-
1
-
-
51649213061
-
The continuous analogues of some theorems on Toeplitz matrices
-
Akhiezer N.I. (1964) The continuous analogues of some theorems on Toeplitz matrices. Ukrainian Math. J. 16: 445-462.
-
(1964)
Ukrainian Math. J.
, vol.16
, pp. 445-462
-
-
Akhiezer, N.I.1
-
3
-
-
84960580659
-
Genesis of the double gamma function
-
Barnes E.W. (1900) Genesis of the double gamma function. Proc. London Math. Soc. 31: 358-381.
-
(1900)
Proc. London Math. Soc.
, vol.31
, pp. 358-381
-
-
Barnes, E.W.1
-
4
-
-
33847028356
-
Some problems associated with the asymptotics of τ functions
-
Basor E.L., Tracy C.A. (1992) Some problems associated with the asymptotics of τ functions. Suaikaguku 30(3): 71-76.
-
(1992)
Suaikaguku
, vol.30
, Issue.3
, pp. 71-76
-
-
Basor, E.L.1
Tracy, C.A.2
-
6
-
-
0004140790
-
Quantum Inverse Scattering Method, Correlation Functions and Algebraic Bethe Ansatz
-
Cambridge: Cambridge Univ. press
-
Bogoliubov, N.M., Izergin, A.G., Korepin V.E.: Quantum Inverse Scattering Method, Correlation Functions and Algebraic Bethe Ansatz. Cambridge monograph on mathematical physics, Cambridge: Cambridge Univ. press, 1993.
-
(1993)
Cambridge Monograph on Mathematical Physics
-
-
Bogoliubov, N.M.1
Izergin, A.G.2
Korepin, V.E.3
-
7
-
-
70350656867
-
Quasiclassical asymptotics of the resolvent of an integral convolution operator with a sine kernel on a finite interval
-
Budylin A.M., Buslaev V.S. (1995) Quasiclassical asymptotics of the resolvent of an integral convolution operator with a sine kernel on a finite interval. Alg. i Analiz. 7(6): 79-103.
-
(1995)
Alg. i Analiz.
, vol.7
, Issue.6
, pp. 79-103
-
-
Budylin, A.M.1
Buslaev, V.S.2
-
8
-
-
1342347322
-
Zero temperature correlation functions for the impenetrable fermion gas
-
Cheianov V.V., Zvonarev M.R. (2004) Zero temperature correlation functions for the impenetrable fermion gas. J. Phys. A:Math. Gen. 37: 2261-2297.
-
(2004)
J. Phys. A:Math. Gen.
, vol.37
, pp. 2261-2297
-
-
Cheianov, V.V.1
Zvonarev, M.R.2
-
9
-
-
0000574481
-
Correlators in the Heisenberg XX0 chain as Fredholm determinants
-
Colomo F., Izergin A.G., Korepin V.E., Tognetti V. (1992) Correlators in the Heisenberg XX0 chain as Fredholm determinants. Phys. Lett. A 169: 237-247.
-
(1992)
Phys. Lett. A
, vol.169
, pp. 237-247
-
-
Colomo, F.1
Izergin, A.G.2
Korepin, V.E.3
Tognetti, V.4
-
11
-
-
0002469949
-
Long-time asymptotics for integrable nonlinear wave equations
-
Berlin: Springer
-
Deift, P.A., Its, A.R., Zhou, X.: Long-time asymptotics for integrable nonlinear wave equations. In: Important Developments in Soliton Theory, Springer Ser. Nonlinear Dynam., Berlin: Springer, 1993, pp. 181-204.
-
(1993)
Important Developments in Soliton Theory, Springer Ser. Nonlinear Dynam.
, pp. 181-204
-
-
Deift, P.A.1
Its, A.R.2
Zhou, X.3
-
12
-
-
4243825006
-
Long-Time Behaviour of the Non-focusing Nonlinear Schrödinger Equation - a Case Study
-
Tokyo: University of Tokyo
-
Deift, P.A., Zhou, X.: Long-Time Behaviour of the Non-focusing Nonlinear Schrödinger Equation - a Case Study. Lectures in Mathematical Sciences, Vol. 5, Tokyo: University of Tokyo, 1994.
-
(1994)
Lectures in Mathematical Sciences
, vol.5
-
-
Deift, P.A.1
Zhou, X.2
-
13
-
-
0031493906
-
A Riemann-Hilbert approach to asymptotics problems arising in the theory of random matrix models and also in the theory of integrable statistical mechanics
-
Deift P.A., Its A.R., Zhou X. (1997) A Riemann-Hilbert approach to asymptotics problems arising in the theory of random matrix models and also in the theory of integrable statistical mechanics. Ann. Math. 146: 149-235.
