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Its, Alexander Rudolfovich

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Author ID: its.alexander-rudolfovich Recent zbMATH articles by "Its, Alexander Rudolfovich"
Published as: Its, A. R.; Its, Alexander; Its, Alexander R.; Its, A.; Its, Alexander Rudol’fovich
Homepage: http://math.iupui.edu/people/alexander-r-its
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Co-Authors

19 single-authored
22 Korepin, Vladimir E.
17 Fokas, Athanassios S.
15 Deift, Percy A.
12 Kapaev, Andrei A.
12 Krasovsky, Igor V.
10 Izergin, Anatoli G.
8 Kitaev, Alexander V.
7 Bleher, Pavel M.
7 Bothner, Thomas
6 Matveev, Vladimir B.
6 Slavnov, Nikita A.
5 Bobenko, Alexander Ivanovich
5 Frahm, Holger
5 Novokshenov, Viktor Yur’evich
5 Prokhorov, Andrei
5 Zhou, Xin
4 Bikbaev, Ramil’ F.
4 Its, Elizabeth N.
3 Boutet de Monvel, Anne Marie
3 Claeys, Tom
3 Enolskiĭ, Viktor Zelikovich
3 Essler, Fabian H. L.
3 Franchini, Fabio
3 Gharakhloo, Roozbeh
3 Guest, Martin A.
3 Jin, Bai-Qi
3 Kozlowski, Karol Kajetan
3 Lin, Chang-Shou
3 Sukhanov, Vladimir V.
3 Suslina, Tat’yana Aleksandrovna
3 Ustinov, A. F.
2 Basor, Estelle L.
2 Buckingham, Robert J.
2 Chen, Yang
2 Faddeev, Lyudvig Dmitrievich
2 Grava, Tamara
2 Harnad, John
2 Kotlyarov, Vladimir P.
2 Kuijlaars, Arno B. J.
2 Lisovyy, Oleg
2 Mezzadri, Francesco
2 Östensson, Jörgen
2 Shepelsky, Dmitry
2 Tracy, Craig Arnold
2 Varzugin, G. G.
2 Widom, Harold
1 Alfimov, Georgiĭ Leonidovich
1 Andronov, Ivan V.
1 Babich, Vasiliĭ Mikhaĭlovich
1 Baik, Jinho
1 Belokolos, Eugene D.
1 Bogatskiy, A.
1 Bolibrukh, Andreĭ Andreevich
1 Bornemann, Folkmar A.
1 Corwin, Ivan Z.
1 DiFranco, Jeffery C.
1 Ehrhardt, Torsten
1 Elgin, John N.
1 Farafonov, V. G.
1 Fedotov, Alexander
1 Garoufalidis, Stavros
1 Jimbo, Michio
1 Kaplunov, Julius D.
1 Keating, Jonathan Peter
1 Kulagin, N. E.
1 Laptev, Ari
1 Li, Yuqi
1 Maillet, Jean-Michel
1 Marchenko, Vladimir Aleksandrovich
1 Mariño, Marcos
1 Mo, Man Yue
1 Motovilov, Aleksandr Konstantinovich
1 Niles, David
1 Olver, Sheehan Shakiban
1 Pastur, Leonid Andreevich
1 Petrov, Vladimir E.
1 Plamenevskiĭ, Boris Alekseevich
1 Reshetikhin, Nikolai Yu.
1 Rybin, Andrei V.
1 Sall’, M. A.
1 Sobolev, Alexander V.
1 Takhtajan, Leon Armenovich
1 Tarasov, Vitaly Olegovich
1 Tykhyy, Yuriy
1 Ural’tseva, Nina Nikolaevna
1 Wechslberger, Georg
1 Yafaev, Dimitri R.
1 Yakovlev, Sergey L.
all top 5

Serials

14 Communications in Mathematical Physics
7 Nonlinearity
7 Theoretical and Mathematical Physics
7 IMRN. International Mathematics Research Notices
6 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
5 Letters in Mathematical Physics
5 Physica D
5 Journal of Physics A: Mathematical and General
4 Journal of Soviet Mathematics
4 Soviet Mathematics. Doklady
4 St. Petersburg Mathematical Journal
3 Communications on Pure and Applied Mathematics
3 Journal of Mathematical Physics
3 Duke Mathematical Journal
3 Functional Analysis and its Applications
3 Journal of Mathematical Sciences (New York)
3 Annals of Mathematics. Second Series
2 Journal of Statistical Physics
2 Mathematical Notes
2 Nuclear Physics. B
2 Russian Mathematical Surveys
2 Mathematics of the USSR. Izvestiya
2 Selecta Mathematica Sovietica
2 Constructive Approximation
2 SIAM Journal on Mathematical Analysis
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Mathematical Sciences Research Institute Publications
2 Problemy Matematicheskoĭ Fiziki
2 Journal of Physics A: Mathematical and Theoretical
1 Modern Physics Letters A
1 International Journal of Modern Physics B
1 Inverse Problems
1 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya
1 Reviews in Mathematical Physics
1 Chaos, Solitons and Fractals
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 Funktsional’nyĭ Analiz i ego Prilozheniya
1 Gazette des Mathématiciens
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 Manuscripta Mathematica
1 Mathematics and Computers in Simulation
1 Studies in Applied Mathematics
1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
1 Soviet Physics. Doklady
1 Bulletin of the American Mathematical Society. New Series
1 Vestnik Leningrad University. Mathematics
1 Notices of the American Mathematical Society
1 Zapiski Nauchnykh Seminarov POMI
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Physical Review Letters
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Quantum Information Processing
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 CRM Proceedings & Lecture Notes
1 Lecture Notes in Mathematics
1 Mathematical Surveys and Monographs
1 Vestnik Leningradskogo Universiteta. Seriya 4. Fizika, Khimiya

Publications by Year

Citations contained in zbMATH Open

137 Publications have been cited 2,948 times in 1,695 Documents Cited by Year
Algebro-geometric approach to nonlinear integrable equations. Zbl 0809.35001
Belokolos, E. D.; Bobenko, A. I.; Enol’skij, V. Z.; Its, A. R.; Matveev, V. B.
