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## Its, Alexander Rudolfovich

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 Author ID: 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 External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr
 Documents Indexed: 163 Publications since 1975, including 6 Books
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#### Co-Authors

 19 single-authored 22 Korepin, Vladimir E. 17 Fokas, Athanassios S. 14 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 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 Buckingham, Robert J. 2 Chen, Yang 2 Faddeev, Lyudvig Dmitrievich 2 Gharakhloo, Roozbeh 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 Basor, Estelle L. 1 Belokolos, Eugene D. 1 Bogatskiy, A. 1 Bolibrukh, Andreĭ Andreevich 1 Bornemann, Folkmar A. 1 DiFranco, Jeffery C. 1 Elgin, John N. 1 Farafonov, V. G. 1 Garoufalidis, Stavros 1 Jimbo, Michio 1 Keating, Jonathan P. 1 Kulagin, N. E. 1 Laptev, Ari 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.
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#### 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 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 Journal of Statistical Physics 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 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
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#### Fields

 70 Partial differential equations (35-XX) 55 Ordinary differential equations (34-XX) 35 Statistical mechanics, structure of matter (82-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 28 Quantum theory (81-XX) 23 Dynamical systems and ergodic theory (37-XX) 19 Operator theory (47-XX) 17 Special functions (33-XX) 15 Functions of a complex variable (30-XX) 9 Probability theory and stochastic processes (60-XX) 6 General and overarching topics; collections (00-XX) 6 Difference and functional equations (39-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Integral equations (45-XX) 4 History and biography (01-XX) 4 Algebraic geometry (14-XX) 3 Approximations and expansions (41-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 2 Number theory (11-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Relativity and gravitational theory (83-XX) 2 Information and communication theory, circuits (94-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH Open

136 Publications have been cited 2,675 times in 1,538 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.
1994
The isomonodromy approach to matrix models in 2D quantum gravity. Zbl 0760.35051
Fokas, A. S.; Its, A. R.; Kitaev, A. V.
1992
Painlevé transcendents. The Riemann-Hilbert approach. Zbl 1111.34001
Fokas, Athanassios S.; Its, Alexander R.; Kapaev, Andrei A.; Novokshenov, Victor Yu.
2006
Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model. Zbl 0956.42014
Bleher, Pavel; Its, Alexander
1999
Differential equations for quantum correlation functions. Zbl 0719.35091
Its, A. R.; Izergin, A. G.; Korepin, V. E.; Slavnov, N. A.
1990
The nonlinear Schrödinger equation on the half-line. Zbl 1181.37095
Fokas, A. S.; Its, A. R.; Sung, L.-Y.
2005
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
1997
Discrete Painlevé equations and their appearance in quantum gravity. Zbl 0742.35047
Fokas, A. S.; Its, A. R.; Kitaev, A. V.
1991
The isomonodromic deformation method in the theory of Painlevé equations. Zbl 0592.34001
Its, Alexander R.; Novokshenov, Victor Yu.
1986
Long-time asymptotics for integrable nonlinear wave equations. Zbl 0926.35132
Deift, P. A.; Its, A. R.; Zhou, X.
1993
Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Zbl 1232.15006
Deift, Percy; Its, Alexander; Krasovsky, Igor
2011
Double scaling limit in the random matrix model: The Riemann-Hilbert approach. Zbl 1032.82014
Bleher, Pavel M.; Its, Alexander
2003
The linearization of the initial-boundary value problem of the nonlinear Schrödinger equation. Zbl 0851.35122
Fokas, A. S.; Its, A. R.
1996
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
2013
Painlevé III and a singular linear statistics in Hermitian random matrix ensembles. I. Zbl 1189.33035
Chen, Yang; Its, Alexander
2010
Hill’s operator with finitely many gaps. Zbl 0318.34038
Its, A. R.; Matveev, V. B.
1975
The nonlinear Schrödinger equation on the interval. Zbl 1057.37063
Fokas, A. S.; Its, A. R.
2004
Asymptotics of the Airy-kernel determinant. Zbl 1167.15005
Deift, P.; Its, A.; Krasovsky, I.
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
2009
Entanglement in the $$XY$$ spin chain. Zbl 1112.82013
Its, A. R.; Jin, B. Q.; Korepin, V. E.
