Edit Profile (opens in new tab) Its, Alexander Rudolfovich Compute Distance To: Compute Author ID: its.alexander-rudolfovich Published as: Its, A. R.; Its, Alexander; Its, Alexander R.; Its, A.; Its, Alexander Rudol’fovich more...less Homepage: http://math.iupui.edu/people/alexander-r-its External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 159 Publications since 1975, including 3 Books 6 Contributions as Editor Co-Authors: 87 Co-Authors with 146 Joint Publications 2,065 Co-Co-Authors all top 5 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 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 all top 5 Fields 71 Partial differential equations (35-XX) 56 Ordinary differential equations (34-XX) 36 Statistical mechanics, structure of matter (82-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 28 Quantum theory (81-XX) 23 Dynamical systems and ergodic theory (37-XX) 20 Operator theory (47-XX) 17 Special functions (33-XX) 15 Functions of a complex variable (30-XX) 10 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 137 Publications have been cited 2,846 times in 1,633 Documents Cited by ▼ Year ▼ Algebro-geometric approach to nonlinear integrable equations. Zbl 0809.35001Belokolos, E. D.; Bobenko, A. I.; Enol’skij, V. Z.; Its, A. R.; Matveev, V. B. 298 1994 The isomonodromy approach to matrix models in 2D quantum gravity. Zbl 0760.35051Fokas, A. S.; Its, A. R.; Kitaev, A. V. 211 1992 Painlevé transcendents. The Riemann-Hilbert approach. Zbl 1111.34001Fokas, Athanassios S.; Its, Alexander R.; Kapaev, Andrei A.; Novokshenov, Victor Yu. 143 2006 Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model. Zbl 0956.42014Bleher, Pavel; Its, Alexander 118 1999 Differential equations for quantum correlation functions. Zbl 0719.35091Its, A. R.; Izergin, A. G.; Korepin, V. E.; Slavnov, N. A. 111 1990 The nonlinear Schrödinger equation on the half-line. Zbl 1181.37095Fokas, A. S.; Its, A. R.; Sung, L.-Y. 101 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 0936.47028Deift, Percy A.; Its, Alexander R.; Zhou, Xin 93 1997 Discrete Painlevé equations and their appearance in quantum gravity. Zbl 0742.35047Fokas, A. S.; Its, A. R.; Kitaev, A. V. 92 1991 The isomonodromic deformation method in the theory of Painlevé equations. Zbl 0592.34001Its, Alexander R.; Novokshenov, Victor Yu. 83 1986 Long-time asymptotics for integrable nonlinear wave equations. Zbl 0926.35132Deift, P. A.; Its, A. R.; Zhou, X. 67 1993 Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Zbl 1232.15006Deift, Percy; Its, Alexander; Krasovsky, Igor 62 2011 Double scaling limit in the random matrix model: The Riemann-Hilbert approach. Zbl 1032.82014Bleher, Pavel M.; Its, Alexander 56 2003 Toeplitz matrices and Toeplitz determinants under the impetus of the Ising model: some history and some recent results. Zbl 1292.47016Deift, Percy; Its, Alexander; Krasovsky, Igor 56 2013 The linearization of the initial-boundary value problem of the nonlinear Schrödinger equation. Zbl 0851.35122Fokas, A. S.; Its, A. R. 54 1996 Painlevé III and a singular linear statistics in Hermitian random matrix ensembles. I. Zbl 1189.33035Chen, Yang; Its, Alexander 50 2010 Hill’s operator with finitely many gaps. Zbl 0318.34038Its, A. R.; Matveev, V. B. 44 1975 The nonlinear Schrödinger equation on the interval. Zbl 1057.37063Fokas, A. S.; Its, A. R. 40 2004 Asymptotics of the Airy-kernel determinant. Zbl 1167.15005Deift, P.; Its, A.; Krasovsky, I. 39 2008 Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition on the half-line. Zbl 1185.37153Boutet de Monvel, Anne; Its, Alexander; Kotlyarov, Vladimir 37 2009 Entanglement