308
1994
The isomonodromy approach to matrix models in 2D quantum gravity. Zbl 0760.35051
Fokas, A. S.; Its, A. R.; Kitaev, A. V.
214
1992
Painlevé transcendents. The Riemann-Hilbert approach. Zbl 1111.34001
Fokas, Athanassios S.; Its, Alexander R.; Kapaev, Andrei A.; Novokshenov, Victor Yu.
148
2006
Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model. Zbl 0956.42014
Bleher, Pavel; Its, Alexander
119
1999
Differential equations for quantum correlation functions. Zbl 0719.35091
Its, A. R.; Izergin, A. G.; Korepin, V. E.; Slavnov, N. A.
114
1990
The nonlinear Schrödinger equation on the half-line. Zbl 1181.37095
Fokas, A. S.; Its, A. R.; Sung, L.-Y.
103
2005
Discrete Painlevé equations and their appearance in quantum gravity. Zbl 0742.35047
Fokas, A. S.; Its, A. R.; Kitaev, A. V.
94
1991
A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics. Zbl 0936.47028
Deift, Percy A.; Its, Alexander R.; Zhou, Xin
93
1997
The isomonodromic deformation method in the theory of Painlevé equations. Zbl 0592.34001
Its, Alexander R.; Novokshenov, Victor Yu.
84
1986
Long-time asymptotics for integrable nonlinear wave equations. Zbl 0926.35132
Deift, P. A.; Its, A. R.; Zhou, X.
72
1993
Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Zbl 1232.15006
Deift, Percy; Its, Alexander; Krasovsky, Igor
68
2011
Toeplitz matrices and Toeplitz determinants under the impetus of the Ising model: some history and some recent results. Zbl 1292.47016
Deift, Percy; Its, Alexander; Krasovsky, Igor
60
2013
Painlevé III and a singular linear statistics in Hermitian random matrix ensembles. I. Zbl 1189.33035
Chen, Yang; Its, Alexander
58
2010
Double scaling limit in the random matrix model: The Riemann-Hilbert approach. Zbl 1032.82014
Bleher, Pavel M.; Its, Alexander
57
2003
The linearization of the initial-boundary value problem of the nonlinear Schrödinger equation. Zbl 0851.35122
Fokas, A. S.; Its, A. R.
54
1996
Hill’s operator with finitely many gaps. Zbl 0318.34038
Its, A. R.; Matveev, V. B.
44
1975
The nonlinear Schrödinger equation on the interval. Zbl 1057.37063
Fokas, A. S.; Its, A. R.
42
2004
Asymptotics of the Airy-kernel determinant. Zbl 1167.15005
Deift, P.; Its, A.; Krasovsky, I.
41
2008
Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition on the half-line. Zbl 1185.37153
Boutet de Monvel, Anne; Its, Alexander; Kotlyarov, Vladimir
40
2009
Asymptotics of the instantons of Painlevé I. Zbl 1245.34087
Garoufalidis, Stavros; Its, Alexander; Kapaev, Andrei; Mariño, Marcos
33
2012
Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump. Zbl 1163.15027
Its, A.; Krasovsky, I.
33
2008
Entanglement in the \(XY\) spin chain. Zbl 1112.82013
Its, A. R.; Jin, B. Q.; Korepin, V. E.
33
2005
Connection problem for the sine-Gordon/Painlevé III tau function and irregular conformal blocks. Zbl 1329.34140
Its, Alexander; Lisovyy, Oleg; Tykhyy, Yuriy
30
2015
The Widom–Dyson constant for the gap probability in random matrix theory. Zbl 1116.15019
Deift, P.; Its, A.; Krasovsky, I.; Zhou, X.
28
2007
Critical edge behavior in unitary random matrix ensembles and the thirty-fourth Painlevé transcendent. Zbl 1141.82305
Its, Alexander R.; Kuijlaars, Arno B. J.; Östensson, Jörgen
28
2008
Higher-order analogues of the Tracy-Widom distribution and the Painlevé II hierarchy. Zbl 1198.34191
Claeys, Tom; Krasovsky, Igor; Its, Alexander
28
2010
Integrable Fredholm operators and dual isomonodromic deformations. Zbl 1008.34082
Harnad, J.; Its, Alexander R.
27
2002
The Riemann-Hilbert problem and integrable systems. Zbl 1053.34081
Its, Alexander R.
26
2003
An initial-boundary value problem for the Korteweg-de Vries equation. Zbl 0832.35125
Fokas, A. S.; Its, A. R.
26
1994
Asymptotics of the partition function of a random matrix model. Zbl 1135.82016
Bleher, Pavel M.; Its, Alexander
25
2005
Asymptotics of solutions of the nonlinear Schrödinger equation and isomonodromic deformations of systems of linear differential equations. Zbl 0534.35028
Its, A. R.
24
1981
Monodromy dependence and connection formulae for isomonodromic tau functions. Zbl 1396.33039
Its, A. R.; Lisovyy, O.; Prokhorov, A.
23
2018
Exact integration of nonlinear Schrödinger equation. Zbl 0678.35012
Its, A. R.; Rybin, A. V.; Sall’, M. A.
21
1988
On the asymptotics of a Toeplitz determinant with singularities. Zbl 1326.35218
Deift, Percy; Its, Alexander; Krasovsky, Igor
21
2014
Emergence of a singularity for Toeplitz determinants and Painlevé V. Zbl 1298.47039
Claeys, T.; Its, A.; Krasovsky, I.
