchouk polynomials," J. Comput. Appl. Math., 100, 121-144, 1998.
-
(1998)
J. Comput. Appl. Math
, vol.100
, pp. 121-144
-
-
Ismail, M.E.H.1
Simeonov, P.2
-
32
-
-
0034340689
-
Shape fluctuations and random matrices
-
K. Johansson, "Shape fluctuations and random matrices," Comm. Math. Phys., 209, 437-476, 2000.
-
(2000)
Comm. Math. Phys
, vol.209
, pp. 437-476
-
-
Johansson, K.1
-
33
-
-
0035626398
-
Discrete orthogonal polynomial ensembles and the Plancherel measure
-
K. Johansson, "Discrete orthogonal polynomial ensembles and the Plancherel measure," Ann. of Math., 153, 259-296, 2001.
-
(2001)
Ann. of Math
, vol.153
, pp. 259-296
-
-
Johansson, K.1
-
34
-
-
0036628218
-
Non-intersecting paths, random tilings and random matrices
-
K. Johansson, "Non-intersecting paths, random tilings and random matrices," Probab. Theory Related Fields, 123, 225-280, 2002.
-
(2002)
Probab. Theory Related Fields
, vol.123
, pp. 225-280
-
-
Johansson, K.1
-
35
-
-
85009055469
-
Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrödinger Equation
-
Princeton University Press, Princeton
-
S. Kamvissis, K. T.-R. McLaughlin, and P. D. Miller, Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrödinger Equation, Annals of Mathematics Studies series, volume 154, Princeton University Press, Princeton, 2003.
-
(2003)
Annals of Mathematics Studies series
, vol.154
-
-
Kamvissis, S.1
McLaughlin, K.T.-R.2
Miller, P.D.3
-
36
-
-
0034664307
-
On the finite-gap ansatz in the continuum limit of the Toda lattice
-
A. B. J. Kuijlaars, "On the finite-gap ansatz in the continuum limit of the Toda lattice," Duke Math. J., 104, 433-462, 2000.
-
(2000)
Duke Math. J
, vol.104
, pp. 433-462
-
-
Kuijlaars, A.B.J.1
-
37
-
-
0034398875
-
Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields
-
A. B. J. Kuijlaars and K. T.-R. McLaughlin, "Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields," Comm. Pure Appl. Math., 53, 736-785, 2000.
-
(2000)
Comm. Pure Appl. Math
, vol.53
, pp. 736-785
-
-
Kuijlaars, A.B.J.1
McLaughlin, K.T.-R.2
-
39
-
-
0032207940
-
Zero distributions for discrete orthogonal polynomials
-
A. B. J. Kuijlaars and E. A. Rakhmanov, "Zero distributions for discrete orthogonal polynomials," J. Comput. Appl. Math., 99, 255-274, 1998.
-
(1998)
J. Comput. Appl. Math
, vol.99
, pp. 255-274
-
-
Kuijlaars, A.B.J.1
Rakhmanov, E.A.2
-
40
-
-
0001114597
-
The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients
-
A. B. J. Kuijlaars and W. Van Assche, "The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients," J. Approx. Theory, 99, 167-197, 1999.
-
(1999)
J. Approx. Theory
, vol.99
, pp. 167-197
-
-
Kuijlaars, A.B.J.1
Van Assche, W.2
-
42
-
-
0004163930
-
-
Second edition, Academic Press, Boston
-
M. L. Mehta, Random Matrices, Second edition, Academic Press, Boston, 1991.
-
(1991)
Random Matrices
-
-
Mehta, M.L.1
-
43
-
-
0036335780
-
Asymptotics of semiclassical soliton ensembles: Rigorous justification of the WKB approximation
-
P. D. Miller, "Asymptotics of semiclassical soliton ensembles: rigorous justification of the WKB approximation," Int. Math. Res. Not., 8, 383-454, 2002.
-
(2002)
Int. Math. Res. Not
, vol.8
, pp. 383-454
-
-
Miller, P.D.1
-
44
-
-
0000216497
-
Modal expansions and completeness relations for some time-dependent Schrödinger equations
-
P. D. Miller and N. N. Akhmediev, "Modal expansions and completeness relations for some time-dependent Schrödinger equations," Physica D, 123, 513-524, 1998.