-
(1997)
Ann. Math.
, vol.146
, pp. 149-235
-
-
Deift, P.A.1
Its, A.R.2
Zhou, X.3
-
14
-
-
0000183376
-
A steepest descent method for oscillatory Riemann-Hilbert problems
-
Deift P.A., Zhou X. (1997) A steepest descent method for oscillatory Riemann-Hilbert problems. Intl. Math. Res. 6: 285-299.
-
(1997)
Intl. Math. Res.
, vol.6
, pp. 285-299
-
-
Deift, P.A.1
Zhou, X.2
-
15
-
-
33847058828
-
The Widom-Dyson constant for the gap probability in random matrix theory
-
Deift P.A., Its A.R., Krasovsky I., Zhou X. (2007) The Widom-Dyson constant for the gap probability in random matrix theory. J. Comput. Appl. Math. 202(1): 26-47.
-
(2007)
J. Comput. Appl. Math.
, vol.202
, Issue.1
, pp. 26-47
-
-
Deift, P.A.1
Its, A.R.2
Krasovsky, I.3
Zhou, X.4
-
16
-
-
70350649640
-
-
Deift, P., Its, A.R., Krasovsky, I.: Toeplitz and Hankel determinants with singularities: announcement of results, http://arXiv.org/abs/0809.2420v1[math.FA], 2008.
-
(2008)
Toeplitz and Hankel Determinants with Singularities: Announcement of Results
-
-
Deift, P.1
Its, A.R.2
Krasovsky, I.3
-
17
-
-
67650708078
-
-
Deift, P., Its, A.R., Krasovsky, I.: Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities, http://arXiv.org/abs/0905.0443v1[math.FA], 2009.
-
(2009)
Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel Determinants with Fisher-Hartwig Singularities
-
-
Deift, P.1
Its, A.R.2
Krasovsky, I.3
-
18
-
-
0038837589
-
Asymptotic behaviour of spacing distributions for the eigenvalues of random matrices
-
des Cloizeaux J., Mehta M.L. (1973) Asymptotic behaviour of spacing distributions for the eigenvalues of random matrices. J. Math. Phys. 14: 1648-1650.
-
(1973)
J. Math. Phys.
, vol.14
, pp. 1648-1650
-
-
des Cloizeaux, J.1
Mehta, M.L.2
-
19
-
-
0039430299
-
Fredholm determinants and inverse scattering problems
-
Dyson F. (1976) Fredholm determinants and inverse scattering problems. Commun. Math. Phys. 47: 171-183.
-
(1976)
Commun. Math. Phys.
, vol.47
, pp. 171-183
-
-
Dyson, F.1
-
20
-
-
31144434870
-
Dyson's constant in the asymptotics of the fredholm determinant of the sine kernel
-
Ehrhardt T. (2006) Dyson's constant in the asymptotics of the fredholm determinant of the sine kernel. Commun. Math. Phys. 262: 317-341.
-
(2006)
Commun. Math. Phys.
, vol.262
, pp. 317-341
-
-
Ehrhardt, T.1
-
21
-
-
0001865474
-
Sur la loi limite de l'espacement des valeurs propres d'une matrice aléatoire
-
Gaudin M. (1961) Sur la loi limite de l'espacement des valeurs propres d'une matrice aléatoire. Nucl. Phys. 25: 447-458.
-
(1961)
Nucl. Phys.
, vol.25
, pp. 447-458
-
-
Gaudin, M.1
-
22
-
-
0001358033
-
On the density of eigenvalues of a random matrix
-
Gaudin M., Mehta M.L. (1960) On the density of eigenvalues of a random matrix. Nucl. Phys 18: 420-427.
-
(1960)
Nucl. Phys
, vol.18
, pp. 420-427
-
-
Gaudin, M.1
Mehta, M.L.2
-
23
-
-
11744315823
-
General relation of correlation exponents and spectral properties of one-dimensional Fermi systems: Application to the anisotropic s = 1/2 Heisenberg chain
-
Haldane F.D.M. (1980) General relation of correlation exponents and spectral properties of one-dimensional Fermi systems: Application to the anisotropic s = 1/2 Heisenberg chain. Phys. Rev. Lett. 45: 1358.
-
(1980)
Phys. Rev. Lett.