2005
Asymptotics of the instantons of Painlevé I. Zbl 1245.34087
Garoufalidis, Stavros; Its, Alexander; Kapaev, Andrei; Mariño, Marcos
2012
Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump. Zbl 1163.15027
Its, A.; Krasovsky, I.
2008
The Widom–Dyson constant for the gap probability in random matrix theory. Zbl 1116.15019
Deift, P.; Its, A.; Krasovsky, I.; Zhou, X.
2007
Connection problem for the sine-Gordon/Painlevé III tau function and irregular conformal blocks. Zbl 1329.34140
Its, Alexander; Lisovyy, Oleg; Tykhyy, Yuriy
2015
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
2008
Integrable Fredholm operators and dual isomonodromic deformations. Zbl 1008.34082
2002
An initial-boundary value problem for the Korteweg-de Vries equation. Zbl 0832.35125
Fokas, A. S.; Its, A. R.
1994
Higher-order analogues of the Tracy-Widom distribution and the Painlevé II hierarchy. Zbl 1198.34191
Claeys, Tom; Krasovsky, Igor; Its, Alexander
2010
The Riemann-Hilbert problem and integrable systems. Zbl 1053.34081
Its, Alexander R.
2003
Asymptotics of the partition function of a random matrix model. Zbl 1135.82016
Bleher, Pavel M.; Its, Alexander
2005
The isomonodromy approach in the theory of two-dimensional quantum gravitation. Zbl 0743.35055
Its, A. R.; Kitaev, A. V.; Fokas, A. S.
1990
Emergence of a singularity for Toeplitz determinants and Painlevé V. Zbl 1298.47039
Claeys, T.; Its, A.; Krasovsky, I.
2011
An initial-boundary value problem for the sine-Gordon equation in laboratory coordinates. Zbl 0802.35133
Fokas, A. S.; Its, A. R.
1992
Asymptotics of solutions of the nonlinear Schrödinger equation and isomonodromic deformations of systems of linear differential equations. Zbl 0534.35028
Its, A. R.
1981
Exact integration of nonlinear Schrödinger equation. Zbl 0678.35012
Its, A. R.; Rybin, A. V.; Sall’, M. A.
1988
Monodromy dependence and connection formulae for isomonodromic tau functions. Zbl 1396.33039
Its, A. R.; Lisovyy, O.; Prokhorov, A.
2018
On the asymptotics of a Toeplitz determinant with singularities. Zbl 1326.35218
Deift, Percy; Its, Alexander; Krasovsky, Igor
2014
Renyi entropy of the XY spin chain. Zbl 1189.82024
Franchini, F.; Its, A. R.; Korepin, V. E.
2008
On the algebro-geometric integration of the Schlesinger equations. Zbl 0949.34075
Deift, P.; Its, A.; Kapaev, A.; Zhou, X.
1999
Quasi-linear Stokes phenomenon for the second Painlevé transcendent. Zbl 1048.34146
Its, A. R.; Kapaev, A. A.
2003
Inversion of hyperelliptic integrals and integration of non-linear differential equations. Zbl 0336.35025
Its, A. R.
1976
Random words, Toeplitz determinants and integrable systems. II. Zbl 0977.35103
Its, Alexander R.; Tracy, Craig A.; Widom, Harold
2001
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
2015
Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition. Zbl 1138.35083
Boutet de Monvel, Anne; Its, Alexander; Kotlyarov, Vladimir
2007
Soliton generation for initial-boundary value problems. Zbl 0969.35537
Fokas, A. S.; Its, A. R.
1992
“Isomonodromy” solutions of equations of zero curvature. Zbl 0657.35121
Its, A. R.
1986
Temperature correlators of the impenetrable Bose gas as an integrable system. Zbl 0698.60094
Its, A. R.; Izergin, A. G.; Korepin, V. E.
1990
Long-distance asymptotics of temperature correlators of the impenetrable Bose gas. Zbl 0702.76089
Its, A. R.; Izergin, A. G.; Korepin, V. E.
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.
2016
Eigenvalues of Toeplitz matrices in the bulk of the spectrum. Zbl 1292.15029
Deift, P.; Its, A.; Krasovsky, I.
2012
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.
1992
Asymptotics for a special solution of the thirty fourth Painlevé equation. Zbl 1177.15038
Its, A. R.; Kuijlaars, A. B. J.; Östensson, J.
2009
Entanglement entropy in quantum spin chains with finite range interaction. Zbl 1157.82026
Its, A. R.; Mezzadri, F.; Mo, M. Y.
