Edit Profile (opens in new tab) Kitaev, Alexander V. Co-Author Distance Author ID: kitaev.alexander-v Published as: Kitaev, A. V.; Kitaev, Alexander V.; Kitaev, A. more...less Documents Indexed: 83 Publications since 1981, including 1 Book and 1 Additional arXiv Preprint Co-Authors: 24 Co-Authors with 46 Joint Publications 648 Co-Co-Authors all top 5 Co-Authors 35 single-authored 8 Its, Alexander Rudolfovich 7 Vartanian, Arthur H. 6 Andreev, Fedor V. 5 Fokas, Athanassios 5 Joshi, Nalini 4 Vidunas, Raimundas 3 Kapaev, Andrei A. 2 Bobenko, Alexander Ivanovich 2 Bogolyubov, Nikolaĭ Mikhaĭlovich 2 Pronko, Andrei G. 2 Treharne, P. A. 2 Zhigulev, V. N. 2 Zvonarev, Mikhail B. 1 Baladi, Viviane 1 Denisenko, Valeriĭ Vasil’evich 1 Eitner, Ulrich 1 Erkaev, Nikolai V. 1 Hone, Andrew N. W. 1 Korotkin, Dmitrii A. 1 Law, Chun-Kong 1 Matveenkov, I. T. 1 McLeod, John Bryce 1 Ruelle, David Pierre 1 Rybin, Andrei V. 1 Semmes, Stephen W. 1 Timonen, Jussi 1 Witte, Nicholas S. all top 5 Serials 14 Journal of Mathematical Sciences (New York) 9 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 4 Communications in Mathematical Physics 4 Journal of Soviet Mathematics 4 Journal of Physics A: Mathematical and General 3 Inverse Problems 3 Journal of Mathematical Physics 3 St. Petersburg Mathematical Journal 2 Letters in Mathematical Physics 2 Russian Mathematical Surveys 2 Studies in Applied Mathematics 2 Journal of Physics A: Mathematical and Theoretical 1 Modern Physics Letters A 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Theoretical and Mathematical Physics 1 Mathematics of Computation 1 Geometriae Dedicata 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Mathematische Nachrichten 1 Acta Applicandae Mathematicae 1 Physica D 1 Algebra i Analiz 1 Differential and Integral Equations 1 IMRN. International Mathematics Research Notices 1 Mathematics of the USSR, Sbornik 1 SIAM Journal on Mathematical Analysis 1 Zapiski Nauchnykh Seminarov POMI 1 Mathematical Research Letters 1 The Ramanujan Journal 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications all top 5 Fields 60 Ordinary differential equations (34-XX) 19 Special functions (33-XX) 18 Partial differential equations (35-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Quantum theory (81-XX) 4 Functions of a complex variable (30-XX) 4 Difference and functional equations (39-XX) 3 Algebraic geometry (14-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Fluid mechanics (76-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Relativity and gravitational theory (83-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Geophysics (86-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 69 Publications have been cited 991 times in 676 Documents Cited by ▼ Year ▼ The isomonodromy approach to matrix models in 2D quantum gravity. Zbl 0760.35051 Fokas, A. S.; Its, A. R.; Kitaev, A. V. 268 1992 Discrete Painlevé equations and their appearance in quantum gravity. Zbl 0742.35047 Fokas, A. S.; Its, A. R.; Kitaev, A. V. 132 1991 On Boutroux’s tritronquée solutions of the first Painlevé equation. Zbl 1152.34395 Joshi, Nalini; Kitaev, A. V. 44 2001 Asymptotics of solutions to the modified nonlinear Schrödinger equation: Solitons on a nonvanishing continuous background. Zbl 0958.35127 Kitaev, A. V.; Vartanian, A. H. 34 1999 Leading-order temporal asymptotics