Edit Profile (opens in new tab) Its, Alexander Rudolfovich Co-Author Distance 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: 168 Publications since 1975, including 3 Books and 8 Additional arXiv Preprints 6 Contributions as Editor Co-Authors: 96 Co-Authors with 155 Joint Publications 2,503 Co-Co-Authors all top 5 Co-Authors 19 single-authored 25 Korepin, Vladimir E. 17 Fokas, Athanassios S. 16 Deift, Percy A. 13 Krasovsky, Igor V. 12 Kapaev, Andrei A. 10 Izergin, Anatoli G. 8 Kitaev, Alexander V. 7 Bleher, Pavel M. 7 Bothner, Thomas 6 Matveev, Vladimir B. 6 Prokhorov, Andrei 6 Slavnov, Nikita A. 5 Bobenko, Alexander Ivanovich 5 Frahm, Holger 5 Guest, Martin A. 5 Novokshenov, Viktor Yur’evich 5 Zhou, Xin 4 Bikbaev, Ramil’ F. 4 Its, Elizabeth N. 4 Lin, Chang-Shou 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 Jin, Bai-Qi 3 Kotlyarov, Vladimir P. 3 Kozlowski, Karol Kajetan 3 Mezzadri, Francesco 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 Kuijlaars, Arno B. J. 2 Lisovyy, Oleg 2 Mo, Man Yue 2 Östensson, Jörgen 2 Shepelsky, Dmitry 2 Takhtajan, Leon Armenovich 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 Brightmore, L. 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 Gehér, György Pál 1 Göhmann, Frank 1 Jimbo, Michio 1 Kaplunov, Julius D. 1 Keating, Jonathan Peter 1 Kosmakov, Maksim 1 Kulagin, N. E. 1 Laptev, Ari 1 Li, Yuqi 1 Maillet, Jean-Michel 1 Marchenko, Vladimir Aleksandrovich 1 Mariño, Marcos 1 Miyahara, Kenta 1 Motovilov, Aleksandr Konstantinovich 1 Niles, David 1 Odoi, Ryosuke 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 Sung, Li-Yeng 1 Tarasov, Vitaly Olegovich 1 Tykhyy, Yuriy 1 Ural’tseva, Nina Nikolaevna 1 Virtanen, Jani A. 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 3 Journal of Physics A: Mathematical and Theoretical 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 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 73 Partial differential equations (35-XX) 57 Ordinary differential equations (34-XX) 38 Statistical mechanics, structure of matter (82-XX) 30 Quantum theory (81-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 24 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 Differential geometry (53-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 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 141 Publications have been cited 3,651 times in 2,049 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. 384 1994 The isomonodromy approach to matrix models in 2D quantum gravity. Zbl 0760.35051 Fokas, A. S.; Its, A. R.; Kitaev, A. V. 244 1992 Painlevé transcendents. The Riemann-Hilbert approach. Zbl 1111.34001 Fokas, Athanassios S.; Its, Alexander R.; Kapaev, Andrei A.; Novokshenov, Victor Yu. 217 2006 Differential equations for quantum correlation functions. Zbl 0719.35091 Its, A. R.; Izergin, A. G.; Korepin, V. E.; Slavnov, N. A. 143 1990 Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model. Zbl 0956.42014 Bleher, Pavel; Its, Alexander 130 1999 The nonlinear Schrödinger equation on the half-line. Zbl 1181.37095 Fokas, A. S.; Its, A. R.; Sung, L.-Y. 123 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 118 1997 Discrete Painlevé equations and their appearance in quantum gravity. Zbl 0742.35047 Fokas, A. S.; Its, A. R.; Kitaev, A. V. 113 1991 The isomonodromic deformation method in the theory of Painlevé equations. Zbl 0592.34001 Its, Alexander R.; Novokshenov, Victor Yu. 106 1986 Long-time asymptotics for integrable nonlinear wave equations. Zbl 0926.35132 Deift, P. A.; Its, A. R.; Zhou, X. 87 1993 Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Zbl 1232.15006 Deift, Percy; Its, Alexander; Krasovsky, Igor 85 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 77 2013 Painlevé III and a singular linear statistics in Hermitian random matrix ensembles. I. Zbl 1189.33035 Chen, Yang; Its, Alexander 72 2010 Double scaling limit in the random matrix