21
2011
Renyi entropy of the XY spin chain. Zbl 1189.82024
Franchini, F.; Its, A. R.; Korepin, V. E.
19
2008
The isomonodromy approach in the theory of two-dimensional quantum gravitation. Zbl 0743.35055
Its, A. R.; Kitaev, A. V.; Fokas, A. S.
19
1990
Hankel determinant and orthogonal polynomials for a Gaussian weight with a discontinuity at the edge. Zbl 1371.33034
Bogatskiy, A.; Claeys, T.; Its, A.
18
2016
On the algebro-geometric integration of the Schlesinger equations. Zbl 0949.34075
Deift, P.; Its, A.; Kapaev, A.; Zhou, X.
18
1999
An initial-boundary value problem for the sine-Gordon equation in laboratory coordinates. Zbl 0802.35133
Fokas, A. S.; Its, A. R.
18
1992
Quasi-linear Stokes phenomenon for the second Painlevé transcendent. Zbl 1048.34146
Its, A. R.; Kapaev, A. A.
17
2003
On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. I. Zbl 1321.82027
Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor
17
2015
Inversion of hyperelliptic integrals and integration of non-linear differential equations. Zbl 0336.35025
Its, A. R.
17
1976
Eigenvalues of Toeplitz matrices in the bulk of the spectrum. Zbl 1292.15029
Deift, P.; Its, A.; Krasovsky, I.
15
2012
Random words, Toeplitz determinants and integrable systems. II. Zbl 0977.35103
Its, Alexander R.; Tracy, Craig A.; Widom, Harold
14
2001
Temperature correlators of the impenetrable Bose gas as an integrable system. Zbl 0698.60094
Its, A. R.; Izergin, A. G.; Korepin, V. E.
14
1990
Soliton generation for initial-boundary value problems. Zbl 0969.35537
Fokas, A. S.; Its, A. R.
14
1992
“Isomonodromy” solutions of equations of zero curvature. Zbl 0657.35121
Its, A. R.
13
1986
Entanglement entropy in quantum spin chains with finite range interaction. Zbl 1157.82026
Its, A. R.; Mezzadri, F.; Mo, M. Y.
13
2008
Asymptotics for a special solution of the thirty fourth Painlevé equation. Zbl 1177.15038
Its, A. R.; Kuijlaars, A. B. J.; Östensson, J.
13
2009
Long-distance asymptotics of temperature correlators of the impenetrable Bose gas. Zbl 0702.76089
Its, A. R.; Izergin, A. G.; Korepin, V. E.
13
1990
Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition. Zbl 1138.35083
Boutet de Monvel, Anne; Its, Alexander; Kotlyarov, Vladimir
13
2007
Connection problem for the tau-function of the sine-Gordon reduction of Painlevé-III equation via the Riemann-Hilbert approach. Zbl 1404.34104
Its, Alexander; Prokhorov, Andrei
13
2016
Painlevé-type asymptotics for the Camassa-Holm equation. Zbl 1213.35357
Boutet De Monvel, Anne; Its, Alexander; Shepelsky, Dmitry
12
2010
Large time and distance asymptotics of field correlation function of impenetrable bosons at finite temperature. Zbl 0800.35034
Its, A. R.; Izergin, A. G.; Korepin, V. E.; Varzugin, G. G.
12
1992
The method of isomonodromy deformations and connection formulas for the second Painlevé transcendent. Zbl 0681.34053
Its, A. R.; Kapaev, A. A.
11
1987
Total integrals of global solutions to Painlevé II. Zbl 1179.33036
Baik, Jinho; Buckingham, Robert; Difranco, Jeffery; Its, Alexander
11
2009
Entropy of \(XY\) spin chain and block Toeplitz determinants. Zbl 1118.81009
Its, A. R.; Jin, B.-Q.; Korepin, V. E.
11
2007
Ellipses of constant entropy in the \(XY\) spin chain. Zbl 1117.82012
Franchini, F.; Its, A. R.; Jin, B-Q; Korepin, V. E.
11
2007
Random words, Toeplitz determinants, and integrable systems. I. Zbl 0986.68104
Its, Alexander R.; Tracy, Craig A.; Widom, Harold
11
2001
The nonlinear steepest descent approach to the asymptotics of the second Painlevé transcendent in the complex domain. Zbl 1047.34104
Its, A. R.; Kapaev, A. A.
10
2002
Connection formulae for the fourth Painlevé transcendent: Clarkson-McLeod solution. Zbl 0898.34006
Its, Alexander R.; Kapaev, Andrei A.
10
1998
Isomonodromy aspects of the \(\mathrm{tt}^*\) equations of Cecotti and Vafa. I: Stokes data. Zbl 1332.37050
Guest, Martin A.; Its, Alexander R.; Lin, Chang-Shou
10
2015
Initial boundary value problem for the focusing nonlinear Schrödinger equation with Robin boundary condition: half-line approach. Zbl 1371.35272
Its, Alexander; Shepelsky, Dmitry
10
2013
Dynamics of the Calogero-Moser system and the reduction of hyperelliptic integrals of elliptic integrals. Zbl 0602.14031
Its, A. R.; Ehnol’skij, V. Z.
9
1986
The nonlinear steepest descent approach to the singular asymptotics of the second Painlevé transcendent. Zbl 1266.34142
Bothner, Thomas; Its, Alexander
9
2012
Algebro-geometric solutions of a boundary-value problem for the nonlinear Schrödinger equation. Zbl 0706.35124
Bikbaev, R. F.; Its, A. R.
9
1989
“Isomonodromic” solutions of equations of zero curvature. Zbl 0589.35087
Its, A. R.
8
1985
Modulation instability of solutions of the nonlinear Schrödinger equation. Zbl 0718.35088
Alfimov, G. L.; Its, A. R.; Kulagin, N. E.