of the modified nonlinear Schrödinger equation: Solitonless sector. Zbl 0883.35107 Kitaev, A. V.; Vartanian, A. H. 34 1997 On solutions of the Schlesinger equations in terms of \(\Theta\)-functions. Zbl 0927.35075 Kitaev, A. V.; Korotkin, D. A. 32 1998 Connection formulae for the first Painlevé transcendent in the complex domain. Zbl 0777.34007 Kapaev, A. A.; Kitaev, A. V. 27 1993 The isomonodromy approach in the theory of two-dimensional quantum gravitation. Zbl 0743.35055 Its, A. R.; Kitaev, A. V.; Fokas, A. S. 26 1990 Transformations \(RS_4^2(3)\) of the ranks \(\leq 4\) and algebraic solutions of the sixth Painlevé equation. Zbl 1019.34086 Andreev, F. V.; Kitaev, A. V. 19 2002 Connection formulae for asymptotics of the fifth Painlevé transcendent on the real axis. Zbl 0970.34076 Andreev, F. V.; Kitaev, A. V. 18 2000 Elliptic asymptotics of the first and the second Painlevé transcendents. Zbl 0829.34040 Kitaev, A. V. 17 1994 Rational solutions of the fifth Painlevé equation. Zbl 0804.34006 Kitaev, A. V.; Law, C. K.; McLeod, J. B. 15 1994 On the linearization of the Painlevé III–VI equations and reductions of the three-wave resonant system. Zbl 1152.81499 Joshi, N.; Kitaev, A. V.; Treharne, P. A. 15 2007 Quadratic transformations for the sixth Painlevé equation. Zbl 0716.34075 Kitaev, A. V. 15 1991 Caustics in 1+1 integrable systems. Zbl 0807.35135 Kitaev, A. V. 14 1994 Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation. I. Zbl 1064.34078 Kitaev, A. V.; Vartanian, A. H. 14 2004 Surfaces with harmonic inverse mean curvature and Painlevé equations. Zbl 0888.53008 Bobenko, A.; Eitner, U.; Kitaev, A. 13 1997 On the linearization of the first and second Painlevé equations. Zbl 1162.34073 Joshi, N.; Kitaev, A. V.; Treharne, P. A. 13 2009 Quadratic transformations of the sixth Painlevé equation with application to algebraic solutions. Zbl 1137.34041 Vidunas, Raimundas; Kitaev, Alexander V. 12 2007 Self-similar solutions of the modified nonlinear Schrödinger equation. Zbl 0589.34021 Kitaev, A. V. 11 1985 Grothendieck’s dessins d’enfants, their deformations, and algebraic solutions of the sixth Painlevé and Gauss hypergeometric equations. Zbl 1136.33303 Kitaev, A. V. 11 2006 Computation of highly ramified coverings. Zbl 1226.14043 Vidunas, Raimundas; Kitaev, Alexander V. 10 2009 Remarks towards a classification of \(RS^2_4(3)\)-transformations and algebraic solutions of the sixth Painlevé equation. Zbl 1142.34060 Kitaev, Alexander V. 9 2006 Exponentially small corrections to divergent asymptotic expansions of solutions of the fifth Painlevé equation. Zbl 0889.34003 Andreev, F. V.; Kitaev, A. V. 8 1997 Justification of the asymptotic formulas obtained by the isomonodromic deformation method. Zbl 0745.34061 Kitaev, A. V. 8 1989 Turning points of linear systems and the double asymptotics of the Painlevé transcendents. Zbl 0834.34005 Kitaev, A. V. 8 1991 Generalized Knizhnik-Zamolodchikov equations and isomonodromy quantization of the equations integrable via the inverse scattering transform: Maxwell-Bloch system with pumping. Zbl 1042.81584 Babujian, H. M.; Kitaev, A. V. 8 1998 Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation. II. Zbl 1210.34130 Kitaev, A. V.; Vartanian, A. 8 2010 Special functions of isomonodromy type, rational transformations of the spectral parameter, and algebraic