model: The Riemann-Hilbert approach. Zbl 1032.82014 Bleher, Pavel M.; Its, Alexander 63 2003 The linearization of the initial-boundary value problem of the nonlinear Schrödinger equation. Zbl 0851.35122 Fokas, A. S.; Its, A. R. 62 1996 Hill’s operator with finitely many gaps. Zbl 0318.34038 Its, A. R.; Matveev, V. B. 55 1975 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 53 2009 The nonlinear Schrödinger equation on the interval. Zbl 1057.37063 Fokas, A. S.; Its, A. R. 51 2004 Asymptotics of the Airy-kernel determinant. Zbl 1167.15005 Deift, P.; Its, A.; Krasovsky, I. 50 2008 Asymptotics of the instantons of Painlevé I. Zbl 1245.34087 Garoufalidis, Stavros; Its, Alexander; Kapaev, Andrei; Mariño, Marcos 48 2012 Asymptotics of solutions of the nonlinear Schrödinger equation and isomonodromic deformations of systems of linear differential equations. Zbl 0534.35028 Its, A. R. 45 1981 Entanglement in the \(XY\) spin chain. Zbl 1112.82013 Its, A. R.; Jin, B. Q.; Korepin, V. E. 43 2005 Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump. Zbl 1163.15027 Its, A.; Krasovsky, I. 43 2008 Higher-order analogues of the Tracy-Widom distribution and the Painlevé II hierarchy. Zbl 1198.34191 Claeys, Tom; Krasovsky, Igor; Its, Alexander 36 2010 Connection problem for the sine-Gordon/Painlevé III tau function and irregular conformal blocks. Zbl 1329.34140 Its, Alexander; Lisovyy, Oleg; Tykhyy, Yuriy 35 2015 The Widom–Dyson constant for the gap probability in random matrix theory. Zbl 1116.15019 Deift, P.; Its, A.; Krasovsky, I.; Zhou, X. 34 2007 Monodromy dependence and connection formulae for isomonodromic tau functions. Zbl 1396.33039 Its, A. R.; Lisovyy, O.; Prokhorov, A. 32 2018 The Riemann-Hilbert problem and integrable systems. Zbl 1053.34081 Its, Alexander R. 32 2003 An initial-boundary value problem for the Korteweg-de Vries equation. Zbl 0832.35125 Fokas, A. S.; Its, A. R. 31 1994 Asymptotics of the partition function of a random matrix model. Zbl 1135.82016 Bleher, Pavel M.; Its, Alexander 31 2005 Integrable Fredholm operators and dual isomonodromic deformations. Zbl 1008.34082 Harnad, J.; Its, Alexander R. 28 2002 Exact integration of nonlinear Schrödinger equation. Zbl 0678.35012 Its, A. R.; Rybin, A. V.; Sall’, M. A. 28 1988 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 On the asymptotics of a Toeplitz determinant with singularities. Zbl 1326.35218 Deift, Percy; Its, Alexander; Krasovsky, Igor 26 2014 Renyi entropy of the XY spin chain. Zbl 1189.82024 Franchini, F.; Its, A. R.; Korepin, V. E. 26 2008 Hankel determinant and orthogonal polynomials for a Gaussian weight with a discontinuity at the edge. Zbl 1371.33034 Bogatskiy, A.; Claeys, T.; Its, A. 25 2016 Emergence of a singularity for Toeplitz determinants and Painlevé V. Zbl 1298.47039 Claeys, T.; Its, A.; Krasovsky, I. 25 2011 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 23 2015 The isomonodromy approach in the theory of two-dimensional quantum gravitation. Zbl 0743.35055 Its, A. R.; Kitaev, A. V.; Fokas, A. S. 22 1990 Inversion of hyperelliptic integrals and integration of non-linear differential equations. Zbl 0336.35025 Its, A. R. 21 1976 Painlevé-type asymptotics for the Camassa-Holm equation. Zbl 1213.35357 Boutet De Monvel, Anne; Its, Alexander; Shepelsky, Dmitry 21 2010 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 20 2019 An initial-boundary value problem for the sine-Gordon equation in laboratory coordinates. Zbl 0802.35133 Fokas, A. S.; Its, A. R. 20 1992 On the algebro-geometric integration of the Schlesinger equations. Zbl 0949.34075 Deift, P.; Its, A.; Kapaev, A.; Zhou, X. 19 1999 Soliton generation for initial-boundary value problems. Zbl 0969.35537 Fokas, A. S.; Its, A. R. 19 1992 Quasi-linear Stokes phenomenon for the second Painlevé transcendent. Zbl 1048.34146 Its, A. R.; Kapaev, A. A. 18 2003 Random words, Toeplitz determinants and