8
1990
Random matrix models and their applications. Based on talks and lectures from the workshop, Berkeley, CA, USA, February 22–26, 1999. Zbl 0967.00059
8
2001
On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo-Miwa-Ueno differential. Zbl 1447.60038
Bothner, Thomas; Its, Alexander; Prokhorov, Andrei
8
2019
Effective integration of the nonlinear vector Schrödinger equation. Zbl 1121.35129
Elgin, J. N.; Enolski, V. Z.; Its, A. R.
8
2007
Landau-Lifshitz equation, uniaxial anisotropy case: theory of exact solutions. Zbl 1303.82038
Bikbaev, R. F.; Bobenko, A. I.; Its, A. R.
8
2014
Large \(N\) asymptotics in random matrices. The Riemann-Hilbert approach. Zbl 1248.15030
Its, Alexander R.
7
2011
Isomonodromy aspects of the \(\mathrm{tt}^*\) equations of Cecotti and Vafa. II: Riemann-Hilbert problem. Zbl 1312.81121
Guest, Martin A.; Its, Alexander R.; Lin, Chang-Shou
7
2015
Effective sufficient conditions for the solvability of the inverse problem of monodromy theory for systems of linear ordinary differential equations. Zbl 0810.34012
Its, A. R.; Novokshenov, V. Yu.
7
1988
On the asymptotic analysis of the Painlevé equations via the isomonodromy method. Zbl 0816.34039
Its, A. R.; Fokas, A. S.; Kapaev, A. A.
7
1994
On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. II. Zbl 1382.82014
Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor
7
2017
Algebrogeometric integration of the MNS equation, finite-gap solutions and their degeneration. Zbl 0516.35025
Its, A. R.; Matveev, V. B.
7
1983
On the Riemann-Hilbert-Birkhoff inverse monodromy problem and the Painlevé equations. Zbl 1077.34089
Bolibrukh, A. A.; Its, A. R.; Kapaev, A. A.
7
2004
A representation of joint moments of CUE characteristic polynomials in terms of Painlevé functions. Zbl 1423.60014
Basor, Estelle; Bleher, Pavel; Buckingham, Robert; Grava, Tamara; Its, Alexander; Its, Elizabeth; Keating, Jonathan P.
7
2019
Asymptotics of a Fredholm determinant corresponding to the first bulk critical universality class in random matrix models. Zbl 1290.15004
Bothner, Thomas; Its, Alexander
7
2014
Integro-difference equation for a correlation function of the spin-\(\frac 12\) Heisenberg \(XXZ\) chain. Zbl 1009.82506
Essler, Fabian H. L.; Frahm, Holger; Its, Alexander R.; Korepin, Vladimir E.
7
1995
Temporal asymptotic solution of the Cauchy problem for the nonlinear Schrödinger equation with boundary conditions of the finite-density type. Zbl 0651.35015
Its, A. R.; Ustinov, A. F.
6
1986
Large-\(x\) analysis of an operator-valued Riemann-Hilbert problem. Zbl 1359.47045
Its, A. R.; Kozlowski, K. K.
6
2016
The Fisher-Hartwig formula and entanglement entropy. Zbl 1183.82014
Its, A. R.; Korepin, V. E.
6
2009
A Riemann-Hilbert approach to the inverse problem for the Stark operator on the line. Zbl 1381.34109
Its, A.; Sukhanov, V.
6
2016
The Painlevé III equation and the Iwasawa decomposition. Zbl 0827.35114
Bobenko, Alexander; Its, Alexander
6
1995
Liouville’s theorem and the method of the inverse problem. Zbl 0582.35108
Its, A. R.
5
1985
Integrable equations on the half-infinite line. Zbl 1080.35531
Fokas, A. S.; Its, A. R.
5
1995
On finite-zone integration of the Landau-Lifshits equation. Zbl 0556.35115
Bikbaev, R. F.; Bobenko, A. I.; Its, A. R.
5
1983
Space correlations in one-dimensional impenetrable Bose gas at finite temperature. Zbl 0753.35093
Its, A. R.; Izergin, A. G.; Korepin, V. E.
5
1991
On the Riemann-Hilbert approach to asymptotic analysis of the correlation functions of the quantum nonlinear Schrödinger equation: Interacting fermion case. Zbl 0991.81016
Its, A. R.; Slavnov, N. A.
5
1999
Spectrum of the density matrix of a large block of spins of the \(XY\) model in one dimension. Zbl 1216.81027
Franchini, F.; Its, A. R.; Korepin, V. E.; Takhtajan, L. A.
5
2011
Riemann-Hilbert approach to the elastodynamic equation. I. Zbl 1276.35124
Its, Alexander; Its, Elizabeth; Kaplunov, Julius
4
2011
On the Tracy-Widom\(_\beta\) distribution for \(\beta=6\). Zbl 1351.81059
Grava, Tamara; Its, Alexander; Kapaev, Andrei; Mezzadri, Francesco
4
2016
Integrable differential equations for temperature correlation functions of the XXO Heisenberg chain. Zbl 0860.35120
Izergin, A. G.; Its, A. R.; Korepin, V. E.; Slavnov, N. A.
4
1993
The quantum correlation function as the \(\tau\) function of classical differential equations. Zbl 0814.35108
Its, A. R.; Izergin, A. G.; Korepin, V. E.; Slavnov, N. A.
4
1993
Inversion of hyperelliptic integrals and integration of nonlinear differential equations. Zbl 0462.35015
Its, A. R.
4
1981
Asymptotics of solutions of the radial Schrödinger equation with an oscillating potential at zero energy. Zbl 0493.34044
Its, A. R.
4
1979
Isomonodromy aspects of the \(tt^*\) equations of Cecotti and Vafa. III: Iwasawa factorization and asymptotics. Zbl 1439.22027
Guest, Martin A.; Its, Alexander R.; Lin, Chang-Shou
2
2020
Large time asymptotics for the cylindrical Korteweg-de Vries equation. I. Zbl 1451.35163
Its, A.; Sukhanov, V.