in the \(XY\) spin chain. Zbl 1112.82013Its, A. R.; Jin, B. Q.; Korepin, V. E. 32 2005 Asymptotics of the instantons of Painlevé I. Zbl 1245.34087Garoufalidis, Stavros; Its, Alexander; Kapaev, Andrei; Mariño, Marcos 32 2012 Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump. Zbl 1163.15027Its, A.; Krasovsky, I. 31 2008 Connection problem for the sine-Gordon/Painlevé III tau function and irregular conformal blocks. Zbl 1329.34140Its, Alexander; Lisovyy, Oleg; Tykhyy, Yuriy 30 2015 The Widom–Dyson constant for the gap probability in random matrix theory. Zbl 1116.15019Deift, P.; Its, A.; Krasovsky, I.; Zhou, X. 27 2007 Integrable Fredholm operators and dual isomonodromic deformations. Zbl 1008.34082Harnad, J.; Its, Alexander R. 27 2002 Critical edge behavior in unitary random matrix ensembles and the thirty-fourth Painlevé transcendent. Zbl 1141.82305Its, Alexander R.; Kuijlaars, Arno B. J.; Östensson, Jörgen 27 2008 An initial-boundary value problem for the Korteweg-de Vries equation. Zbl 0832.35125Fokas, A. S.; Its, A. R. 26 1994 Higher-order analogues of the Tracy-Widom distribution and the Painlevé II hierarchy. Zbl 1198.34191Claeys, Tom; Krasovsky, Igor; Its, Alexander 25 2010 The Riemann-Hilbert problem and integrable systems. Zbl 1053.34081Its, Alexander R. 24 2003 Asymptotics of the partition function of a random matrix model. Zbl 1135.82016Bleher, Pavel M.; Its, Alexander 24 2005 Asymptotics of solutions of the nonlinear Schrödinger equation and isomonodromic deformations of systems of linear differential equations. Zbl 0534.35028Its, A. R. 22 1981 Exact integration of nonlinear Schrödinger equation. Zbl 0678.35012Its, A. R.; Rybin, A. V.; Sall’, M. A. 21 1988 Emergence of a singularity for Toeplitz determinants and Painlevé V. Zbl 1298.47039Claeys, T.; Its, A.; Krasovsky, I. 21 2011 Monodromy dependence and connection formulae for isomonodromic tau functions. Zbl 1396.33039Its, A. R.; Lisovyy, O.; Prokhorov, A. 20 2018 The isomonodromy approach in the theory of two-dimensional quantum gravitation. Zbl 0743.35055Its, A. R.; Kitaev, A. V.; Fokas, A. S. 19 1990 On the asymptotics of a Toeplitz determinant with singularities. Zbl 1326.35218Deift, Percy; Its, Alexander; Krasovsky, Igor 19 2014 On the algebro-geometric integration of the Schlesinger equations. Zbl 0949.34075Deift, P.; Its, A.; Kapaev, A.; Zhou, X. 18 1999 An initial-boundary value problem for the sine-Gordon equation in laboratory coordinates. Zbl 0802.35133Fokas, A. S.; Its, A. R. 18 1992 Renyi entropy of the XY spin chain. Zbl 1189.82024Franchini, F.; Its, A. R.; Korepin, V. E. 18 2008 Hankel determinant and orthogonal polynomials for a Gaussian weight with a discontinuity at the edge. Zbl 1371.33034Bogatskiy, A.; Claeys, T.; Its, A. 17 2016 Quasi-linear Stokes phenomenon for the second Painlevé transcendent. Zbl 1048.34146Its, A. R.; Kapaev, A. A. 17 2003 Inversion of hyperelliptic integrals and integration of non-linear differential equations. Zbl 0336.35025Its, A. R. 17 1976 On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. I. Zbl 1321.82027Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 15 2015 Soliton generation for initial-boundary value problems. Zbl 0969.35537Fokas, A. S.; Its, A. R. 14 1992 Random words, Toeplitz determinants and integrable systems. II. Zbl 0977.35103Its, Alexander R.; Tracy, Craig A.; Widom, Harold 14 2001 Eigenvalues of Toeplitz matrices in the bulk of the spectrum. Zbl 1292.15029Deift, P.; Its, A.; Krasovsky, I. 14 2012 Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition. Zbl 1138.35083Boutet de Monvel, Anne; Its, Alexander; Kotlyarov, Vladimir 13 