2008
Ellipses of constant entropy in the $$XY$$ spin chain. Zbl 1117.82012
Franchini, F.; Its, A. R.; Jin, B-Q; Korepin, V. E.
2007
Random words, Toeplitz determinants, and integrable systems. I. Zbl 0986.68104
Its, Alexander R.; Tracy, Craig A.; Widom, Harold
2001
Entropy of $$XY$$ spin chain and block Toeplitz determinants. Zbl 1118.81009
Its, A. R.; Jin, B.-Q.; Korepin, V. E.
2007
The method of isomonodromy deformations and connection formulas for the second Painlevé transcendent. Zbl 0681.34053
Its, A. R.; Kapaev, A. A.
1987
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
2015
Total integrals of global solutions to Painlevé II. Zbl 1179.33036
Baik, Jinho; Buckingham, Robert; Difranco, Jeffery; Its, Alexander
2009
Connection formulae for the fourth Painlevé transcendent: Clarkson-McLeod solution. Zbl 0898.34006
Its, Alexander R.; Kapaev, Andrei A.
1998
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.
2002
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.
1986
Algebro-geometric solutions of a boundary-value problem for the nonlinear Schrödinger equation. Zbl 0706.35124
Bikbaev, R. F.; Its, A. R.
1989
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
2016
Painlevé-type asymptotics for the Camassa-Holm equation. Zbl 1213.35357
Boutet De Monvel, Anne; Its, Alexander; Shepelsky, Dmitry
2010
Initial boundary value problem for the focusing nonlinear Schrödinger equation with Robin boundary condition: half-line approach. Zbl 1371.35272
Its, Alexander; Shepelsky, Dmitry
2013
Effective integration of the nonlinear vector Schrödinger equation. Zbl 1121.35129
Elgin, J. N.; Enolski, V. Z.; Its, A. R.
2007
Modulation instability of solutions of the nonlinear Schrödinger equation. Zbl 0718.35088
Alfimov, G. L.; Its, A. R.; Kulagin, N. E.
1990
“Isomonodromic” solutions of equations of zero curvature. Zbl 0589.35087
Its, A. R.
1985
Random matrix models and their applications. Based on talks and lectures from the workshop, Berkeley, CA, USA, February 22–26, 1999. Zbl 0967.00059
Bleher, Pavel (ed.); Its, Alexander (ed.)
2001
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.
1988
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.
1995
On the Riemann-Hilbert-Birkhoff inverse monodromy problem and the Painlevé equations. Zbl 1077.34089
Bolibrukh, A. A.; Its, A. R.; Kapaev, A. A.
2004
Large $$N$$ asymptotics in random matrices. The Riemann-Hilbert approach. Zbl 1248.15030
Its, Alexander R.
2011
The nonlinear steepest descent approach to the singular asymptotics of the second Painlevé transcendent. Zbl 1266.34142
Bothner, Thomas; Its, Alexander
2012
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
2015
The Fisher-Hartwig formula and entanglement entropy. Zbl 1183.82014
Its, A. R.; Korepin, V. E.
2009
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.
1986
On the asymptotic analysis of the Painlevé equations via the isomonodromy method. Zbl 0816.34039
Its, A. R.; Fokas, A. S.; Kapaev, A. A.
1994
Algebrogeometric integration of the MNS equation, finite-gap solutions and their degeneration. Zbl 0516.35025
Its, A. R.; Matveev, V. B.
1983
Coordinate asymptotics for the Schrödinger equation with a rapidly oscillating potential. Zbl 0346.35038
Its, A. R.; Matveev, V. B.
1975
Landau-Lifshitz equation, uniaxial anisotropy case: theory of exact solutions. Zbl 1303.82038
Bikbaev, R. F.; Bobenko, A. I.; Its, A. R.
2014
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
2017
A Riemann-Hilbert approach to the inverse problem for the Stark operator on the line. Zbl 1381.34109
Its, A.; Sukhanov, V.
2016
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.
1999
Integrable equations on the half-infinite line. Zbl 1080.35531
Fokas, A. S.; Its, A. R.
1995
On finite-zone integration of the Landau-Lifshits equation. Zbl 0556.35115
Bikbaev, R. F.; Bobenko, A. I.; Its, A. R.
1983
Liouville’s theorem and the method of the inverse problem. Zbl 0582.35108
Its, A. R.