integrable systems. II. Zbl 0977.35103 Its, Alexander R.; Tracy, Craig A.; Widom, Harold 18 2001 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 18 2016 Eigenvalues of Toeplitz matrices in the bulk of the spectrum. Zbl 1292.15029 Deift, P.; Its, A.; Krasovsky, I. 18 2012 Connection formulae for the fourth Painlevé transcendent: Clarkson-McLeod solution. Zbl 0898.34006 Its, Alexander R.; Kapaev, Andrei A. 16 1998 Entanglement entropy in quantum spin chains with finite range interaction. Zbl 1157.82026 Its, A. R.; Mezzadri, F.; Mo, M. Y. 16 2008 Temperature correlators of the impenetrable Bose gas as an integrable system. Zbl 0698.60094 Its, A. R.; Izergin, A. G.; Korepin, V. E. 15 1990 Asymptotics for a special solution of the thirty fourth Painlevé equation. Zbl 1177.15038 Its, A. R.; Kuijlaars, A. B. J.; Östensson, J. 15 2009 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 14 2015 Random matrix models and their applications. Based on talks and lectures from the workshop, Berkeley, CA, USA, February 22–26, 1999. Zbl 0967.00059 13 2001 Random words, Toeplitz determinants, and integrable systems. I. Zbl 0986.68104 Its, Alexander R.; Tracy, Craig A.; Widom, Harold 13 2001 Initial boundary value problem for the focusing nonlinear Schrödinger equation with Robin boundary condition: half-line approach. Zbl 1371.35272 Its, Alexander; Shepelsky, Dmitry 13 2013 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 “Isomonodromy” solutions of equations of zero curvature. Zbl 0657.35121 Its, A. R. 13 1986 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. 13 1992 Total integrals of global solutions to Painlevé II. Zbl 1179.33036 Baik, Jinho; Buckingham, Robert; Difranco, Jeffery; Its, Alexander 13 2009 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 Ellipses of constant entropy in the \(XY\) spin chain. Zbl 1117.82012 Franchini, F.; Its, A. R.; Jin, B-Q; Korepin, V. E. 13 2007 The nonlinear steepest descent approach to the singular asymptotics of the second Painlevé transcendent. Zbl 1266.34142 Bothner, Thomas; Its, Alexander 13 2012 The method of isomonodromy deformations and connection formulas for the second Painlevé transcendent. Zbl 0681.34053 Its, A. R.; Kapaev, A. A. 12 1987 Entropy of \(XY\) spin chain and block Toeplitz determinants. Zbl 1118.81009 Its, A. R.; Jin, B.-Q.; Korepin, V. E. 12 2007 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. 11 2002 Large \(N\) asymptotics in random matrices. The Riemann-Hilbert approach. Zbl 1248.15030 Its, Alexander R. 11 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 10 2015 Dynamics of the Calogero-Moser system and the reduction of hyperelliptic integrals of elliptic integrals. Zbl 0602.14031 Its, A. R.; Ènol’skiĭ, V. Z. 10 1986 Effective integration of the nonlinear vector Schrödinger equation. Zbl 1121.35129 Elgin, J. N.; Enolski, V. Z.; Its, A. R. 10 2007 On the Tracy-Widom\(_\beta\) distribution for \(\beta=6\). Zbl 1351.81059 Grava, Tamara; Its, Alexander; Kapaev, Andrei; Mezzadri, Francesco 9 2016 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. 9 2019 Algebro-geometric solutions of a boundary-value problem for the nonlinear Schrödinger equation. Zbl 0706.35124 Bikbaev, R. F.; Its, A. R. 9 1989 Landau-Lifshitz equation, uniaxial anisotropy case: theory of exact solutions. Zbl 1303.82038 Bikbaev, R. F.; Bobenko, A. I.; Its, A. R. 9 2014 A Riemann-Hilbert approach to the inverse problem for the Stark operator on the line. Zbl 1381.34109 Its, A.; Sukhanov, V. 9 2016 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 8 2017 “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 On some Hamiltonian properties of the isomonodromic tau functions. Zbl 1408.30036 Its, A. R.; Prokhorov, A. 8 2018 On the asymptotic analysis of the Painlevé equations via the isomonodromy method. Zbl 0816.34039 Its, A. R.; Fokas, A. S.; Kapaev, A. A. 8 1994 On finite-zone integration of the Landau-Lifshits equation. Zbl 0556.35115 Bikbaev, R. F.; Bobenko, A. I.; Its, A. R. 8 1983 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 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 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. 