2007 “Isomonodromy” solutions of equations of zero curvature. Zbl 0657.35121Its, A. R. 13 1986 Temperature correlators of the impenetrable Bose gas as an integrable system. Zbl 0698.60094Its, A. R.; Izergin, A. G.; Korepin, V. E. 13 1990 Long-distance asymptotics of temperature correlators of the impenetrable Bose gas. Zbl 0702.76089Its, A. R.; Izergin, A. G.; Korepin, V. E. 13 1990 Asymptotics for a special solution of the thirty fourth Painlevé equation. Zbl 1177.15038Its, A. R.; Kuijlaars, A. B. J.; Östensson, J. 13 2009 Entanglement entropy in quantum spin chains with finite range interaction. Zbl 1157.82026Its, A. R.; Mezzadri, F.; Mo, M. Y. 12 2008 Painlevé-type asymptotics for the Camassa-Holm equation. Zbl 1213.35357Boutet De Monvel, Anne; Its, Alexander; Shepelsky, Dmitry 11 2010 Random words, Toeplitz determinants, and integrable systems. I. Zbl 0986.68104Its, Alexander R.; Tracy, Craig A.; Widom, Harold 11 2001 Large time and distance asymptotics of field correlation function of impenetrable bosons at finite temperature. Zbl 0800.35034Its, A. R.; Izergin, A. G.; Korepin, V. E.; Varzugin, G. G. 11 1992 Connection problem for the tau-function of the sine-Gordon reduction of Painlevé-III equation via the Riemann-Hilbert approach. Zbl 1404.34104Its, Alexander; Prokhorov, Andrei 11 2016 The method of isomonodromy deformations and connection formulas for the second Painlevé transcendent. Zbl 0681.34053Its, A. R.; Kapaev, A. A. 11 1987 Ellipses of constant entropy in the \(XY\) spin chain. Zbl 1117.82012Franchini, F.; Its, A. R.; Jin, B-Q; Korepin, V. E. 11 2007 Connection formulae for the fourth Painlevé transcendent: Clarkson-McLeod solution. Zbl 0898.34006Its, Alexander R.; Kapaev, Andrei A. 10 1998 Isomonodromy aspects of the \(\mathrm{tt}^*\) equations of Cecotti and Vafa. I: Stokes data. Zbl 1332.37050Guest, Martin A.; Its, Alexander R.; Lin, Chang-Shou 10 2015 The nonlinear steepest descent approach to the asymptotics of the second Painlevé transcendent in the complex domain. Zbl 1047.34104Its, A. R.; Kapaev, A. A. 10 2002 Entropy of \(XY\) spin chain and block Toeplitz determinants. Zbl 1118.81009Its, A. R.; Jin, B.-Q.; Korepin, V. E. 10 2007 Total integrals of global solutions to Painlevé II. Zbl 1179.33036Baik, Jinho; Buckingham, Robert; Difranco, Jeffery; Its, Alexander 10 2009 Initial boundary value problem for the focusing nonlinear Schrödinger equation with Robin boundary condition: half-line approach. Zbl 1371.35272Its, Alexander; Shepelsky, Dmitry 10 2013 Dynamics of the Calogero-Moser system and the reduction of hyperelliptic integrals of elliptic integrals. Zbl 0602.14031Its, A. R.; Ehnol’skij, V. Z. 9 1986 Algebro-geometric solutions of a boundary-value problem for the nonlinear Schrödinger equation. Zbl 0706.35124Bikbaev, R. F.; Its, A. R. 9 1989 The nonlinear steepest descent approach to the singular asymptotics of the second Painlevé transcendent. Zbl 1266.34142Bothner, Thomas; Its, Alexander 9 2012 Effective integration of the nonlinear vector Schrödinger equation. Zbl 1121.35129Elgin, J. N.; Enolski, V. Z.; Its, A. R. 8 2007 “Isomonodromic” solutions of equations of zero curvature. Zbl 0589.35087Its, A. R. 8 1985 Landau-Lifshitz equation, uniaxial anisotropy case: theory of exact solutions. Zbl 1303.82038Bikbaev, R. F.; Bobenko, A. I.; Its, A. R. 8 2014 Modulation instability of solutions of the nonlinear Schrödinger equation. Zbl 0718.35088Alfimov, 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 Integro-difference equation for a correlation function of the spin-\(\frac 12\) Heisenberg \(XXZ\) chain. Zbl 1009.82506Essler, Fabian