2
2020
A Riemann-Hilbert approach to asymptotic analysis of Toeplitz+Hankel determinants. Zbl 1457.15008
Gharakhloo, Roozbeh; Its, Alexander
1
2020
On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo-Miwa-Ueno differential. Zbl 1447.60038
Bothner, Thomas; Its, Alexander; Prokhorov, Andrei
8
2019
A representation of joint moments of CUE characteristic polynomials in terms of Painlevé functions. Zbl 1423.60014
Basor, Estelle; Bleher, Pavel; Buckingham, Robert; Grava, Tamara; Its, Alexander; Its, Elizabeth; Keating, Jonathan P.
7
2019
Monodromy dependence and connection formulae for isomonodromic tau functions. Zbl 1396.33039
Its, A. R.; Lisovyy, O.; Prokhorov, A.
23
2018
On some Hamiltonian properties of the isomonodromic tau functions. Zbl 1408.30036
Its, A. R.; Prokhorov, A.
4
2018
The sine process under the influence of a varying potential. Zbl 1404.60010
Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor
3
2018
On some Hamiltonian properties of the isomonodromic tau functions. Zbl 1397.34155
Its, A. R.; Prokhorov, A.
2
2018
On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. II. Zbl 1382.82014
Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor
7
2017
Hankel determinant and orthogonal polynomials for a Gaussian weight with a discontinuity at the edge. Zbl 1371.33034
Bogatskiy, A.; Claeys, T.; Its, A.
18
2016
Connection problem for the tau-function of the sine-Gordon reduction of Painlevé-III equation via the Riemann-Hilbert approach. Zbl 1404.34104
Its, Alexander; Prokhorov, Andrei
13
2016
Large-\(x\) analysis of an operator-valued Riemann-Hilbert problem. Zbl 1359.47045
Its, A. R.; Kozlowski, K. K.
6
2016
A Riemann-Hilbert approach to the inverse problem for the Stark operator on the line. Zbl 1381.34109
Its, A.; Sukhanov, V.
6
2016
On the Tracy-Widom\(_\beta\) distribution for \(\beta=6\). Zbl 1351.81059
Grava, Tamara; Its, Alexander; Kapaev, Andrei; Mezzadri, Francesco
4
2016
Connection problem for the sine-Gordon/Painlevé III tau function and irregular conformal blocks. Zbl 1329.34140
Its, Alexander; Lisovyy, Oleg; Tykhyy, Yuriy
30
2015
On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. I. Zbl 1321.82027
Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor
17
2015
Isomonodromy aspects of the \(\mathrm{tt}^*\) equations of Cecotti and Vafa. I: Stokes data. Zbl 1332.37050
Guest, Martin A.; Its, Alexander R.; Lin, Chang-Shou
10
2015
Isomonodromy aspects of the \(\mathrm{tt}^*\) equations of Cecotti and Vafa. II: Riemann-Hilbert problem. Zbl 1312.81121
Guest, Martin A.; Its, Alexander R.; Lin, Chang-Shou
7
2015
Asymptotics of a cubic sine kernel determinant. Zbl 1318.82015
Bothner, Thomas; Its, Alexander Rudol’fovich
1
2015
On the asymptotics of a Toeplitz determinant with singularities. Zbl 1326.35218
Deift, Percy; Its, Alexander; Krasovsky, Igor
21
2014
Landau-Lifshitz equation, uniaxial anisotropy case: theory of exact solutions. Zbl 1303.82038
Bikbaev, R. F.; Bobenko, A. I.; Its, A. R.
8
2014
Asymptotics of a Fredholm determinant corresponding to the first bulk critical universality class in random matrix models. Zbl 1290.15004
Bothner, Thomas; Its, Alexander
7
2014
On determinants of integrable operators with shifts. Zbl 1302.47074
Its, A. R.; Kozlowski, K. K.
3
2014
Toeplitz matrices and Toeplitz determinants under the impetus of the Ising model: some history and some recent results. Zbl 1292.47016
Deift, Percy; Its, Alexander; Krasovsky, Igor
60
2013
Initial boundary value problem for the focusing nonlinear Schrödinger equation with Robin boundary condition: half-line approach. Zbl 1371.35272
Its, Alexander; Shepelsky, Dmitry
10
2013
Asymptotics of the instantons of Painlevé I. Zbl 1245.34087
Garoufalidis, Stavros; Its, Alexander; Kapaev, Andrei; Mariño, Marcos
33
2012
Eigenvalues of Toeplitz matrices in the bulk of the spectrum. Zbl 1292.15029
Deift, P.; Its, A.; Krasovsky, I.
15
2012
The nonlinear steepest descent approach to the singular asymptotics of the second Painlevé transcendent. Zbl 1266.34142
Bothner, Thomas; Its, Alexander
9
2012
Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Zbl 1232.15006
Deift, Percy; Its, Alexander; Krasovsky, Igor
68
2011
Emergence of a singularity for Toeplitz determinants and Painlevé V. Zbl 1298.47039
Claeys, T.; Its, A.; Krasovsky, I.
21
2011
Large \(N\) asymptotics in random matrices. The Riemann-Hilbert approach. Zbl 1248.15030
Its, Alexander R.
7
2011
Spectrum of the density matrix of a large block of spins of the \(XY\) model in one dimension. Zbl 1216.81027
Franchini, F.; Its, A. R.; Korepin, V. E.; Takhtajan, L. A.
5
2011
Riemann-Hilbert approach to the elastodynamic equation. I. Zbl 1276.35124
Its, Alexander; Its, Elizabeth; Kaplunov, Julius
4
2011
Painlevé transcendents. Zbl 1280.34091
Its, Alexander R.