1985
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
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
2014
Large-$$x$$ analysis of an operator-valued Riemann-Hilbert problem. Zbl 1359.47045
Its, A. R.; Kozlowski, K. K.
2016
Space correlations in one-dimensional impenetrable Bose gas at finite temperature. Zbl 0753.35093
Its, A. R.; Izergin, A. G.; Korepin, V. E.
1991
Matrix models of two-dimensional quantum gravity and isomonodromic solutions of “discrete Painlevé” equations. Zbl 0834.58041
Its, A. R.; Kitaev, A. V.; Fokas, A. S.
1991
The Painlevé III equation and the Iwasawa decomposition. Zbl 0827.35114
Bobenko, Alexander; Its, Alexander
1995
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.
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.
1993
Inversion of hyperelliptic integrals and integration of nonlinear differential equations. Zbl 0462.35015
Its, A. R.
1981
Asymptotics of solutions of the radial Schrödinger equation with an oscillating potential at zero energy. Zbl 0493.34044
Its, A. R.
1979
Liouville’s theorem and the inverse scattering method. Zbl 0555.35119
Its, A. R.
1984
On the Tracy-Widom$$_\beta$$ distribution for $$\beta=6$$. Zbl 1351.81059
Grava, Tamara; Its, Alexander; Kapaev, Andrei; Mezzadri, Francesco
2016
Large time asymptotics for the cylindrical Korteweg-de Vries equation. I. Zbl 1451.35163
Its, A.; Sukhanov, V.
2020
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
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
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.
2019
Monodromy dependence and connection formulae for isomonodromic tau functions. Zbl 1396.33039
Its, A. R.; Lisovyy, O.; Prokhorov, A.
2018
On some Hamiltonian properties of the isomonodromic tau functions. Zbl 1408.30036
Its, A. R.; Prokhorov, A.
2018
On some Hamiltonian properties of the isomonodromic tau functions. Zbl 1397.34155
Its, A. R.; Prokhorov, A.
2018
The sine process under the influence of a varying potential. Zbl 1404.60010
Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor
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
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.
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
2016
A Riemann-Hilbert approach to the inverse problem for the Stark operator on the line. Zbl 1381.34109
Its, A.; Sukhanov, V.
2016
Large-$$x$$ analysis of an operator-valued Riemann-Hilbert problem. Zbl 1359.47045
Its, A. R.; Kozlowski, K. K.
2016
On the Tracy-Widom$$_\beta$$ distribution for $$\beta=6$$. Zbl 1351.81059
Grava, Tamara; Its, Alexander; Kapaev, Andrei; Mezzadri, Francesco
2016
Connection problem for the sine-Gordon/Painlevé III tau function and irregular conformal blocks. Zbl 1329.34140
Its, Alexander; Lisovyy, Oleg; Tykhyy, Yuriy
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
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
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
2015
Asymptotics of a cubic sine kernel determinant. Zbl 1318.82015
Bothner, Thomas; Its, Alexander Rudol&rsquo;fovich
2015
On the asymptotics of a Toeplitz determinant with singularities. Zbl 1326.35218
Deift, Percy; Its, Alexander; Krasovsky, Igor
2014
Landau-Lifshitz equation, uniaxial anisotropy case: theory of exact solutions. Zbl 1303.82038
Bikbaev, R. F.; Bobenko, A. I.; Its, A. R.
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
2014
On determinants of integrable operators with shifts. Zbl 1302.47074
Its, A. R.; Kozlowski, K. K.
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
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
2013
Asymptotics of the instantons of Painlevé I. Zbl 1245.34087
Garoufalidis, Stavros; Its, Alexander; Kapaev, Andrei; Mariño, Marcos
2012
Eigenvalues of Toeplitz matrices in the bulk of the spectrum. Zbl 1292.15029
Deift, P.; Its, A.; Krasovsky, I.
2012
The nonlinear steepest descent approach to the singular asymptotics of the second Painlevé transcendent. Zbl 1266.34142
Bothner, Thomas; Its, Alexander
2012
Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Zbl 1232.15006
Deift, Percy; Its, Alexander; Krasovsky, Igor
2011
Emergence of a singularity for Toeplitz determinants and Painlevé V. Zbl 1298.47039
Claeys, T.; Its, A.; Krasovsky, I.
2011
Large $$N$$ asymptotics in random matrices. The Riemann-Hilbert approach. Zbl 1248.15030
Its, Alexander R.