solutions of the sixth Painlevé equation. Zbl 1044.34052 Kitaev, A. V. 8 2003 The method of isomonodromy deformations and the asymptotics of solutions of the “complete” third Painlevé equations. Zbl 0716.34073 Kitaev, A. V. 8 1989 Symmetric solutions for the first and second Painlevé equations. Zbl 0834.34009 Kitaev, A. V. 7 1991 Emptiness formation probability of the six-vertex model and the sixth Painlevé equation. Zbl 1361.82013 Kitaev, A. V.; Pronko, A. G. 7 2016 On similarity reductions of the three-wave resonant system to the Painlevé equations. Zbl 0719.35087 Kitaev, A. V. 7 1990 Meromorphic solution of the degenerate third Painlevé equation vanishing at the origin. Zbl 1440.34095 Kitaev, Alexander V. 7 2019 On connection formulas for asymptotic expansions for some special solutions of the fifth Painlevé equation. Zbl 0905.34007 Andreev, F. V.; Kitaev, A. V. 6 1997 Some examples of \(RS^2_3(3)\)-transformations of ranks 5 and 6 as the higher order transformations for the hypergeometric function. Zbl 1042.33004 Andreev, F. V.; Kitaev, A. V. 6 2003 The turning points of linear systems and double asymptotic lines of the Painlevé transcendents. Zbl 0746.34011 Kitaev, A. V. 6 1991 Isomonodromy technique and elliptic asymptotics of the first Painlevé transcendent. Zbl 0801.34009 Kitaev, A. V. 5 1993 Method of isomonodromic deformations for “degenerate” third Painlevé equation. Zbl 0679.34063 Kitaev, A. V. 5 1989 Mathematical aspects of the nonperturbative \(2\)D quantum gravity. Zbl 1020.81848 Its, A. R.; Kitaev, A. V. 4 1990 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. 4 1991 Computation of \(RS\)-pullback transformations for algebraic Painlevé VI solutions. Zbl 1381.34113 Vidunas, R.; Kitaev, A. V. 4 2016 Connection formulae for asymptotics of the fifth Painlevé transcendent on the imaginary axis. I. Zbl 1470.34237 Andreev, Fedor V.; Kitaev, Alexander V. 4 2020 Asymptotics of integrals of some functions related to the degenerate third Painlevé equation. Zbl 1430.34100 Kitaev, A. V.; Vartanian, A. 4 2019 On symmetric solutions for the first and second Painlevé equations. Zbl 0746.34009 Kitaev, A. V. 4 1991 On asymptotic cones of surfaces with constant curvature and the third Painlevé equation. Zbl 0965.53010 Bobenko, Alexander I.; Kitaev, Alexander V. 3 1998 Special functions of the isomonodromy type. Zbl 1009.33003 Kitaev, A. V. 3 2000 Passage to the limit \(\mathbb{P}_ 2\longrightarrow\mathbb{P}_ 1\). Zbl 0834.34006 Kapaev, A. A.; Kitaev, A. V. 3 1991 An isomonodromy cluster of two regular singularities. Zbl 1116.34070 Kitaev, A. V. 3 2006 The method of isomonodromy deformations and asymptotics of solutions of the “complete” third Painlevé equation. Zbl 0662.34056 Kitaev, A. V. 3 1987 An entire function defined by a nonlinear recurrence relation. Zbl 1015.30011 Hone, A. N. W.; Joshi, N.; Kitaev, A. V. 2 2002 Isomonodromic technique and elliptic asymptotic formulas for the first Painlevé transcendent. Zbl 0822.34005 Kitaev, A. V. 2 1993 The Dirichlet boundary value problem for real solutions of the first Painlavé equation on segments in non-positive semi-axis. Zbl 1080.34012 Joshi, N.; Kitaev, A. V. 2 2005 Similarity solutions of the deformed Maxwell-Bloch system. Zbl 0795.35114 Kitaev, A. V.; Rybin, A. V.; Timonen, J. 2 1993 A note on the averaging for single-phase elliptic solutions