3
2011
On the Riemann-Hilbert-Birkhoff inverse monodromy problem associated with the third Painlevé equation. Zbl 1234.34055
Its, Alexander; Niles, David
2
2011
Discrete Painlevé equations and orthogonal polynomials. Zbl 1229.39011
Its, Alexander
2
2011
Painlevé III and a singular linear statistics in Hermitian random matrix ensembles. I. Zbl 1189.33035
Chen, Yang; Its, Alexander
58
2010
Higher-order analogues of the Tracy-Widom distribution and the Painlevé II hierarchy. Zbl 1198.34191
Claeys, Tom; Krasovsky, Igor; Its, Alexander
28
2010
Painlevé-type asymptotics for the Camassa-Holm equation. Zbl 1213.35357
Boutet De Monvel, Anne; Its, Alexander; Shepelsky, Dmitry
12
2010
Generalized entropy of the Heisenberg spin chain. Zbl 1252.82027
Its, A. R.; Korepin, V. E.
2
2010
Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition on the half-line. Zbl 1185.37153
Boutet de Monvel, Anne; Its, Alexander; Kotlyarov, Vladimir
40
2009
Asymptotics for a special solution of the thirty fourth Painlevé equation. Zbl 1177.15038
Its, A. R.; Kuijlaars, A. B. J.; Östensson, J.
13
2009
Total integrals of global solutions to Painlevé II. Zbl 1179.33036
Baik, Jinho; Buckingham, Robert; Difranco, Jeffery; Its, Alexander
11
2009
The Fisher-Hartwig formula and entanglement entropy. Zbl 1183.82014
Its, A. R.; Korepin, V. E.
6
2009
Asymptotics of the Airy-kernel determinant. Zbl 1167.15005
Deift, P.; Its, A.; Krasovsky, I.
41
2008
Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump. Zbl 1163.15027
Its, A.; Krasovsky, I.
33
2008
Critical edge behavior in unitary random matrix ensembles and the thirty-fourth Painlevé transcendent. Zbl 1141.82305
Its, Alexander R.; Kuijlaars, Arno B. J.; Östensson, Jörgen
28
2008
Renyi entropy of the XY spin chain. Zbl 1189.82024
Franchini, F.; Its, A. R.; Korepin, V. E.
19
2008
Entanglement entropy in quantum spin chains with finite range interaction. Zbl 1157.82026
Its, A. R.; Mezzadri, F.; Mo, M. Y.
13
2008
A Riemann-Hilbert approach to the Akhiezer polynomials. Zbl 1153.37426
Chen, Yang; Its, Alexander R.
3
2008
The Widom–Dyson constant for the gap probability in random matrix theory. Zbl 1116.15019
Deift, P.; Its, A.; Krasovsky, I.; Zhou, X.
28
2007
Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition. Zbl 1138.35083
Boutet de Monvel, Anne; Its, Alexander; Kotlyarov, Vladimir
13
2007
Entropy of \(XY\) spin chain and block Toeplitz determinants. Zbl 1118.81009
Its, A. R.; Jin, B.-Q.; Korepin, V. E.
11
2007
Ellipses of constant entropy in the \(XY\) spin chain. Zbl 1117.82012
Franchini, F.; Its, A. R.; Jin, B-Q; Korepin, V. E.
11
2007
Effective integration of the nonlinear vector Schrödinger equation. Zbl 1121.35129
Elgin, J. N.; Enolski, V. Z.; Its, A. R.
8
2007
Painlevé transcendents. The Riemann-Hilbert approach. Zbl 1111.34001
Fokas, Athanassios S.; Its, Alexander R.; Kapaev, Andrei A.; Novokshenov, Victor Yu.
148
2006
The nonlinear Schrödinger equation on the half-line. Zbl 1181.37095
Fokas, A. S.; Its, A. R.; Sung, L.-Y.
103
2005
Entanglement in the \(XY\) spin chain. Zbl 1112.82013
Its, A. R.; Jin, B. Q.; Korepin, V. E.
33
2005
Asymptotics of the partition function of a random matrix model. Zbl 1135.82016
Bleher, Pavel M.; Its, Alexander
25
2005
The nonlinear Schrödinger equation on the interval. Zbl 1057.37063
Fokas, A. S.; Its, A. R.
42
2004
On the Riemann-Hilbert-Birkhoff inverse monodromy problem and the Painlevé equations. Zbl 1077.34089
Bolibrukh, A. A.; Its, A. R.; Kapaev, A. A.
7
2004
Double scaling limit in the random matrix model: The Riemann-Hilbert approach. Zbl 1032.82014
Bleher, Pavel M.; Its, Alexander
57
2003
The Riemann-Hilbert problem and integrable systems. Zbl 1053.34081
Its, Alexander R.
26
2003
Quasi-linear Stokes phenomenon for the second Painlevé transcendent. Zbl 1048.34146
Its, A. R.; Kapaev, A. A.
17
2003
Integrable Fredholm operators and dual isomonodromic deformations. Zbl 1008.34082
Harnad, J.; Its, Alexander R.
27
2002
The nonlinear steepest descent approach to the asymptotics of the second Painlevé transcendent in the complex domain. Zbl 1047.34104
Its, A. R.; Kapaev, A. A.
10
2002
Random words, Toeplitz determinants and integrable systems. II. Zbl 0977.35103
Its, Alexander R.; Tracy, Craig A.; Widom, Harold
14
2001
Random words, Toeplitz determinants, and integrable systems. I. Zbl 0986.68104
Its, Alexander R.; Tracy, Craig A.; Widom, Harold
11
2001
Random matrix models and their applications. Based on talks and lectures from the workshop, Berkeley, CA, USA, February 22–26, 1999. Zbl 0967.00059
8
2001
The irreducibility of the second Painlevé equation and the isomonodromy method. Zbl 1048.34149
Its, A. R.; Kapaev, A. A.