2011
Riemann-Hilbert approach to the elastodynamic equation. I. Zbl 1276.35124
Its, Alexander; Its, Elizabeth; Kaplunov, Julius
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.
2011
Discrete Painlevé equations and orthogonal polynomials. Zbl 1229.39011
Its, Alexander
2011
Painlevé transcendents. Zbl 1280.34091
Its, Alexander R.
2011
On the Riemann-Hilbert-Birkhoff inverse monodromy problem associated with the third Painlevé equation. Zbl 1234.34055
Its, Alexander; Niles, David
2011
Painlevé III and a singular linear statistics in Hermitian random matrix ensembles. I. Zbl 1189.33035
Chen, Yang; Its, Alexander
2010
Higher-order analogues of the Tracy-Widom distribution and the Painlevé II hierarchy. Zbl 1198.34191
Claeys, Tom; Krasovsky, Igor; Its, Alexander
2010
Painlevé-type asymptotics for the Camassa-Holm equation. Zbl 1213.35357
Boutet De Monvel, Anne; Its, Alexander; Shepelsky, Dmitry
2010
Generalized entropy of the Heisenberg spin chain. Zbl 1252.82027
Its, A. R.; Korepin, V. E.
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
2009
Asymptotics for a special solution of the thirty fourth Painlevé equation. Zbl 1177.15038
Its, A. R.; Kuijlaars, A. B. J.; Östensson, J.
2009
Total integrals of global solutions to Painlevé II. Zbl 1179.33036
Baik, Jinho; Buckingham, Robert; Difranco, Jeffery; Its, Alexander
2009
The Fisher-Hartwig formula and entanglement entropy. Zbl 1183.82014
Its, A. R.; Korepin, V. E.
2009
Asymptotics of the Airy-kernel determinant. Zbl 1167.15005
Deift, P.; Its, A.; Krasovsky, I.
2008
Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump. Zbl 1163.15027
Its, A.; Krasovsky, I.
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
2008
Renyi entropy of the XY spin chain. Zbl 1189.82024
Franchini, F.; Its, A. R.; Korepin, V. E.
2008
Entanglement entropy in quantum spin chains with finite range interaction. Zbl 1157.82026
Its, A. R.; Mezzadri, F.; Mo, M. Y.
2008
A Riemann-Hilbert approach to the Akhiezer polynomials. Zbl 1153.37426
Chen, Yang; Its, Alexander R.
2008
The Widom–Dyson constant for the gap probability in random matrix theory. Zbl 1116.15019
Deift, P.; Its, A.; Krasovsky, I.; Zhou, X.
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
2007
Ellipses of constant entropy in the $$XY$$ spin chain. Zbl 1117.82012
Franchini, F.; Its, A. R.; Jin, B-Q; Korepin, V. E.
2007
Entropy of $$XY$$ spin chain and block Toeplitz determinants. Zbl 1118.81009
Its, A. R.; Jin, B.-Q.; Korepin, V. E.
2007
Effective integration of the nonlinear vector Schrödinger equation. Zbl 1121.35129
Elgin, J. N.; Enolski, V. Z.; Its, A. R.
2007
Painlevé transcendents. The Riemann-Hilbert approach. Zbl 1111.34001
Fokas, Athanassios S.; Its, Alexander R.; Kapaev, Andrei A.; Novokshenov, Victor Yu.
2006
The nonlinear Schrödinger equation on the half-line. Zbl 1181.37095
Fokas, A. S.; Its, A. R.; Sung, L.-Y.
2005
Entanglement in the $$XY$$ spin chain. Zbl 1112.82013
Its, A. R.; Jin, B. Q.; Korepin, V. E.
2005
Asymptotics of the partition function of a random matrix model. Zbl 1135.82016
Bleher, Pavel M.; Its, Alexander
2005
The nonlinear Schrödinger equation on the interval. Zbl 1057.37063
Fokas, A. S.; Its, A. R.
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.
2004
Double scaling limit in the random matrix model: The Riemann-Hilbert approach. Zbl 1032.82014
Bleher, Pavel M.; Its, Alexander
2003
The Riemann-Hilbert problem and integrable systems. Zbl 1053.34081
Its, Alexander R.
2003
Quasi-linear Stokes phenomenon for the second Painlevé transcendent. Zbl 1048.34146
Its, A. R.; Kapaev, A. A.