of the Toda and the Volterra lattices. Zbl 0812.34011 Kitaev, A. V. 2 1994 Sharp determinants and kneading operators for holomorphic maps. Zbl 0919.58008 Baladi, V.; Kitaev, A.; Ruelle, D.; Semmes, S. 2 1997 Non-Schlesinger deformations of ordinary differential equations with rational coefficients. Zbl 0984.34078 Kitaev, A. V. 2 2001 Topological phases and quantum computation. Zbl 1207.81014 Kitaev, A. 2 2010 Limit transition \({\mathbb{P}{}}_ 2\longrightarrow{}{\mathbb{P}{}}_ 1\). Zbl 0746.34007 Kapaev, A. A.; Kitaev, A. V. 2 1991 Matrix models of two-dimensional quantum gravitation and isomonodromic solutions of discrete Painlevé equations. Zbl 0748.58039 Its, A. R.; Kitaev, A. V.; Fokas, A. S. 2 1991 The justification of the asymptotic formulae obtained by the isomonodromic deformation method. Zbl 0708.34059 Kitaev, A. V. 2 1989 Isomonodromic deformations and self-similar solutions for the Einstein- Maxwell equations. Zbl 0784.35116 Kitaev, A. V. 1 1990 Quadratic transformations for the third and fifth Painlevé equations. Zbl 1083.34065 Kitaev, A. V. 1 2004 Asymptotic description of solutions of the fourth Painlevé equations on the Stokes rays analogs. Zbl 0737.34003 Kitaev, A. V. 1 1988 Mathematical modelling of magnetospheric processes. (Matematicheskoe modelirovanie magnitosfernykh protsessov.) Zbl 0784.35113 Denisenko, V. V.; Erkaev, N. V.; Kitaev, A. V.; Matveenkov, I. T. 1 1992 Isomonodromic deformations and self-similar solutions of the Einstein- Maxwell equations. Zbl 0727.35133 Kitaev, A. V. 1 1990 Calculation of the nonperturbative parameter in the matrix model \(\Phi{}^ 4\). Zbl 0746.34010 Kitaev, A. V. 1 1991 The method of isomonodromic deformations for the “degenerate” third Painlevé equation. Zbl 0664.34063 Kitaev, A. V. 1 1987 Algebroid solutions of the degenerate third Painlevé equation for vanishing formal monodromy parameter. Zbl 1545.34115 Kitaev, A. V.; Vartanian, A. 1 2024 Algebroid solutions of the degenerate third Painlevé equation for vanishing formal monodromy parameter. Zbl 1545.34115 Kitaev, A. V.; Vartanian, A. 1 2024 Connection formulae for asymptotics of the fifth Painlevé transcendent on the imaginary axis. I. Zbl 1470.34237 Andreev, Fedor V.; Kitaev, Alexander V. 4 2020 Meromorphic solution of the degenerate third Painlevé equation vanishing at the origin. Zbl 1440.34095 Kitaev, Alexander V. 7 2019 Asymptotics of integrals of some functions related to the degenerate third Painlevé equation. Zbl 1430.34100 Kitaev, A. V.; Vartanian, A. 4 2019 Emptiness formation probability of the six-vertex model and the sixth Painlevé equation. Zbl 1361.82013 Kitaev, A. V.; Pronko, A. G. 7 2016 Computation of \(RS\)-pullback transformations for algebraic Painlevé VI solutions. Zbl 1381.34113 Vidunas, R.; Kitaev, A. V. 4 2016 Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation. II. Zbl 1210.34130 Kitaev, A. V.; Vartanian, A. 8 2010 Topological phases and quantum computation. Zbl 1207.81014 Kitaev, A. 2 2010 On the linearization of the first and second Painlevé equations. Zbl 1162.34073 Joshi, N.; Kitaev, A. V.; Treharne, P. A. 13 2009 Computation of highly ramified coverings. Zbl 1226.14043 Vidunas, Raimundas; Kitaev, Alexander V. 10 2009 On the linearization of the Painlevé III–VI equations and reductions of the three-wave resonant system. Zbl 1152.81499 