2
2000
Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model. Zbl 0956.42014
Bleher, Pavel; Its, Alexander
119
1999
On the algebro-geometric integration of the Schlesinger equations. Zbl 0949.34075
Deift, P.; Its, A.; Kapaev, A.; Zhou, X.
18
1999
On the Riemann-Hilbert approach to asymptotic analysis of the correlation functions of the quantum nonlinear Schrödinger equation: Interacting fermion case. Zbl 0991.81016
Its, A. R.; Slavnov, N. A.
5
1999
On asymptotic analysis of orthogonal polynomials via the Riemann-Hilbert method. Zbl 0928.33005
Bleher, Pavel; Its, Alexander
2
1999
Connection formulae for the fourth Painlevé transcendent: Clarkson-McLeod solution. Zbl 0898.34006
Its, Alexander R.; Kapaev, Andrei A.
10
1998
A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics. Zbl 0936.47028
Deift, Percy A.; Its, Alexander R.; Zhou, Xin
93
1997
The linearization of the initial-boundary value problem of the nonlinear Schrödinger equation. Zbl 0851.35122
Fokas, A. S.; Its, A. R.
54
1996
Painlevé transcendent describes quantum correlation function of the XXZ antiferromagnet away from the free-fermion point. Zbl 0904.34010
Essler, F. H. L.; Frahm, H.; Its, A. R.; Korepin, V. E.
2
1996
Connection formulae for the Painlevé transcendents. Zbl 0857.34013
Its, Alexander R.
1
1996
Integro-difference equation for a correlation function of the spin-\(\frac 12\) Heisenberg \(XXZ\) chain. Zbl 1009.82506
Essler, Fabian H. L.; Frahm, Holger; Its, Alexander R.; Korepin, Vladimir E.
7
1995
The Painlevé III equation and the Iwasawa decomposition. Zbl 0827.35114
Bobenko, Alexander; Its, Alexander
6
1995
Integrable equations on the half-infinite line. Zbl 1080.35531
Fokas, A. S.; Its, A. R.
5
1995
Algebro-geometric approach to nonlinear integrable equations. Zbl 0809.35001
Belokolos, E. D.; Bobenko, A. I.; Enol’skij, V. Z.; Its, A. R.; Matveev, V. B.
308
1994
An initial-boundary value problem for the Korteweg-de Vries equation. Zbl 0832.35125
Fokas, A. S.; Its, A. R.
26
1994
On the asymptotic analysis of the Painlevé equations via the isomonodromy method. Zbl 0816.34039
Its, A. R.; Fokas, A. S.; Kapaev, A. A.
7
1994
Differential equation for a correlation function of the spin-\(\frac12\) Heisenberg chain. Zbl 1049.82508
Frahm, Holger; Its, Alexander R.; Korepin, Vladimir E.
3
1994
The matrix Riemann-Hilbert problem and differential equation for correlation function of the \(XXO\) Heisenberg chain. Zbl 0836.35113
Izergin, A. G.; Its, A. R.; Korepin, V. E.; Slavnov, N. A.
2
1994
Integrable equations with a forcing of a distribution type. Zbl 0806.35166
Fokas, A. S.; Its, A. R.; Novokshenov, V. Yu.
1
1994
Long-time asymptotics for integrable nonlinear wave equations. Zbl 0926.35132
Deift, P. A.; Its, A. R.; Zhou, X.
72
1993
Integrable differential equations for temperature correlation functions of the XXO Heisenberg chain. Zbl 0860.35120
Izergin, A. G.; Its, A. R.; Korepin, V. E.; Slavnov, N. A.
4
1993
The quantum correlation function as the \(\tau\) function of classical differential equations. Zbl 0814.35108
Its, A. R.; Izergin, A. G.; Korepin, V. E.; Slavnov, N. A.
4
1993
The isomonodromy method and the Painlevé equations. Zbl 0826.35119
Fokas, A. S.; Its, A. R.
3
1993
Integrable differential equations for temperature correlation functions of the Heisenberg XXO chain. Zbl 0810.35121
Izergin, A. G.; Its, A. R.; Korepin, V. E.; Slavnov, N. A.
3
1993
The isomonodromy approach to matrix models in 2D quantum gravity. Zbl 0760.35051
Fokas, A. S.; Its, A. R.; Kitaev, A. V.
214
1992
An initial-boundary value problem for the sine-Gordon equation in laboratory coordinates. Zbl 0802.35133
Fokas, A. S.; Its, A. R.
18
1992
Soliton generation for initial-boundary value problems. Zbl 0969.35537
Fokas, A. S.; Its, A. R.
14
1992
Large time and distance asymptotics of field correlation function of impenetrable bosons at finite temperature. Zbl 0800.35034
Its, A. R.; Izergin, A. G.; Korepin, V. E.; Varzugin, G. G.
12
1992
Continuous and discrete Painlevé equations. Zbl 0875.35115
Fokas, A. S.; Its, A. R.; Zhou, Xin
3
1992
The Painlevé transcendents as nonlinear special functions. Zbl 0869.34011
Its, A. R.