-
(1998)
Physica D
, vol.123
, pp. 513-524
-
-
Miller, P.D.1
Akhmediev, N.N.2
-
45
-
-
0036045704
-
An exactly solvable model for the interaction of linear waves with Korteweg-de Vries solitons
-
P. D. Miller and S. R. Clarke, "An exactly solvable model for the interaction of linear waves with Korteweg-de Vries solitons," SIAM J. Math. Anal., 33, 261-285, 2001.
-
(2001)
SIAM J. Math. Anal
, vol.33
, pp. 261-285
-
-
Miller, P.D.1
Clarke, S.R.2
-
46
-
-
0003674259
-
Classical Orthogonal Polynomials of a Discrete Variable
-
Springer Verlag, Berlin
-
A. F. Nikiforov, S. K. Suslov, and V. B. Uvarov, Classical Orthogonal Polynomials of a Discrete Variable, Springer Series in Computational Physics, Springer Verlag, Berlin, 1991.
-
(1991)
Springer Series in Computational Physics
-
-
Nikiforov, A.F.1
Suslov, S.K.2
Uvarov, V.B.3
-
47
-
-
0003377901
-
Infinite wedge and random partitions
-
A. Okounkov, "Infinite wedge and random partitions," Selecta Math. (N.S.), 7, 57-81, 2001.
-
(2001)
Selecta Math. (N.S.)
, vol.7
, pp. 57-81
-
-
Okounkov, A.1
-
48
-
-
0038806289
-
Correlation function of a Schur process with application to local geometry of a random 3-dimensional Young diagram
-
A. Okounkov and N. Reshetikhin, "Correlation function of a Schur process with application to local geometry of a random 3-dimensional Young diagram," J. Amer. Math. Soc., 16, 581-603, 2003.
-
(2003)
J. Amer. Math. Soc
, vol.16
, pp. 581-603
-
-
Okounkov, A.1
Reshetikhin, N.2
-
49
-
-
0001043547
-
Equilibrium measure and the distribution of zeros of the extremal polynomials of a discrete variable
-
in Russian
-
E. A. Rakhmanov, "Equilibrium measure and the distribution of zeros of the extremal polynomials of a discrete variable," Mat. Sb., 187, 109-124, 1996 (in Russian).
-
(1996)
Mat. Sb
, vol.187
, pp. 109-124
-
-
Rakhmanov, E.A.1
-
50
-
-
0030305556
-
-
English translation
-
English translation: Sbornik:Mathematics, 187, 1213-1228, 1996.
-
(1996)
Sbornik:Mathematics
, vol.187
, pp. 1213-1228
-
-
-
53
-
-
0004073954
-
Orthogonal Polynomials
-
American Mathematical Society, Providence
-
G. Szego, Orthogonal Polynomials, Colloquium Publications volume 23, American Mathematical Society, Providence, 1991.
-
(1991)
Colloquium Publications
, vol.23
-
-
Szego, G.1
-
54
-
-
27644532196
-
Level-Spacing distributions and the Airy kernel
-
C. Tracy and H. Widom, "Level-Spacing distributions and the Airy kernel," Comm. Math. Phys., 159, 151-174, 1994.
-
(1994)
Comm. Math. Phys
, vol.159
, pp. 151-174
-
-
Tracy, C.1
Widom, H.2
-
55
-
-
0032163852
-
Correlation functions, cluster functions, and spacing distributions for random matrices
-
C. Tracy and H. Widom, "Correlation functions, cluster functions, and spacing distributions for random matrices," J. Statist. Phys., 92, 809-835, 1998.
-
(1998)
J. Statist. Phys
, vol.92
, pp. 809-835
-
-
Tracy, C.1
Widom, H.2
-
56
-
-
0000509583
-
The Riemann-Hilbert problem and inverse scattering
-
X. Zhou, "The Riemann-Hilbert problem and inverse scattering," SIAM J. Math. Anal., 20, 966-986, 1989.
-
(1989)
SIAM J. Math. Anal
, vol.20
, pp. 966-986
-
-
Zhou, X.1
|