H. L.; Frahm, Holger; Its, Alexander R.; Korepin, Vladimir E. 7 1995 Effective sufficient conditions for the solvability of the inverse problem of monodromy theory for systems of linear ordinary differential equations. Zbl 0810.34012Its, A. R.; Novokshenov, V. Yu. 7 1988 On the asymptotic analysis of the Painlevé equations via the isomonodromy method. Zbl 0816.34039Its, A. R.; Fokas, A. S.; Kapaev, A. A. 7 1994 On the Riemann-Hilbert-Birkhoff inverse monodromy problem and the Painlevé equations. Zbl 1077.34089Bolibrukh, A. A.; Its, A. R.; Kapaev, A. A. 7 2004 Large \(N\) asymptotics in random matrices. The Riemann-Hilbert approach. Zbl 1248.15030Its, Alexander R. 7 2011 Isomonodromy aspects of the \(\mathrm{tt}^*\) equations of Cecotti and Vafa. II: Riemann-Hilbert problem. Zbl 1312.81121Guest, Martin A.; Its, Alexander R.; Lin, Chang-Shou 7 2015 On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. II. Zbl 1382.82014Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 7 2017 A Riemann-Hilbert approach to the inverse problem for the Stark operator on the line. Zbl 1381.34109Its, A.; Sukhanov, V. 6 2016 On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo-Miwa-Ueno differential. Zbl 1447.60038Bothner, Thomas; Its, Alexander; Prokhorov, Andrei 6 2019 Temporal asymptotic solution of the Cauchy problem for the nonlinear Schrödinger equation with boundary conditions of the finite-density type. Zbl 0651.35015Its, A. R.; Ustinov, A. F. 6 1986 Algebrogeometric integration of the MNS equation, finite-gap solutions and their degeneration. Zbl 0516.35025Its, A. R.; Matveev, V. B. 6 1983 The Fisher-Hartwig formula and entanglement entropy. Zbl 1183.82014Its, A. R.; Korepin, V. E. 6 2009 Asymptotics of a Fredholm determinant corresponding to the first bulk critical universality class in random matrix models. Zbl 1290.15004Bothner, Thomas; Its, Alexander 6 2014 On the Riemann-Hilbert approach to asymptotic analysis of the correlation functions of the quantum nonlinear Schrödinger equation: Interacting fermion case. Zbl 0991.81016Its, A. R.; Slavnov, N. A. 5 1999 Large-\(x\) analysis of an operator-valued Riemann-Hilbert problem. Zbl 1359.47045Its, A. R.; Kozlowski, K. K. 5 2016 The Painlevé III equation and the Iwasawa decomposition. Zbl 0827.35114Bobenko, Alexander; Its, Alexander 5 1995 On finite-zone integration of the Landau-Lifshits equation. Zbl 0556.35115Bikbaev, R. F.; Bobenko, A. I.; Its, A. R. 5 1983 Liouville’s theorem and the method of the inverse problem. Zbl 0582.35108Its, A. R. 5 1985 Integrable equations on the half-infinite line. Zbl 1080.35531Fokas, A. S.; Its, A. R. 5 1995 Riemann-Hilbert approach to the elastodynamic equation. I. Zbl 1276.35124Its, Alexander; Its, Elizabeth; Kaplunov, Julius 4 2011 Coordinate asymptotics for the Schrödinger equation with a rapidly oscillating potential. Zbl 0346.35038Its, A. R.; Matveev, V. B. 4 1975 Matrix models of two-dimensional quantum gravity and isomonodromic solutions of “discrete Painlevé” equations. Zbl 0834.58041Its, A. R.; Kitaev, A. V.; Fokas, A. S. 4 1991 Asymptotics of solutions of the radial Schrödinger equation with an oscillating potential at zero energy. Zbl 0493.34044Its, A. R. 4 1979 Space correlations in one-dimensional impenetrable Bose gas at finite temperature. Zbl 0753.35093Its, A. R.; Izergin, A. G.; Korepin, V. E. 4 1991 On the Tracy-Widom\(_\beta\) distribution for \(\beta=6\). Zbl 1351.81059Grava, Tamara; Its, Alexander; Kapaev, Andrei; Mezzadri, Francesco 4 2016 Inversion of hyperelliptic integrals and integration of nonlinear differential equations. Zbl 0462.35015Its, A. R. 4 1981 On some Hamiltonian properties