2003
Integrable Fredholm operators and dual isomonodromic deformations. Zbl 1008.34082
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.
2002
Random words, Toeplitz determinants and integrable systems. II. Zbl 0977.35103
Its, Alexander R.; Tracy, Craig A.; Widom, Harold
2001
Random words, Toeplitz determinants, and integrable systems. I. Zbl 0986.68104
Its, Alexander R.; Tracy, Craig A.; Widom, Harold
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
Bleher, Pavel; Its, Alexander
2001
The irreducibility of the second Painlevé equation and the isomonodromy method. Zbl 1048.34149
Its, A. R.; Kapaev, A. A.
2000
Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model. Zbl 0956.42014
Bleher, Pavel; Its, Alexander
1999
On the algebro-geometric integration of the Schlesinger equations. Zbl 0949.34075
Deift, P.; Its, A.; Kapaev, A.; Zhou, X.
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.
1999
On asymptotic analysis of orthogonal polynomials via the Riemann-Hilbert method. Zbl 0928.33005
Bleher, Pavel; Its, Alexander
1999
Connection formulae for the fourth Painlevé transcendent: Clarkson-McLeod solution. Zbl 0898.34006
Its, Alexander R.; Kapaev, Andrei A.
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
1997
The linearization of the initial-boundary value problem of the nonlinear Schrödinger equation. Zbl 0851.35122
Fokas, A. S.; Its, A. R.
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.
1996
Connection formulae for the Painlevé transcendents. Zbl 0857.34013
Its, Alexander R.
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.
1995
Integrable equations on the half-infinite line. Zbl 1080.35531
Fokas, A. S.; Its, A. R.
1995
The Painlevé III equation and the Iwasawa decomposition. Zbl 0827.35114
Bobenko, Alexander; Its, Alexander
1995
Algebro-geometric approach to nonlinear integrable equations. Zbl 0809.35001
Belokolos, E. D.; Bobenko, A. I.; Enol&rsquo;skij, V. Z.; Its, A. R.; Matveev, V. B.
1994
An initial-boundary value problem for the Korteweg-de Vries equation. Zbl 0832.35125
Fokas, A. S.; Its, A. R.
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.
1994
Differential equation for a correlation function of the spin-$$\frac12$$ Heisenberg chain. Zbl 1049.82508
Frahm, Holger; Its, Alexander R.; Korepin, Vladimir E.
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.
1994
Integrable equations with a forcing of a distribution type. Zbl 0806.35166
Fokas, A. S.; Its, A. R.; Novokshenov, V. Yu.
1994
Long-time asymptotics for integrable nonlinear wave equations. Zbl 0926.35132
Deift, P. A.; Its, A. R.; Zhou, X.
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.
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.
1993
The isomonodromy method and the Painlevé equations. Zbl 0826.35119
Fokas, A. S.; Its, A. R.
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.
1993
The isomonodromy approach to matrix models in 2D quantum gravity. Zbl 0760.35051
Fokas, A. S.; Its, A. R.; Kitaev, A. V.
1992
An initial-boundary value problem for the sine-Gordon equation in laboratory coordinates. Zbl 0802.35133
Fokas, A. S.; Its, A. R.
1992
Soliton generation for initial-boundary value problems. Zbl 0969.35537
Fokas, A. S.; Its, A. R.
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.
1992
Continuous and discrete Painlevé equations. Zbl 0875.35115
Fokas, A. S.; Its, A. R.; Zhou, Xin
1992
The Painlevé transcendents as nonlinear special functions. Zbl 0869.34011
Its, A. R.
1992
Algebrogeometric solutions of the nonlinear boundary problem on a segment for the sine-Gordon equation. Zbl 0811.35119
Bikbaev, R. F.; Its, A. R.