, vol.45
, pp. 1358
-
-
Haldane, F.D.M.1
-
24
-
-
33748990965
-
Demonstration of the "Luttinger liquid" character of Bethe-ansatz soluble models of 1-D quantum fluids
-
Haldane F.D.M. (1981) Demonstration of the "Luttinger liquid" character of Bethe-ansatz soluble models of 1-D quantum fluids. Phys. Lett. A 81: 153.
-
(1981)
Phys. Lett. A
, vol.81
, pp. 153
-
-
Haldane, F.D.M.1
-
25
-
-
4344648736
-
Luttinger liquid theory of one-dimensional quantum fluids: I. Properties of the Luttinger model and their extension to the general interacting 1D spinless Fermi gas
-
Haldane F.D.M. (1981) Luttinger liquid theory of one-dimensional quantum fluids: I. Properties of the Luttinger model and their extension to the general interacting 1D spinless Fermi gas. J. Phys. C: Solid State Phys. 14: 2585.
-
(1981)
J. Phys. C: Solid State Phys.
, vol.14
, pp. 2585
-
-
Haldane, F.D.M.1
-
26
-
-
0039632052
-
Asymptotic behaviour of the solutions to the nonlinear Schrödinger equation, and isomonodromic deformations of systems of linear differential equations
-
Its A.R. (1981) Asymptotic behaviour of the solutions to the nonlinear Schrödinger equation, and isomonodromic deformations of systems of linear differential equations. Dokl. Akad. Nauk SSSR 261(1): 14-18.
-
(1981)
Dokl. Akad. Nauk SSSR
, vol.261
, Issue.1
, pp. 14-18
-
-
Its, A.R.1
-
27
-
-
0040420438
-
Long-distance asymptotics of temperature correlators of the impenetrable Bose gas
-
Its A.R., Izergin A.G., Korepin V.E. (1990) Long-distance asymptotics of temperature correlators of the impenetrable Bose gas. Commun. Math. Phys. 130: 471-488.
-
(1990)
Commun. Math. Phys.
, vol.130
, pp. 471-488
-
-
Its, A.R.1
Izergin, A.G.2
Korepin, V.E.3
-
28
-
-
0010028989
-
Temperature correlators of the impenetrable Bose gas as an integrable system
-
Its A.R., Izergin A.G., Korepin V.E. (1990) Temperature correlators of the impenetrable Bose gas as an integrable system. Commun. Math. Phys. 129: 205-222.
-
(1990)
Commun. Math. Phys.
, vol.129
, pp. 205-222
-
-
Its, A.R.1
Izergin, A.G.2
Korepin, V.E.3
-
31
-
-
52549129629
-
Large time and distance asymptotics of the correlator of the impenetrable bosons at finite temperature
-
Its A.R., Izergin A.G., Korepin V.E., Varguzin G.G. (1991) Large time and distance asymptotics of the correlator of the impenetrable bosons at finite temperature. Physica D 54: 351.
-
(1991)
Physica D
, vol.54
, pp. 351
-
-
Its, A.R.1
Izergin, A.G.2
Korepin, V.E.3
Varguzin, G.G.4
-
32
-
-
67650726631
-
Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump
-
Its, A.R., Krasovsky, I.: Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump. Contemp. Maths. (AMS series) 458, Providence, RI: Amer. Math. Soc., 2008 pp. 215-247.
-
(2008)
Contemp. Maths. (AMS series) 458, Providence, RI: Amer. Math. Soc.
, pp. 215-247
-
-
Its, A.R.1
Krasovsky, I.2
-
33
-
-
2342488264
-
Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
-
Jimbo M., Miwa T., Mori Y., Sato M. (1980) Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent. Physica D 1: 80-158.
-
(1980)
Physica D
, vol.1
, pp. 80-158
-
-
Jimbo, M.1
Miwa, T.2
Mori, Y.3
Sato, M.4
-
34
-
-
84972538834
-
Toeplitz matrices, translation kernels and related problem in probability
-
Kac M. (1954) Toeplitz matrices, translation kernels and related problem in probability. Duke Math. J. 21: 501-510.
-
(1954)
Duke Math. J.
, vol.21
, pp. 501-510
-
-
Kac, M.1
-
35
-
-
71049186013
-
Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions
-
P04003, doi:10.1088/1742-5468/2009/04/R04003
-
Kitanine, N., Kozlowski, K.K., Maillet, J.-M., Slavnov, N.A., Terras, V.: Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions. J. Stat. Mech. (2009) P04003, doi:10.1088/1742-5468/2009/04/R04003.