of the isomonodromic tau functions. Zbl 1408.30036Its, A. R.; Prokhorov, A. 4 2018 Liouville’s theorem and the inverse scattering method. Zbl 0555.35119Its, A. R. 4 1984 Isomonodromy aspects of the \(tt^*\) equations of Cecotti and Vafa. III: Iwasawa factorization and asymptotics. Zbl 1439.22027Guest, Martin A.; Its, Alexander R.; Lin, Chang-Shou 2 2020 A Riemann-Hilbert approach to asymptotic analysis of Toeplitz+Hankel determinants. Zbl 1457.15008Gharakhloo, Roozbeh; Its, Alexander 1 2020 Large time asymptotics for the cylindrical Korteweg-de Vries equation. I. Zbl 1451.35163Its, A.; Sukhanov, V. 1 2020 On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo-Miwa-Ueno differential. Zbl 1447.60038Bothner, Thomas; Its, Alexander; Prokhorov, Andrei 6 2019 A representation of joint moments of CUE characteristic polynomials in terms of Painlevé functions. Zbl 1423.60014Basor, Estelle; Bleher, Pavel; Buckingham, Robert; Grava, Tamara; Its, Alexander; Its, Elizabeth; Keating, Jonathan P. 4 2019 Monodromy dependence and connection formulae for isomonodromic tau functions. Zbl 1396.33039Its, A. R.; Lisovyy, O.; Prokhorov, A. 20 2018 On some Hamiltonian properties of the isomonodromic tau functions. Zbl 1408.30036Its, A. R.; Prokhorov, A. 4 2018 The sine process under the influence of a varying potential. Zbl 1404.60010Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 3 2018 On some Hamiltonian properties of the isomonodromic tau functions. Zbl 1397.34155Its, 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 1382.82014Bothner, 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 1371.33034Bogatskiy, A.; Claeys, T.; Its, A. 17 2016 Connection problem for the tau-function of the sine-Gordon reduction of Painlevé-III equation via the Riemann-Hilbert approach. Zbl 1404.34104Its, Alexander; Prokhorov, Andrei 11 2016 A Riemann-Hilbert approach to the inverse problem for the Stark operator on the line. Zbl 1381.34109Its, A.; Sukhanov, V. 6 2016 Large-\(x\) analysis of an operator-valued Riemann-Hilbert problem. Zbl 1359.47045Its, A. R.; Kozlowski, K. K. 5 2016 On the Tracy-Widom\(_\beta\) distribution for \(\beta=6\). Zbl 1351.81059Grava, Tamara; Its, Alexander; Kapaev, Andrei; Mezzadri, Francesco 4 2016 Connection problem for the sine-Gordon/Painlevé III tau function and irregular conformal blocks. Zbl 1329.34140Its, 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 1321.82027Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 15 2015 Isomonodromy aspects of the \(\mathrm{tt}^*\) equations of Cecotti and Vafa. I: Stokes data. Zbl 1332.37050Guest, 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 1312.81121Guest, Martin A.; Its, Alexander R.; Lin, Chang-Shou 7 2015 Asymptotics of a cubic sine kernel determinant. Zbl 1318.82015Bothner, Thomas; Its, Alexander Rudol’fovich 1 2015 On the asymptotics of a Toeplitz determinant with singularities. Zbl 1326.35218Deift, Percy; Its, Alexander; Krasovsky, Igor 19 2014 Landau-Lifshitz equation, uniaxial anisotropy case: theory of exact solutions. Zbl 1303.82038Bikbaev, 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 1290.15004Bothner, Thomas; Its, Alexander 6 2014 On determinants of integrable operators with shifts. Zbl 1302.47074Its, 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 1292.47016Deift, Percy; Its, Alexander; Krasovsky, Igor 56 2013 Initial boundary value problem for the focusing nonlinear Schrödinger equation with Robin boundary condition: half-line approach. Zbl 1371.35272Its, Alexander; Shepelsky, Dmitry 10 2013 Asymptotics of the instantons of Painlevé I. Zbl 1245.34087Garoufalidis, Stavros; Its, Alexander; Kapaev, Andrei; Mariño, Marcos 