Joshi, N.; Kitaev, A. V.; Treharne, P. A. 15 2007 Quadratic transformations of the sixth Painlevé equation with application to algebraic solutions. Zbl 1137.34041 Vidunas, Raimundas; Kitaev, Alexander V. 12 2007 Grothendieck’s dessins d’enfants, their deformations, and algebraic solutions of the sixth Painlevé and Gauss hypergeometric equations. Zbl 1136.33303 Kitaev, A. V. 11 2006 Remarks towards a classification of \(RS^2_4(3)\)-transformations and algebraic solutions of the sixth Painlevé equation. Zbl 1142.34060 Kitaev, Alexander V. 9 2006 An isomonodromy cluster of two regular singularities. Zbl 1116.34070 Kitaev, A. V. 3 2006 The Dirichlet boundary value problem for real solutions of the first Painlavé equation on segments in non-positive semi-axis. Zbl 1080.34012 Joshi, N.; Kitaev, A. V. 2 2005 Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation. I. Zbl 1064.34078 Kitaev, A. V.; Vartanian, A. H. 14 2004 Quadratic transformations for the third and fifth Painlevé equations. Zbl 1083.34065 Kitaev, A. V. 1 2004 Special functions of isomonodromy type, rational transformations of the spectral parameter, and algebraic solutions of the sixth Painlevé equation. Zbl 1044.34052 Kitaev, A. V. 8 2003 Some examples of \(RS^2_3(3)\)-transformations of ranks 5 and 6 as the higher order transformations for the hypergeometric function. Zbl 1042.33004 Andreev, F. V.; Kitaev, A. V. 6 2003 Transformations \(RS_4^2(3)\) of the ranks \(\leq 4\) and algebraic solutions of the sixth Painlevé equation. Zbl 1019.34086 Andreev, F. V.; Kitaev, A. V. 19 2002 An entire function defined by a nonlinear recurrence relation. Zbl 1015.30011 Hone, A. N. W.; Joshi, N.; Kitaev, A. V. 2 2002 On Boutroux’s tritronquée solutions of the first Painlevé equation. Zbl 1152.34395 Joshi, Nalini; Kitaev, A. V. 44 2001 Non-Schlesinger deformations of ordinary differential equations with rational coefficients. Zbl 0984.34078 Kitaev, A. V. 2 2001 Connection formulae for asymptotics of the fifth Painlevé transcendent on the real axis. Zbl 0970.34076 Andreev, F. V.; Kitaev, A. V. 18 2000 Special functions of the isomonodromy type. Zbl 1009.33003 Kitaev, A. V. 3 2000 Asymptotics of solutions to the modified nonlinear Schrödinger equation: Solitons on a nonvanishing continuous background. Zbl 0958.35127 Kitaev, A. V.; Vartanian, A. H. 34 1999 On solutions of the Schlesinger equations in terms of \(\Theta\)-functions. Zbl 0927.35075 Kitaev, A. V.; Korotkin, D. A. 32 1998 Generalized Knizhnik-Zamolodchikov equations and isomonodromy quantization of the equations integrable via the inverse scattering transform: Maxwell-Bloch system with pumping. Zbl 1042.81584 Babujian, H. M.; Kitaev, A. V. 8 1998 On asymptotic cones of surfaces with constant curvature and the third Painlevé equation. Zbl 0965.53010 Bobenko, Alexander I.; Kitaev, Alexander V. 3 1998 Leading-order temporal asymptotics of the modified nonlinear Schrödinger equation: Solitonless sector. Zbl 0883.35107 Kitaev, A. V.; Vartanian, A. H. 34 1997 Surfaces with harmonic inverse mean curvature and Painlevé equations. Zbl 0888.53008 Bobenko, A.; Eitner, U.; Kitaev, A. 13 1997 Exponentially small corrections to divergent asymptotic expansions of solutions of the fifth Painlevé equation. Zbl 0889.34003 Andreev, F. V.; Kitaev, A. V. 8 1997 On connection formulas for asymptotic expansions for some