1992
...and 36 more Documents
all top 5

#### Cited by 1,309 Authors

 60 Its, Alexander Rudolfovich 46 Geng, Xianguo 42 Fan, Engui 34 Kuijlaars, Arno B. J. 29 Bertola, Marco 27 Fokas, Athanassios S. 23 Deift, Percy A. 22 Lenells, Jonatan 20 Claeys, Tom 19 Xu, Shuaixia 17 Chen, Yang 17 McLaughlin, Kenneth D. T.-R. 16 Boutet de Monvel, Anne Marie 16 Clarkson, Peter A. 16 Dai, Dan 16 Wong, Roderick Sue-Chuen 16 Zhao, Yuqiu 15 Gesztesy, Fritz 15 Shepelsky, Dmitry 15 Xu, Jian 14 Erdős, László 14 Grava, Tamara 14 Kitaev, Alexander V. 14 Korepin, Vladimir E. 14 Novokshenov, Viktor Yur’evich 14 Smirnov, Alexander O. 13 Bleher, Pavel M. 13 Bothner, Thomas 13 Klein, Christian 13 Yau, Horng-Tzer 12 Guo, Boling 12 Lisovyy, Oleg 12 Ma, Wen-Xiu 12 Zhang, Lun 11 Martínez-Finkelshtein, Andrei 11 Zeng, Xin 10 Aptekarev, Alexander Ivanovich 10 Baik, Jinho 10 Bobenko, Alexander Ivanovich 10 Böttcher, Albrecht 10 Cafasso, Mattia 10 Charlier, Christophe 10 Deaño, Alfredo 10 Krasovsky, Igor V. 10 Liu, Nan 10 Tovbis, Alexander 10 Widom, Harold 10 Xia, Tie-Cheng 10 Xue, Bo 10 Zhou, Xin 9 Basor, Estelle L. 9 Chen, Jinbing 9 Duits, Maurice 9 Enolskiĭ, Viktor Zelikovich 9 Forrester, Peter J. 9 Grudsky, Sergei Mikhailovich 9 Kaikina, Elena Igorevna 9 Slavnov, Nikita A. 9 Teschl, Gerald 9 Tian, Shoufu 9 Tracy, Craig Arnold 9 Van Assche, Walter 8 Biondini, Gino 8 Deconinck, Bernard 8 Dubrovin, Boris Anatol’evich 8 He, Guoliang 8 Hou, Yu 8 Joshi, Nalini 8 Kapaev, Andrei A. 8 Liechty, Karl 8 Zhang, Hongqing 7 Blower, Gordon 7 Bonelli, Giulio 7 Borodin, Alexei 7 Buckingham, Robert J. 7 Filipuk, Galina V. 7 Gavrylenko, Pavlo 7 Hon, Yiu-Chung 7 Hu, Beibei 7 Kotlyarov, Vladimir P. 7 Kozlowski, Karol Kajetan 7 Lambert, Gaultier 7 Miller, Peter D. 7 Mo, Man Yue 7 Strahov, Eugene 7 Suleĭmanov, Bulat Irekovich 7 Tierz, Miguel 7 Witte, Nicholas S. 7 Yattselev, Maxim L. 7 Yin, Jun 6 Bikbaev, Ramil’ F. 6 Dai, Huihui 6 Delvaux, Steven 6 Eynard, Bertrand 6 Grassi, Alba 6 Khabibullin, Ismagil Talgatovich 6 Huang, Lin 6 Lee, Seung-Yeop 6 Lesfari, Ahmed 6 Lubinsky, Doron S. ...and 1,209 more Authors
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#### Cited in 219 Serials

 130 Communications in Mathematical Physics 113 Journal of Mathematical Physics 64 Physica D 56 Theoretical and Mathematical Physics 42 Journal of Approximation Theory 40 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 37 Letters in Mathematical Physics 33 Constructive Approximation 32 Studies in Applied Mathematics 32 Journal of High Energy Physics 31 Journal of Mathematical Analysis and Applications 27 Nonlinearity 25 Journal of Nonlinear Mathematical Physics 24 Communications on Pure and Applied Mathematics 24 Nuclear Physics. B 23 Duke Mathematical Journal 23 Journal of Differential Equations 22 Journal of Statistical Physics 21 Journal of Mathematical Sciences (New York) 20 Chaos, Solitons and Fractals 20 Advances in Mathematics 20 Mathematical Physics, Analysis and Geometry 20 Random Matrices: Theory and Applications 19 Journal of Statistical Mechanics: Theory and Experiment 18 Journal of Geometry and Physics 17 Applied Mathematics and Computation 15 Functional Analysis and its Applications 14 Mathematical Notes 13 Journal of Soviet Mathematics 12 Journal of Computational and Applied Mathematics 12 Transactions of the American Mathematical Society 12 Journal of Nonlinear Science 11 The Annals of Probability 11 Acta Applicandae Mathematicae 11 Journal of Physics A: Mathematical and Theoretical 10 Journal d’Analyse Mathématique 10 Physics Letters. A 10 Probability Theory and Related Fields 9 Proceedings of the American Mathematical Society 9 Applied Mathematics Letters 9 St. Petersburg Mathematical Journal 9 Annales Henri Poincaré 9 Computational Methods and Function Theory 9 Analysis and Applications (Singapore) 9 Analysis and Mathematical Physics 8 International Journal of Modern Physics B 8 Reviews in Mathematical Physics 7 Applicable Analysis 7 Linear