32 2012 Eigenvalues of Toeplitz matrices in the bulk of the spectrum. Zbl 1292.15029Deift, P.; Its, A.; Krasovsky, I. 14 2012 The nonlinear steepest descent approach to the singular asymptotics of the second Painlevé transcendent. Zbl 1266.34142Bothner, Thomas; Its, Alexander 9 2012 Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Zbl 1232.15006Deift, Percy; Its, Alexander; Krasovsky, Igor 62 2011 Emergence of a singularity for Toeplitz determinants and Painlevé V. Zbl 1298.47039Claeys, T.; Its, A.; Krasovsky, I. 21 2011 Large \(N\) asymptotics in random matrices. The Riemann-Hilbert approach. Zbl 1248.15030Its, Alexander R. 7 2011 Riemann-Hilbert approach to the elastodynamic equation. I. Zbl 1276.35124Its, Alexander; Its, Elizabeth; Kaplunov, Julius 4 2011 Spectrum of the density matrix of a large block of spins of the \(XY\) model in one dimension. Zbl 1216.81027Franchini, F.; Its, A. R.; Korepin, V. E.; Takhtajan, L. A. 4 2011 Painlevé transcendents. Zbl 1280.34091Its, Alexander R. 3 2011 On the Riemann-Hilbert-Birkhoff inverse monodromy problem associated with the third Painlevé equation. Zbl 1234.34055Its, Alexander; Niles, David 2 2011 Discrete Painlevé equations and orthogonal polynomials. Zbl 1229.39011Its, Alexander 2 2011 Painlevé III and a singular linear statistics in Hermitian random matrix ensembles. I. Zbl 1189.33035Chen, Yang; Its, Alexander 50 2010 Higher-order analogues of the Tracy-Widom distribution and the Painlevé II hierarchy. Zbl 1198.34191Claeys, Tom; Krasovsky, Igor; Its, Alexander 25 2010 Painlevé-type asymptotics for the Camassa-Holm equation. Zbl 1213.35357Boutet De Monvel, Anne; Its, Alexander; Shepelsky, Dmitry 11 2010 Generalized entropy of the Heisenberg spin chain. Zbl 1252.82027Its, 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 1185.37153Boutet de Monvel, Anne; Its, Alexander; Kotlyarov, Vladimir 37 2009 Asymptotics for a special solution of the thirty fourth Painlevé equation. Zbl 1177.15038Its, A. R.; Kuijlaars, A. B. J.; Östensson, J. 13 2009 Total integrals of global solutions to Painlevé II. Zbl 1179.33036Baik, Jinho; Buckingham, Robert; Difranco, Jeffery; Its, Alexander 10 2009 The Fisher-Hartwig formula and entanglement entropy. Zbl 1183.82014Its, A. R.; Korepin, V. E. 6 2009 Asymptotics of the Airy-kernel determinant. Zbl 1167.15005Deift, P.; Its, A.; Krasovsky, I. 39 2008 Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump. Zbl 1163.15027Its, A.; Krasovsky, I. 31 2008 Critical edge behavior in unitary random matrix ensembles and the thirty-fourth Painlevé transcendent. Zbl 1141.82305Its, Alexander R.; Kuijlaars, Arno B. J.; Östensson, Jörgen 27 2008 Renyi entropy of the XY spin chain. Zbl 1189.82024Franchini, F.; Its, A. R.; Korepin, V. E. 18 2008 Entanglement entropy in quantum spin chains with finite range interaction. Zbl 1157.82026Its, A. R.; Mezzadri, F.; Mo, M. Y. 12 2008 A Riemann-Hilbert approach to the Akhiezer polynomials. Zbl 1153.37426Chen, Yang; Its, Alexander R. 3 2008 The Widom–Dyson constant for the gap probability in random matrix theory. Zbl 1116.15019Deift, P.; Its, A.; Krasovsky, I.; Zhou, X. 27 2007 Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition. Zbl 1138.35083Boutet de Monvel, Anne; Its, Alexander; Kotlyarov, Vladimir 13 2007 Ellipses of constant entropy in the \(XY\) spin chain. Zbl 1117.82012Franchini, F.; Its, A. R.; Jin, B-Q; Korepin, V. E. 11 2007 Entropy of \(XY\) spin chain and block Toeplitz determinants. Zbl 1118.81009Its, A. R.; Jin, B.