7 1986 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 Algebrogeometric integration of the MNS equation, finite-gap solutions and their degeneration. Zbl 0516.35025 Its, A. R.; Matveev, V. B. 7 1983 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 The Fisher-Hartwig formula and entanglement entropy. Zbl 1183.82014 Its, A. R.; Korepin, V. E. 7 2009 The Painlevé III equation and the Iwasawa decomposition. Zbl 0827.35114 Bobenko, Alexander; Its, Alexander 6 1995 Large-\(x\) analysis of an operator-valued Riemann-Hilbert problem. Zbl 1359.47045 Its, A. R.; Kozlowski, K. K. 6 2016 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. 6 2011 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 6 2020 Inversion of hyperelliptic integrals and integration of nonlinear differential equations. Zbl 0462.35015 Its, A. R. 5 1981 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 The sine process under the influence of a varying potential. Zbl 1404.60010 Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 5 2018 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 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. 5 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. 5 1993 Asymptotics of bordered Toeplitz determinants and next-to-diagonal Ising correlations. Zbl 07491685 Basor, Estelle; Ehrhardt, Torsten; Gharakhloo, Roozbeh; Its, Alexander; Li, Yuqi 1 2022 Harold Widom’s work in random matrix theory. Zbl 1486.60011 Corwin, Ivan Z.; Deift, Percy A.; Its, Alexander R. 1 2022 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 6 2020 Entanglement entropy of two disjoint intervals separated by one spin in a chain of free fermion. Zbl 1506.81024 Brightmore, L.; Gehér, G. P.; Its, A. R.; Korepin, V. E.; Mezzadri, F.; Mo, M. Y.; Virtanen, J. A. 2 2020 A Riemann-Hilbert approach to asymptotic analysis of Toeplitz+Hankel determinants. Zbl 1457.15008 Gharakhloo, Roozbeh; Its, Alexander 2 2020 Large time asymptotics for the cylindrical Korteweg-de Vries equation. I. Zbl 1451.35163 Its, A.; Sukhanov, V. 2 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 20 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. 9 2019 Monodromy dependence and connection formulae for isomonodromic tau functions. Zbl 1396.33039 Its, A. R.; Lisovyy, O.; Prokhorov, A. 32 2018 On some Hamiltonian properties of the isomonodromic tau functions. Zbl 1408.30036 Its, A. R.; Prokhorov, A. 8 2018 The sine process under the influence of a varying potential. Zbl 1404.60010 Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 5 2018 On some Hamiltonian properties of the isomonodromic tau functions. Zbl 1397.34155 Its, A. R.; Prokhorov, A. 3 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 8 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. 25 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 18 2016 On the Tracy-Widom\(_\beta\) distribution for \(\beta=6\). Zbl 1351.81059 Grava, Tamara; Its, Alexander; Kapaev, Andrei; Mezzadri, Francesco 9 2016 A Riemann-Hilbert approach to the inverse problem for the Stark operator on the line. Zbl 1381.34109 Its, A.; Sukhanov, V. 9 2016 Large-\(x\) analysis of an operator-valued Riemann-Hilbert problem. Zbl 1359.47045 Its, A. R.; Kozlowski, K. K. 6 2016 The asymptotic behavior of the discrete holomorphic map \(Z^a\) via the Riemann-Hilbert method. Zbl 1354.30041 Bobenko, Alexander I.; Its, Alexander 1 2016 Connection problem for the sine-Gordon/Painlevé III tau function and irregular conformal blocks. Zbl 1329.34140 Its, Alexander; Lisovyy, Oleg; Tykhyy, Yuriy 35 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 23 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 