special solutions of the fifth Painlevé equation. Zbl 0905.34007 Andreev, F. V.; Kitaev, A. V. 6 1997 Sharp determinants and kneading operators for holomorphic maps. Zbl 0919.58008 Baladi, V.; Kitaev, A.; Ruelle, D.; Semmes, S. 2 1997 Elliptic asymptotics of the first and the second Painlevé transcendents. Zbl 0829.34040 Kitaev, A. V. 17 1994 Rational solutions of the fifth Painlevé equation. Zbl 0804.34006 Kitaev, A. V.; Law, C. K.; McLeod, J. B. 15 1994 Caustics in 1+1 integrable systems. Zbl 0807.35135 Kitaev, A. V. 14 1994 A note on the averaging for single-phase elliptic solutions of the Toda and the Volterra lattices. Zbl 0812.34011 Kitaev, A. V. 2 1994 Connection formulae for the first Painlevé transcendent in the complex domain. Zbl 0777.34007 Kapaev, A. A.; Kitaev, A. V. 27 1993 Isomonodromy technique and elliptic asymptotics of the first Painlevé transcendent. Zbl 0801.34009 Kitaev, A. V. 5 1993 Isomonodromic technique and elliptic asymptotic formulas for the first Painlevé transcendent. Zbl 0822.34005 Kitaev, A. V. 2 1993 Similarity solutions of the deformed Maxwell-Bloch system. Zbl 0795.35114 Kitaev, A. V.; Rybin, A. V.; Timonen, J. 2 1993 The isomonodromy approach to matrix models in 2D quantum gravity. Zbl 0760.35051 Fokas, A. S.; Its, A. R.; Kitaev, A. V. 268 1992 Mathematical modelling of magnetospheric processes. (Matematicheskoe modelirovanie magnitosfernykh protsessov.) Zbl 0784.35113 Denisenko, V. V.; Erkaev, N. V.; Kitaev, A. V.; Matveenkov, I. T. 1 1992 Discrete Painlevé equations and their appearance in quantum gravity. Zbl 0742.35047 Fokas, A. S.; Its, A. R.; Kitaev, A. V. 132 1991 Quadratic transformations for the sixth Painlevé equation. Zbl 0716.34075 Kitaev, A. V. 15 1991 Turning points of linear systems and the double asymptotics of the Painlevé transcendents. Zbl 0834.34005 Kitaev, A. V. 8 1991 Symmetric solutions for the first and second Painlevé equations. Zbl 0834.34009 Kitaev, A. V. 7 1991 The turning points of linear systems and double asymptotic lines of the Painlevé transcendents. Zbl 0746.34011 Kitaev, A. V. 6 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. 4 1991 On symmetric solutions for the first and second Painlevé equations. Zbl 0746.34009 Kitaev, A. V. 4 1991 Passage to the limit \(\mathbb{P}_ 2\longrightarrow\mathbb{P}_ 1\). Zbl 0834.34006 Kapaev, A. A.; Kitaev, A. V. 3 1991 Limit transition \({\mathbb{P}{}}_ 2\longrightarrow{}{\mathbb{P}{}}_ 1\). Zbl 0746.34007 Kapaev, A. A.; Kitaev, A. V. 2 1991 Matrix models of two-dimensional quantum gravitation and isomonodromic solutions of discrete Painlevé equations. Zbl 0748.58039 Its, A. R.; Kitaev, A. V.; Fokas, A. S. 2 1991 Calculation of the nonperturbative parameter in the matrix model \(\Phi{}^ 4\). Zbl 0746.34010 Kitaev, A. V. 1 1991 The isomonodromy approach in the theory of two-dimensional quantum gravitation. Zbl 0743.35055 Its, A. R.; Kitaev, A. V.; Fokas, A. S. 26 1990 On similarity reductions of the three-wave resonant system to the Painlevé equations. Zbl 0719.35087 Kitaev, A. V. 7 1990 Mathematical aspects of the nonperturbative \(2\)D quantum gravity. Zbl 1020.81848 Its, A. R.; Kitaev, A. V. 4 1990 Isomonodromic deformations and self-similar solutions for the Einstein- Maxwell equations. Zbl 0784.35116 Kitaev, A. V. 1 1990 Isomonodromic deformations and self-similar solutions of the