-Q.; Korepin, V. E. 10 2007 Effective integration of the nonlinear vector Schrödinger equation. Zbl 1121.35129Elgin, J. N.; Enolski, V. Z.; Its, A. R. 8 2007 Painlevé transcendents. The Riemann-Hilbert approach. Zbl 1111.34001Fokas, Athanassios S.; Its, Alexander R.; Kapaev, Andrei A.; Novokshenov, Victor Yu. 143 2006 The nonlinear Schrödinger equation on the half-line. Zbl 1181.37095Fokas, A. S.; Its, A. R.; Sung, L.-Y. 101 2005 Entanglement in the \(XY\) spin chain. Zbl 1112.82013Its, A. R.; Jin, B. Q.; Korepin, V. E. 32 2005 Asymptotics of the partition function of a random matrix model. Zbl 1135.82016Bleher, Pavel M.; Its, Alexander 24 2005 The nonlinear Schrödinger equation on the interval. Zbl 1057.37063Fokas, A. S.; Its, A. R. 40 2004 On the Riemann-Hilbert-Birkhoff inverse monodromy problem and the Painlevé equations. Zbl 1077.34089Bolibrukh, A. A.; Its, A. R.; Kapaev, A. A. 7 2004 Double scaling limit in the random matrix model: The Riemann-Hilbert approach. Zbl 1032.82014Bleher, Pavel M.; Its, Alexander 56 2003 The Riemann-Hilbert problem and integrable systems. Zbl 1053.34081Its, Alexander R. 24 2003 Quasi-linear Stokes phenomenon for the second Painlevé transcendent. Zbl 1048.34146Its, A. R.; Kapaev, A. A. 17 2003 Integrable Fredholm operators and dual isomonodromic deformations. Zbl 1008.34082Harnad, J.; Its, Alexander R. 27 2002 The nonlinear steepest descent approach to the asymptotics of the second Painlevé transcendent in the complex domain. Zbl 1047.34104Its, A. R.; Kapaev, A. A. 10 2002 Random words, Toeplitz determinants and integrable systems. II. Zbl 0977.35103Its, Alexander R.; Tracy, Craig A.; Widom, Harold 14 2001 Random words, Toeplitz determinants, and integrable systems. I. Zbl 0986.68104Its, 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 1048.34149Its, A. R.; Kapaev, A. A. 2 2000 Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model. Zbl 0956.42014Bleher, Pavel; Its, Alexander 118 1999 On the algebro-geometric integration of the Schlesinger equations. Zbl 0949.34075Deift, 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 0991.81016Its, A. R.; Slavnov, N. A. 5 1999 On asymptotic analysis of orthogonal polynomials via the Riemann-Hilbert method. Zbl 0928.33005Bleher, Pavel; Its, Alexander 2 1999 Connection formulae for the fourth Painlevé transcendent: Clarkson-McLeod solution. Zbl 0898.34006Its, 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 0936.47028Deift, Percy A.; Its, Alexander R.; Zhou, Xin 93 1997 The linearization of the initial-boundary value problem of the nonlinear Schrödinger equation. Zbl 0851.35122Fokas, A. S.; Its, A. R. 54 1996 Painlevé transcendent describes quantum correlation function of the XXZ antiferromagnet away from the free-fermion point. Zbl 0904.34010Essler, F. H. L.; Frahm, H.; Its, A. R.; Korepin, V. E. 2 1996 Connection formulae for the Painlevé transcendents. Zbl 0857.34013Its, Alexander R. 1 1996 Integro-difference equation for a correlation function of the spin-\(\frac 12\) Heisenberg \(XXZ\) chain. Zbl 1009.82506Essler, Fabian H. L.; Frahm, Holger; Its, Alexander R.; Korepin, Vladimir E. 7 1995 The Painlevé III equation and the Iwasawa decomposition. Zbl 0827.35114Bobenko, Alexander; Its, Alexander 5 1995 Integrable equations on the half-infinite line. Zbl 1080.35531Fokas, A. S.; Its, A. R. 5 1995 Algebro-geometric approach to nonlinear integrable equations. Zbl 0809.35001Belokolos, E. D.; Bobenko, A. I.; Enol’skij, V. Z.; Its, A. R.; Matveev, V. B. 298 1994 An initial-boundary value problem for the Korteweg-de Vries equation. Zbl 0832.35125Fokas, A. S.; Its, A. R. 26 1994 On the asymptotic analysis of the Painlevé equations via the isomonodromy method. Zbl 0816.34039Its, A. R.; Fokas, A. S.; Kapaev, A. A. 