14 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 10 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 26 2014 Landau-Lifshitz equation, uniaxial anisotropy case: theory of exact solutions. Zbl 1303.82038 Bikbaev, R. F.; Bobenko, A. I.; Its, A. R. 9 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 77 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 13 2013 Asymptotics of the instantons of Painlevé I. Zbl 1245.34087 Garoufalidis, Stavros; Its, Alexander; Kapaev, Andrei; Mariño, Marcos 48 2012 Eigenvalues of Toeplitz matrices in the bulk of the spectrum. Zbl 1292.15029 Deift, P.; Its, A.; Krasovsky, I. 18 2012 The nonlinear steepest descent approach to the singular asymptotics of the second Painlevé transcendent. Zbl 1266.34142 Bothner, Thomas; Its, Alexander 13 2012 Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. Zbl 1232.15006 Deift, Percy; Its, Alexander; Krasovsky, Igor 85 2011 Emergence of a singularity for Toeplitz determinants and Painlevé V. Zbl 1298.47039 Claeys, T.; Its, A.; Krasovsky, I. 25 2011 Large \(N\) asymptotics in random matrices. The Riemann-Hilbert approach. Zbl 1248.15030 Its, Alexander R. 11 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. 6 2011 Discrete Painlevé equations and orthogonal polynomials. Zbl 1229.39011 Its, Alexander 4 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 Painlevé III and a singular linear statistics in Hermitian random matrix ensembles. I. Zbl 1189.33035 Chen, Yang; Its, Alexander 72 2010 Higher-order analogues of the Tracy-Widom distribution and the Painlevé II hierarchy. Zbl 1198.34191 Claeys, Tom; Krasovsky, Igor; Its, Alexander 36 2010 Painlevé-type asymptotics for the Camassa-Holm equation. Zbl 1213.35357 Boutet De Monvel, Anne; Its, Alexander; Shepelsky, Dmitry 21 2010 Generalized entropy of the Heisenberg spin chain. Zbl 1252.82027 Its, A. R.; Korepin, V. E. 3 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 53 2009 Asymptotics for a special solution of the thirty fourth Painlevé equation. Zbl 1177.15038 Its, A. R.; Kuijlaars, A. B. J.; Östensson, J. 15 2009 Total integrals of global solutions to Painlevé II. Zbl 1179.33036 Baik, Jinho; Buckingham, Robert; Difranco, Jeffery; Its, Alexander 13 2009 The Fisher-Hartwig formula and entanglement entropy. Zbl 1183.82014 Its, A. R.; Korepin, V. E. 7 2009 Asymptotics of the Airy-kernel determinant. Zbl 1167.15005 Deift, P.; Its, A.; Krasovsky, I. 50 2008 Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump. Zbl 1163.15027 Its, A.; Krasovsky, I. 43 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. 26 2008 Entanglement entropy in quantum spin chains with finite range interaction. Zbl 1157.82026 Its, A. R.; Mezzadri, F.; Mo, M. Y. 16 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. 34 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 Ellipses of constant entropy in the \(XY\) spin chain. Zbl 1117.82012 Franchini, F.; Its, A. R.; Jin, B-Q; Korepin, V. E. 13 2007 Entropy of \(XY\) spin chain and block Toeplitz determinants. Zbl 1118.81009 Its, A. R.; Jin, B.-Q.; Korepin, V. E. 12 2007 Effective integration of the nonlinear vector Schrödinger equation. Zbl 1121.35129 Elgin, J. N.; Enolski, V. Z.; Its, A. R. 10 2007 Painlevé transcendents. The Riemann-Hilbert approach. Zbl 1111.34001 Fokas, Athanassios S.; Its, Alexander R.; Kapaev, Andrei A.; Novokshenov, Victor Yu. 217 2006 The nonlinear Schrödinger equation on the half-line. Zbl 1181.37095 Fokas, A. S.; Its, A. R.; Sung, L.-Y. 123 2005 Entanglement in the \(XY\) spin chain. Zbl 1112.82013 Its, A. R.; Jin, B. Q.; Korepin, V. E. 43 2005 Asymptotics of the partition function of a random matrix model. Zbl 1135.82016 Bleher, Pavel M.; Its, Alexander 31 2005 The nonlinear Schrödinger equation on the interval. Zbl 1057.37063 Fokas, A. S.; Its, A. R. 51 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 63 2003 The Riemann-Hilbert problem and integrable systems. Zbl 1053.34081 Its, Alexander R. 32 2003 Quasi-linear Stokes phenomenon for the second Painlevé transcendent. Zbl 1048.34146 Its, A. R.; Kapaev, A. A. 18 2003 Integrable Fredholm operators and dual isomonodromic deformations. Zbl 1008.34082 Harnad, J.; Its, Alexander R. 28 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. 