Einstein- Maxwell equations. Zbl 0727.35133 Kitaev, A. V. 1 1990 Justification of the asymptotic formulas obtained by the isomonodromic deformation method. Zbl 0745.34061 Kitaev, A. V. 8 1989 The method of isomonodromy deformations and the asymptotics of solutions of the “complete” third Painlevé equations. Zbl 0716.34073 Kitaev, A. V. 8 1989 Method of isomonodromic deformations for “degenerate” third Painlevé equation. Zbl 0679.34063 Kitaev, A. V. 5 1989 The justification of the asymptotic formulae obtained by the isomonodromic deformation method. Zbl 0708.34059 Kitaev, A. V. 2 1989 Asymptotic description of solutions of the fourth Painlevé equations on the Stokes rays analogs. Zbl 0737.34003 Kitaev, A. V. 1 1988 The method of isomonodromy deformations and asymptotics of solutions of the “complete” third Painlevé equation. Zbl 0662.34056 Kitaev, A. V. 3 1987 The method of isomonodromic deformations for the “degenerate” third Painlevé equation. Zbl 0664.34063 Kitaev, A. V. 1 1987 Self-similar solutions of the modified nonlinear Schrödinger equation. Zbl 0589.34021 Kitaev, A. V. 11 1985 all cited Publications top 5 cited Publications all top 5 Cited by 589 Authors 29 Kuijlaars, Arno B. J. 23 Kitaev, Alexander V. 20 Its, Alexander Rudolfovich 20 Xu, Shuaixia 20 Zhao, Yuqiu 18 Clarkson, Peter A. 18 Joshi, Nalini 17 Bertola, Marco 17 Claeys, Tom 15 Geng, Xianguo 14 Chen, Yang 14 Dai, Dan 14 Wong, Roderick Sue-Chuen 13 Deaño, Alfredo 13 Deift, Percy A. 13 Yattselev, Maxim L. 12 Chen, Mingming 12 Fan, Engui 12 Grava, Tamara 12 Wang, Kedong 11 Suleĭmanov, Bulat Irekovich 10 Lisovyy, Oleg 10 McLaughlin, Kenneth D. T.-R. 10 Shimomura, Shun 9 Aptekarev, Alexander Ivanovich 9 Bleher, Pavel M. 9 Krasovsky, Igor V. 9 Miller, Peter D. 8 Charlier, Christophe 8 Martínez-Finkelshtein, Andrei 8 Van Assche, Walter 7 Buckingham, Robert J. 7 Duits, Maurice 7 Vartanian, Arthur H. 7 Vidunas, Raimundas 7 Zhang, Lun 6 Adler, Vsevolod Eduardovich 6 Baik, Jinho 6 Conte, Robert Maurice 6 Delvaux, Steven 6 Korotkin, Dmitrii A. 6 Long, Wen-Gao 6 Mañas, Manuel 6 Novokshenov, Viktor Yur’evich 6 Tian, Shoufu 6 Xu, Jian 5 Bothner, Thomas 5 Costin, Ovidiu 5 Eynard, Bertrand 5 Fahs, Benjamin 5 Fornberg, Bengt 5 Foulquié Moreno, Ana Pilar 5 Klein, Christian 5 Lee, Seung-Yeop 5 Liechty, Karl 5 Liu, Jiaqi 5 Perry, Peter A. 5 Pronko, Andrei G. 5 Shramchenko, Vasilisa 5 Sulem, Catherine 5 Vanlessen, Maarten 5 Wang, Dong 5 Webb, Christian 5 Zeng, Zhaoyun 4 Bobrova, Irina 4 Costin, Rodica D. 4 Diarra, Karamoko 4 Dragović, Vladimir 4 Dubrovin, Boris Anatol’evich 4 Erdős, László 4 Iorgov, Nikolai 4 Jordaan, Kerstin 4 Kapaev, Andrei A. 4 Kokotov, Aleksey 4 Li, Yutian 4 Mazzocco, Marta 4 Mo, Man Yue 4 Molag, Leslie D. 4 Musette, Micheline 4 Qiu, Weiyuan 4 Roffelsen, Pieter 4 Silva, Guilherme L. F. 4 Teodorescu, Razvan M. 4 Trogdon, Thomas 4 Weideman, J. André C. 4 Zabrodin, Anton V. 4 Zhou, Jianrong 4 Zhou, Xin 4 Zhu, Mengkun 3 Barhoumi, Ahmad 3 Bassom, Andrew P. 3 Boalch, Philip P. 3 Branquinho, Amílcar José Pinto Lopes 3 Daems, Evi 3 Denisov, Sergey A. 3 Ercolani, Nicholas M. 3 Filipuk, Galina V. 3 Fokas, Athanassios 3 Gharakhloo, Roozbeh 3 Gisonni, Massimo ...and 489 more Authors all top 5 Cited in 155 Serials 43 Communications in Mathematical Physics 33 Journal of Mathematical Physics 33 Journal of Approximation Theory 32 Studies in Applied Mathematics 29 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 26 Constructive Approximation 23 Physica D 22 Journal of Physics A: Mathematical and Theoretical 16 Communications on Pure and Applied Mathematics 16 Journal of Mathematical Sciences (New York) 14 Nonlinearity 14 Advances in Mathematics 13 Journal of Mathematical Analysis and Applications 13 Letters in Mathematical Physics 13 Random Matrices: Theory and Applications 12 Journal of Nonlinear Mathematical Physics 11 Nuclear Physics. 