Alexander Its

Q: What Schools Are Affiliated With Alexander Its

Alexander Its is affiliated with the following schools: Indiana University Bloomington, Indiana University, Indiana University–Purdue University Indianapolis, Saint Petersburg State University

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Alexander Its

Mathematics

#3112

World Rank

#4657

Historical Rank

#1177

USA Rank

Measure Theory

#2415

World Rank

#2888

Historical Rank

#687

USA Rank

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Mathematics

Why Is Alexander Its Influential?

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According to Wikipedia, Alexander R. Its is a Distinguished Professor of Mathematical Sciences at Indiana University-Purdue University Indianapolis. He completed his doctorate from Saint Petersburg State University, then known as Leningrad University, in 1977. Afterwards, he continued his career as a lecturer at the Steklov Institute in Saint Petersburg before becoming a professor at his alma mater. He remained there until 1993, when he assumed his current role at Indiana University. His research focuses on integrable systems, examining asymptotic analysis of matrix models using Riemann–Hilbert and isomonodromy methods, asymptotic analysis of correlation functions related to aspects of theoretical Fredholm and Toeplitz operators, and the theory of integrable nonlinear partial and ordinary differential equations of KdV and Painlevé types.

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Alexander Its's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Two-dimensional solitons of the Kadomtsev-Petviashvili equation and their interaction (1977) (476)
The isomonodromy approach to matric models in 2D quantum gravity (1992) (441)
Painleve Transcendents: The Riemann-hilbert Approach (2006) (396)
The Isomonodromy Approach to Matrix Models in 2 D Quantum Gravity (2004) (363)
Differential Equations for Quantum Correlation Functions (1990) (358)
Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model (1999) (320)
Isomonodromic Deformation Method in the Theory of Painleve Equations (1986) (318)
Discrete Painlevé equations and their appearance in quantum gravity (1991) (296)
A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics (1997) (281)
Entanglement in the XY spin chain (2004) (210)
Schrödinger operators with finite-gap spectrum and N-soliton solutions of the Korteweg-de Vries equation (1975) (198)
Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities (2009) (193)
Long-Time Asymptotics for Integrable Nonlinear Wave Equations (1993) (181)
The nonlinear Schrödinger equation on the half-line (2004) (163)
Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results (2012) (159)
Double scaling limit in the random matrix model: The Riemann‐Hilbert approach (2002) (158)
The linearization of the initial-boundary value problem of the nonlinear Schro¨dinger equation (1996) (133)
Hill's operator with finitely many gaps (1975) (128)
Painlevé III and a singular linear statistics in Hermitian random matrix ensembles, I (2008) (126)
Renyi entropy of the XY spin chain (2007) (121)
Random Matrix Models and Their Applications (2001) (119)
Asymptotics of the Airy-Kernel Determinant (2006) (99)
Asymptotics of the instantons of Painleve I (2010) (98)
The nonlinear Schrödinger equation on the interval (2004) (90)
Long-Time Asymptotics for the Focusing NLS Equation with Time-Periodic Boundary Condition on the Half-Line (2009) (89)
Random Words, Toeplitz Determinants and Integrable Systems. II (1999) (82)
Exact integration of nonlinear Schrödinger equation (1988) (76)
Integrable Fredholm Operators and Dual Isomonodromic Deformations (1997) (74)
Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump (2007) (74)
The Widom-Dyson constant for the gap probability in random matrix theory (2006) (73)
Higher‐order analogues of the Tracy‐Widom distribution and the Painlevé II hierarchy (2009) (71)
Asymptotics of the partition function of a random matrix model (2004) (68)
Connection Problem for the Sine-Gordon/Painlevé III Tau Function and Irregular Conformal Blocks (2014) (66)