11 2002 Random words, Toeplitz determinants and integrable systems. II. Zbl 0977.35103 Its, Alexander R.; Tracy, Craig A.; Widom, Harold 18 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 13 2001 Random words, Toeplitz determinants, and integrable systems. I. Zbl 0986.68104 Its, Alexander R.; Tracy, Craig A.; Widom, Harold 13 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 130 1999 On the algebro-geometric integration of the Schlesinger equations. Zbl 0949.34075 Deift, P.; Its, A.; Kapaev, A.; Zhou, X. 19 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. 16 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 118 1997 The linearization of the initial-boundary value problem of the nonlinear Schrödinger equation. Zbl 0851.35122 Fokas, A. S.; Its, A. R. 62 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. 4 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. 384 1994 An initial-boundary value problem for the Korteweg-de Vries equation. Zbl 0832.35125 Fokas, A. S.; Its, A. R. 31 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. 8 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. 87 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. 5 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. 5 1993 The isomonodromy method and the Painlevé equations. Zbl 0826.35119 Fokas, A. S.; Its, A. R. 4 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. 244 1992 An initial-boundary value problem for the sine-Gordon equation in laboratory coordinates. Zbl 0802.35133 Fokas, A. S.; Its, A. R. 20 1992 ...and 41 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,712 Authors 66 Geng, Xianguo 64 Its, Alexander Rudolfovich 58 Fan, Engui 42 Chen, Yang 39 Bertola, Marco 38 Kuijlaars, Arno B. J. 33 Lenells, Jonatan 29 Fokas, Athanassios S. 27 Xu, Shuaixia 25 Claeys, Tom 25 Deift, Percy A. 22 Charlier, Christophe 20 Dai, Dan 20 Zhao, Yuqiu 19 Shepelsky, Dmitry 19 Xu, Jian 18 Grava, Tamara 18 McLaughlin, Kenneth D. T.-R. 18 Smirnov, Alexander O. 17 Boutet de Monvel, Anne Marie 17 Klein, Christian 17 Tian, Shoufu 17 Tovbis, Alexander 17 Wong, Roderick Sue-Chuen 17 Xia, Tie-Cheng 17 Zhang, Lun 16 Bleher, Pavel M. 16 Bothner, Thomas 16 Clarkson, Peter A. 16 Forrester, Peter J. 16 Ma, Wen-Xiu 16 Novokshenov, Viktor Yur’evich 15 Gesztesy, Fritz 15 Guo, Boling 15 Kitaev, Alexander V. 15 Korepin, Vladimir E. 15 Lisovyy, Oleg 14 Deaño, Alfredo 14 Erdős, László 14 Liu, Nan 14 Xue, Bo 13 Baik, Jinho 13 Biondini, Gino 13 Bobenko, Alexander Ivanovich 13 Böttcher, Albrecht 13 Cafasso, Mattia 13 Krasovsky, Igor V. 13 Teschl, Gerald 13 Wang, Kedong 13 Yau, Horng-Tzer 12 Aptekarev, Alexander Ivanovich 12 Chen, Mingming 12 Filipuk, Galina V. 12 Joshi, Nalini 12 Miller, Peter D. 12 Yattselev, Maxim L. 12 Zeng, Xin 11 Basor, Estelle L. 11 Dunne, Gerald V. 11 Gavrylenko, Pavlo 11 Grudsky, Sergei Mikhailovich 11 Hu, Beibei 11 Martínez-Finkelshtein, Andrei 10 Buckingham, Robert J. 10 Chen, Jinbing 10 Duits, Maurice 10 Grassi, Alba 10 He, Guoliang 10 Kaikina, Elena Igorevna 10 Ling, Liming 10 Mantzavinos, Dionyssios 10 Matveev, Vladimir B. 10 Van Assche, Walter 10 Wei, Jiao 10 Widom, Harold 10 Zhai, Yunyun 10 Zhou, Xin 10 Zhu, Mengkun 9 Deconinck, Bernard 9 Enolskiĭ, Viktor Zelikovich 9 Liechty, Karl 9 Mariño, Marcos 9 Santini, Paolo Maria 9 Slavnov, Nikita A. 9 Suleĭmanov, Bulat Irekovich 9 Tierz, Miguel 9 Tracy, Craig Arnold 9 Witte, Nicholas S. 8 Blower, Gordon 8 Bonelli, Giulio 8 Borodin, Alexei 8 Dubrovin, Boris Anatol’evich 8 Egorova, Iryna 8 Himonas, A. 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