Algebra and its Applications 7 SIAM Journal on Mathematical Analysis 6 Journal of Functional Analysis 6 Bulletin of the American Mathematical Society. New Series 6 Integral Transforms and Special Functions 6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 6 Nonlinear Analysis. Real World Applications 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Quantum Information Processing 6 Proceedings of the Steklov Institute of Mathematics 6 Ufimskiĭ Matematicheskiĭ Zhurnal 5 Journal of Computational Physics 5 Reports on Mathematical Physics 5 Mathematics of Computation 5 Annales de l’Institut Fourier 5 Integral Equations and Operator Theory 5 Discrete and Continuous Dynamical Systems 5 Chaos 4 Archive for Rational Mechanics and Analysis 4 Acta Mathematica 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Transactions of the Moscow Mathematical Society 4 Revista Matemática Iberoamericana 4 Annals of Physics 4 Regular and Chaotic Dynamics 4 Foundations of Computational Mathematics 4 International Journal of Geometric Methods in Modern Physics 3 Modern Physics Letters B 3 Physics Letters. B 3 Inventiones Mathematicae 3 Mathematische Annalen 3 Mathematische Zeitschrift 3 Memoirs of the American Mathematical Society 3 Chinese Annals of Mathematics. Series B 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Applied Numerical Mathematics 3 Acta Mathematicae Applicatae Sinica. English Series 3 The Annals of Applied Probability 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Difference Equations and Applications 3 Electronic Journal of Probability 3 Sbornik: Mathematics 3 Nonlinear Dynamics 3 Journal of the European Mathematical Society (JEMS) 3 Physical Review Letters 3 Advances in Difference Equations 3 Complex Variables and Elliptic Equations 3 Complex Analysis and Operator Theory 2 International Journal of Theoretical Physics 2 Mathematical Methods in the Applied Sciences 2 Physica A 2 Physics Reports ...and 119 more Serials
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#### Cited in 55 Fields

 610 Partial differential equations (35-XX) 428 Dynamical systems and ergodic theory (37-XX) 308 Ordinary differential equations (34-XX) 239 Special functions (33-XX) 237 Quantum theory (81-XX) 218 Probability theory and stochastic processes (60-XX) 213 Statistical mechanics, structure of matter (82-XX) 206 Linear and multilinear algebra; matrix theory (15-XX) 130 Functions of a complex variable (30-XX) 129 Algebraic geometry (14-XX) 108 Harmonic analysis on Euclidean spaces (42-XX) 97 Operator theory (47-XX) 75 Approximations and expansions (41-XX) 70 Numerical analysis (65-XX) 56 Difference and functional equations (39-XX) 44 Fluid mechanics (76-XX) 43 Mechanics of particles and systems (70-XX) 40 Differential geometry (53-XX) 28 Integral equations (45-XX) 27 Combinatorics (05-XX) 25 Relativity and gravitational theory (83-XX) 22 Nonassociative rings and algebras (17-XX) 18 Several complex variables and analytic spaces (32-XX) 18 Optics, electromagnetic theory (78-XX) 16 Potential theory (31-XX) 15 Global analysis, analysis on manifolds (58-XX) 15 Statistics (62-XX) 13 Number theory (11-XX) 12 Functional analysis (46-XX) 11 Mechanics of deformable solids (74-XX) 11 Information and communication theory, circuits (94-XX) 10 Computer science (68-XX) 9 Integral transforms, operational calculus (44-XX) 7 Group theory and generalizations (20-XX) 6 History and biography (01-XX) 6 Topological groups, Lie groups (22-XX) 5 General and overarching topics; collections (00-XX) 5 Convex and discrete geometry (52-XX) 4 Real functions (26-XX) 4 Measure and integration (28-XX) 4 Manifolds and cell complexes (57-XX) 3 Field theory and polynomials (12-XX) 3 General topology (54-XX) 2 Associative rings and algebras (16-XX) 2 Sequences, series, summability (40-XX) 2 Abstract harmonic analysis (43-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

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