2
1992
...and 37 more Documents
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Cited by 1,430 Authors

62 Its, Alexander Rudolfovich
55 Geng, Xianguo
49 Fan, Engui
34 Kuijlaars, Arno B. J.
31 Bertola, Marco
27 Fokas, Athanassios S.
25 Lenells, Jonatan
24 Deift, Percy A.
22 Claeys, Tom
22 Xu, Shuaixia
18 Dai, Dan
17 Boutet de Monvel, Anne Marie
17 Chen, Yang
17 McLaughlin, Kenneth D. T.-R.
17 Shepelsky, Dmitry
17 Xu, Jian
17 Zhao, Yuqiu
16 Clarkson, Peter A.
16 Smirnov, Alexander O.
16 Wong, Roderick Sue-Chuen
15 Bothner, Thomas
15 Charlier, Christophe
15 Gesztesy, Fritz
15 Novokshenov, Viktor Yur’evich
15 Zhang, Lun
14 Erdős, László
14 Grava, Tamara
14 Kitaev, Alexander V.
14 Korepin, Vladimir E.
14 Lisovyy, Oleg
14 Ma, Wen-Xiu
13 Bleher, Pavel M.
13 Guo, Boling
13 Klein, Christian
13 Yau, Horng-Tzer
12 Baik, Jinho
12 Xia, Tie-Cheng
11 Aptekarev, Alexander Ivanovich
11 Basor, Estelle L.
11 Bobenko, Alexander Ivanovich
11 Böttcher, Albrecht
11 Cafasso, Mattia
11 Deaño, Alfredo
11 Forrester, Peter J.
11 Liu, Nan
11 Martínez-Finkelshtein, Andrei
11 Teschl, Gerald
11 Tian, Shoufu
11 Xue, Bo
11 Zeng, Xin
10 Chen, Jinbing
10 Grudsky, Sergei Mikhailovich
10 Krasovsky, Igor V.
10 Tovbis, Alexander
10 Van Assche, Walter
10 Widom, Harold
10 Yattselev, Maxim L.
10 Zhou, Xin
9 Biondini, Gino
9 Buckingham, Robert J.
9 Chen, Mingming
9 Duits, Maurice
9 Enolskiĭ, Viktor Zelikovich
9 Gavrylenko, Pavlo
9 He, Guoliang
9 Hu, Beibei
9 Kaikina, Elena Igorevna
9 Liechty, Karl
9 Miller, Peter D.
9 Slavnov, Nikita A.
9 Tracy, Craig Arnold
9 Wang, Kedong
9 Wei, Jiao
8 Deconinck, Bernard
8 Dubrovin, Boris Anatol’evich
8 Filipuk, Galina V.
8 Grassi, Alba
8 Hou, Yu
8 Joshi, Nalini
8 Kapaev, Andrei A.
8 Lambert, Gaultier
8 Matveev, Vladimir B.
8 Strahov, Eugene
8 Zhang, Hongqing
7 Blower, Gordon
7 Bonelli, Giulio
7 Borodin, Alexei
7 Dunne, Gerald V.
7 Himonas, A. Alexandrou
7 Hon, Yiu-Chung
7 Korotkin, Dmitrii A.
7 Kotlyarov, Vladimir P.
7 Kozlowski, Karol Kajetan
7 Mantzavinos, Dionyssios
7 Mo, Man Yue
7 Shramchenko, Vasilisa
7 Suleĭmanov, Bulat Irekovich
7 Tierz, Miguel
7 Witte, Nicholas S.
7 Yin, Jun
...and 1,330 more Authors
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Cited in 242 Serials

132 Communications in Mathematical Physics
114 Journal of Mathematical Physics
75 Physica D
61 Theoretical and Mathematical Physics
44 Journal of Approximation Theory
43 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
39 Letters in Mathematical Physics
36 Constructive Approximation
34 Journal of Mathematical Analysis and Applications
34 Journal of High Energy Physics
32 Studies in Applied Mathematics
29 Nonlinearity
29 Journal of Differential Equations
27 Nuclear Physics. B
26 Journal of Nonlinear Mathematical Physics
24 Communications on Pure and Applied Mathematics
24 Journal of Statistical Physics
24 Duke Mathematical Journal
24 Random Matrices: Theory and Applications
23 Chaos, Solitons and Fractals
23 Advances in Mathematics
21 Journal of Mathematical Sciences (New York)
21 Mathematical Physics, Analysis and Geometry
21 Journal of Statistical Mechanics: Theory and Experiment
19 Journal of Geometry and Physics
17 Applied Mathematics and Computation
17 Journal of Nonlinear Science
16 Mathematical Notes
15 Functional Analysis and its Applications
14 Journal of Physics A: Mathematical and Theoretical
14 Analysis and Mathematical Physics
13 The Annals of Probability
13 Journal of Soviet Mathematics
12 Journal of Computational and Applied Mathematics
12 Transactions of the American Mathematical Society
11 Physics Letters. A
11 Acta Applicandae Mathematicae
11 Annales Henri Poincaré
10 Journal d’Analyse Mathématique
10 Proceedings of the American Mathematical Society
10 Probability Theory and Related Fields
10 St. Petersburg Mathematical Journal
10 Computational Methods and Function Theory
10 Analysis and Applications (Singapore)
9 Reviews in Mathematical Physics
9 Applied Mathematics Letters
8 International Journal of Modern Physics B
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8 Journal of Functional Analysis
8 SIAM Journal on Mathematical Analysis
8 Bulletin of the American Mathematical Society. New Series
8 Integral Transforms and Special Functions
7 Linear Algebra and its Applications
7 Nonlinear Analysis. Real World Applications
6 Discrete and Continuous Dynamical Systems
6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Quantum Information Processing
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5 Annales de l’Institut Fourier
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5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
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4 Archive for Rational Mechanics and Analysis
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3 Acta Mathematicae Applicatae Sinica. English Series
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
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3 Electronic Journal of Probability
3 The Ramanujan Journal
3 Nonlinear Dynamics
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Cited in 56 Fields

675 Partial differential equations (35-XX)
472 Dynamical systems and ergodic theory (37-XX)
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257 Quantum theory (81-XX)
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230 Statistical mechanics, structure of matter (82-XX)
220 Linear and multilinear algebra; matrix theory (15-XX)
142 Functions of a complex variable (30-XX)
134 Algebraic geometry (14-XX)
117 Harmonic analysis on Euclidean spaces (42-XX)
107 Operator theory (47-XX)
100 Approximations and expansions (41-XX)
73 Numerical analysis (65-XX)
63 Difference and functional equations (39-XX)
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