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Neuvième Série 2 Linear Algebra and its Applications 2 SIAM Journal on Mathematical Analysis 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Indagationes Mathematicae. New Series 2 Discrete and Continuous Dynamical Systems 2 Annals of Mathematics. Second Series 2 Regular and Chaotic Dynamics 2 Journal of the European Mathematical Society (JEMS) 2 Foundations of Computational Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of Statistical Mechanics: Theory and Experiment 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 International Journal of Modern Physics B 1 Archive for Rational Mechanics and Analysis 1 Classical and Quantum Gravity 1 Journal d’Analyse Mathématique 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Physics Letters. B 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Prikladnaya Matematika i Mekhanika 1 Beiträge zur Algebra und Geometrie 1 Fortschritte der Physik 1 Acta Mathematica 1 American Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Compositio Mathematica 1 Funkcialaj Ekvacioj. Serio Internacia 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series A 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Soviet Mathematics ...and 55 more Serials all top 5 Cited in 46 Fields 288 Ordinary differential equations (34-XX) 210 Special functions (33-XX) 154 Partial differential equations (35-XX) 128 Dynamical systems and ergodic theory (37-XX) 94 Probability theory and stochastic processes (60-XX) 90 Harmonic analysis on Euclidean spaces (42-XX) 88 Linear and multilinear algebra; matrix theory (15-XX) 81 Functions of a complex variable (30-XX) 78 Approximations and expansions (41-XX) 60 Quantum theory (81-XX) 58 Statistical mechanics, structure of matter (82-XX) 54 Difference and functional equations (39-XX) 35 Numerical analysis (65-XX) 32 Algebraic geometry (14-XX) 24 Operator theory (47-XX) 22 Combinatorics (05-XX) 15 Differential geometry (53-XX) 14 Several complex variables and analytic spaces (32-XX) 10 Integral equations (45-XX) 10 Relativity and gravitational theory (83-XX) 8 Number theory (11-XX) 8 Potential theory (31-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 Mechanics of particles and systems (70-XX) 6 Fluid mechanics (76-XX) 6 Optics, electromagnetic theory (78-XX) 5 Field theory and polynomials (12-XX) 5 Associative rings and algebras (16-XX) 5 Nonassociative rings and algebras (17-XX) 5 Convex and discrete geometry (52-XX) 5 Manifolds and cell complexes (57-XX) 3 Group theory and generalizations (20-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Real functions (26-XX) 2 Sequences, series, summability (40-XX) 2 Functional analysis (46-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Topological groups, Lie groups (22-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year