7 1994 Differential equation for a correlation function of the spin-\(\frac12\) Heisenberg chain. Zbl 1049.82508Frahm, 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 0836.35113Izergin, A. G.; Its, A. R.; Korepin, V. E.; Slavnov, N. A. 2 1994 Integrable equations with a forcing of a distribution type. Zbl 0806.35166Fokas, A. S.; Its, A. R.; Novokshenov, V. Yu. 1 1994 Long-time asymptotics for integrable nonlinear wave equations. Zbl 0926.35132Deift, P. A.; Its, A. R.; Zhou, X. 67 1993 Integrable differential equations for temperature correlation functions of the XXO Heisenberg chain. Zbl 0860.35120Izergin, 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 0814.35108Its, A. R.; Izergin, A. G.; Korepin, V. E.; Slavnov, N. A. 4 1993 Integrable differential equations for temperature correlation functions of the Heisenberg XXO chain. Zbl 0810.35121Izergin, A. G.; Its, A. R.; Korepin, V. E.; Slavnov, N. A. 3 1993 The isomonodromy method and the Painlevé equations. Zbl 0826.35119Fokas, A. S.; Its, A. R. 3 1993 The isomonodromy approach to matrix models in 2D quantum gravity. Zbl 0760.35051Fokas, A. S.; Its, A. R.; Kitaev, A. V. 211 1992 An initial-boundary value problem for the sine-Gordon equation in laboratory coordinates. Zbl 0802.35133Fokas, A. S.; Its, A. R. 18 1992 Soliton generation for initial-boundary value problems. Zbl 0969.35537Fokas, A. S.; Its, A. R. 14 1992 Large time and distance asymptotics of field correlation function of impenetrable bosons at finite temperature. Zbl 0800.35034Its, A. R.; Izergin, A. G.; Korepin, V. E.; Varzugin, G. G. 11 1992 Continuous and discrete Painlevé equations. Zbl 0875.35115Fokas, A. S.; Its, A. R.; Zhou, Xin 3 1992 The Painlevé transcendents as nonlinear special functions. Zbl 0869.34011Its, A. R. 2 1992 ...and 37 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,376 Authors 62 Its, Alexander Rudolfovich 50 Geng, Xianguo 47 Fan, Engui 34 Kuijlaars, Arno B. J. 30 Bertola, Marco 27 Fokas, Athanassios S. 25 Lenells, Jonatan 24 Deift, Percy A. 22 Xu, Shuaixia 20 Claeys, Tom 18 Dai, Dan 17 Boutet de Monvel, Anne Marie 17 Chen, Yang 17 McLaughlin, Kenneth D. T.-R. 17 Shepelsky, Dmitry 17 Zhao, Yuqiu 16 Clarkson, Peter A. 16 Smirnov, Alexander O. 16 Wong, Roderick Sue-Chuen 16 Xu, Jian 15 Gesztesy, Fritz 14 Erdős, László 14 Grava, Tamara 14 Kitaev, Alexander V. 14 Korepin, Vladimir E. 14 Lisovyy, Oleg 14 Ma, Wen-Xiu 14 Novokshenov, Viktor Yur’evich 14 Zhang, Lun 13 Bleher, Pavel M. 13 Bothner, Thomas 13 Guo, Boling 13 Klein, Christian 13 Yau, Horng-Tzer 12 Charlier, Christophe 11 Aptekarev, Alexander Ivanovich 11 Baik, Jinho 11 Basor, Estelle L. 11 Bobenko, Alexander Ivanovich 11 Böttcher, Albrecht 11 Deaño, Alfredo 11 Liu, Nan 11 Martínez-Finkelshtein, Andrei 11 Xia, Tie-Cheng 11 Xue, Bo 11 Zeng, Xin 10 Cafasso, Mattia 10 Forrester, Peter J. 10 Grudsky, Sergei Mikhailovich 10 Krasovsky, Igor V. 10 Teschl, Gerald 10 Tian, Shoufu 10 Tovbis, Alexander 10 Van Assche, Walter 10 Widom, Harold 10 Yattselev, Maxim L. 10 Zhou, Xin 9 Biondini, Gino 9 Chen, Jinbing 9 Duits, Maurice 9 Enolskiĭ, Viktor Zelikovich 9 Gavrylenko, Pavlo 9 Hu, Beibei 9 Kaikina, Elena Igorevna 9 Slavnov, Nikita A. 9 Tracy, Craig Arnold 8 Deconinck, Bernard 8 Dubrovin, Boris Anatol’evich 8 Grassi, Alba 8 He, Guoliang 8 Hou, Yu 8 Joshi, Nalini 8 Kapaev, Andrei A. 8 Lambert, Gaultier 8 Liechty, Karl 8 Matveev, Vladimir B. 8 Strahov, Eugene 8 Wei, Jiao 8 Zhang, Hongqing 7 Blower, Gordon 7 Bonelli, Giulio 7 Borodin, Alexei 7 Buckingham, Robert J. 7 Dunne, Gerald V. 7 Filipuk, Galina V. 7 Himonas, A. 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