-
(2009)
J. Stat. Mech.
-
-
Kitanine, N.1
Kozlowski, K.K.2
Maillet, J.-M.3
Slavnov, N.A.4
Terras, V.5
-
36
-
-
0001748312
-
The time dependent correlation function of an impenetrable Bose gas as a Fredholm minor. I
-
Korepin V.E., Slavnov N.A. (1990) The time dependent correlation function of an impenetrable Bose gas as a Fredholm minor. I. Commun. Math. Phys. 129(1): 103-113.
-
(1990)
Commun. Math. Phys.
, vol.129
, Issue.1
, pp. 103-113
-
-
Korepin, V.E.1
Slavnov, N.A.2
-
38
-
-
2442427555
-
Gap probability in the spectrum of random matrices and asymptotics of polynomials orthogonal on an arc of the unit circle
-
Krasovsky I.V. (2004) Gap probability in the spectrum of random matrices and asymptotics of polynomials orthogonal on an arc of the unit circle. Int. Math. Res. Not. 2004: 1249-1272.
-
(2004)
Int. Math. Res. Not.
, vol.2004
, pp. 1249-1272
-
-
Krasovsky, I.V.1
-
39
-
-
4444305949
-
The Riemann-Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]
-
Kuijlaars A.B.J., McLaughlin K.T.-R., van Assche W., Vanlessen M. (2004) The Riemann-Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]. Adv. in Math. 188: 337-398.
-
(2004)
Adv. in Math.
, vol.188
, pp. 337-398
-
-
Kuijlaars, A.B.J.1
McLaughlin, K.T.-R.2
van Assche, W.3
Vanlessen, M.4
-
40
-
-
0142053350
-
Momentum distribution in the ground state of the one-dimensional system of impenetrable bosons
-
Lenard A. (1964) Momentum distribution in the ground state of the one-dimensional system of impenetrable bosons. J. Math. Phys. 5: 930-943.
-
(1964)
J. Math. Phys.
, vol.5
, pp. 930-943
-
-
Lenard, A.1
-
41
-
-
0000799156
-
One-dimensional impenetrable bosons in thermal equilibrium
-
Lenard A. (1966) One-dimensional impenetrable bosons in thermal equilibrium. J. Math. Phys. 7: 1268-1272.
-
(1966)
J. Math. Phys.
, vol.7
, pp. 1268-1272
-
-
Lenard, A.1
-
42
-
-
0003067405
-
Connection formulae for Painlevé V functions. II. The delta function Bose gas problem
-
McCoy B.M., Tang S. (1986) Connection formulae for Painlevé V functions. II. The delta function Bose gas problem. Physica D 20: 187-216.
-
(1986)
Physica D
, vol.20
, pp. 187-216
-
-
McCoy, B.M.1
Tang, S.2
-
43
-
-
0003088318
-
Time-dependent correlation functions of the transverse Ising chain at the critical magnetic field
-
McCoy B.M., Perk J.H.H., Shrock R.E. (1983) Time-dependent correlation functions of the transverse Ising chain at the critical magnetic field. Nucl. Phys. B 220: 35-47.
-
(1983)
Nucl. Phys. B
, vol.220
, pp. 35-47
-
-
McCoy, B.M.1
Perk, J.H.H.2
Shrock, R.E.3
-
44
-
-
0039014465
-
The strong Szegö limit theorem for circular arcs
-
Widom H. (1971) The strong Szegö limit theorem for circular arcs. Indiana Univ. Math. J. 21: 277-283.
-
(1971)
Indiana Univ. Math. J.
, vol.21
, pp. 277-283
-
-
Widom, H.1
-
45
-
-
38149146573
-
The asymptotics of a continuous analogue of orthogonal polynomials
-
Widom H. (1994) The asymptotics of a continuous analogue of orthogonal polynomials. J. Approx. Th. 77: 51-64.
-
(1994)
J. Approx. Th.
, vol.77
, pp. 51-64
-
-
Widom, H.1
-
46
-
-
21844526023
-
Asymptotics for the Fredholm determinant of the Sine Kernel on a Union of Intervals
-
Widom H. (1995) Asymptotics for the Fredholm determinant of the Sine Kernel on a Union of Intervals. Commun. Math. Phys. 171: 159-180.
-
(1995)
Commun. Math. Phys.
, vol.171
, pp. 159-180
-
-
Widom, H.1
|