Critical Edge Behavior in Unitary Random Matrix Ensembles and the Thirty-Fourth Painlevé Transcendent (2007) (64)
Monodromy dependence and connection formulae for isomonodromic tau functions (2016) (58)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: The isomonodromy approach in the theory of two-dimensional quantum gravitation (1990) (56)
On the asymptotics of a Toeplitz determinant with singularities (2012) (50)
Large time and distance asymptotics of field correlation function of impenetrable bosons at finite temperature (1992) (49)
The Riemann-Hilbert Problem and Integrable Systems (2003) (49)
An initial-boundary value problem for the sine-Gordon equation in laboratory coordinates (1992) (48)
Emergence of a singularity for Toeplitz determinants and Painlevé V (2010) (48)
Ellipses of constant entropy in the XY spin chain (2006) (47)
On the asymptotic analysis of the Painlevé equations via the isomonodromy method (1994) (46)
Entanglement Entropy in Quantum Spin Chains with Finite Range Interaction (2007) (45)
Quasi-linear Stokes phenomenon for the second Painlevé transcendent (2001) (43)
On the Riemann–Hilbert–Birkhoff inverse monodromy problem and the Painlevé equations (2005) (42)
The Painlevé III equation and the Iwasawa decomposition (1995) (42)
Hankel Determinant and Orthogonal Polynomials for a Gaussian Weight with a Discontinuity at the Edge (2015) (40)
An initial-boundary value problem for the Korteweg-de Vries equation (1994) (40)
Painlevé-Type Asymptotics for the Camassa-Holm Equation (2010) (38)
On the Asymptotic Behavior of a Log Gas in the Bulk Scaling Limit in the Presence of a Varying External Potential I (2014) (38)
Asymptotics for a special solution of the thirty fourth Painlevé equation (2008) (35)
Isomonodromy Aspects of the tt* Equations of Cecotti and Vafa I. Stokes Data (2012) (35)
Entropy of XY Spin Chain and Block Toeplitz Determinants (2006) (34)
Isomonodromy Aspects of the tt* Equations of Cecotti and Vafa II: Riemann–Hilbert Problem (2013) (32)
Spectrum of the density matrix of a large block of spins of the XY model in one dimension (2011) (32)
Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition (2007) (31)
Connection Problem for the Tau-Function of the Sine-Gordon Reduction of Painlevé-III Equation via the Riemann-Hilbert Approach (2015) (30)
Effective integration of the nonlinear vector Schrödinger equation (2005) (30)
Dynamics of the Calogero—Moser system and the reduction of hyperelliptic integrals to elliptic integrals (1986) (29)
Eigenvalues of Toeplitz matrices in the bulk of the spectrum (2011) (28)
On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo–Miwa–Ueno differential (2017) (28)
Space correlations in the one-dimensional impenetrable Bose gas at finite temperature (1991) (28)
The Fisher-Hartwig Formula and Entanglement Entropy (2009) (27)
Large N Asymptotics in Random Matrices (2011) (27)
Effective sufficient conditions for the solvability of the inverse problem of monodromy theory for systems of linear ordinary differential equations (1988) (26)
Initial boundary value problem for the focusing nonlinear Schrödinger equation with Robin boundary condition: half-line approach (2012) (26)
Total integrals of global solutions to Painlevé II (2008) (22)
Connection formulae for the fourth Painlevé transcendent; Clarkson-McLeod solution (1998) (22)
The Nonlinear Steepest Descent Approach to the Asymptotics of the Second Painlevé Transcendent in the Complex Domain (2001) (21)
Painlevé transcendent describes quantum correlation function of the XXZ antiferromagnet away from the free-fermion point (1996) (21)
The Quantum Correlation Function as the ז Function of Classical Differential Equations (1993) (20)
On the Riemann–Hilbert–Birkhoff Inverse Monodromy Problem Associated with the Third Painlevé Equation (2011) (20)
The Painlevé Transcendents as Nonlinear Special Functions (1992) (20)
Isomonodromic Deformations and Applications in Physics (2002) (19)
Normal matrix models, dbar-problem, and orthogonal polynomials on the complex plane (2007) (19)
Isomonodromy Aspects of the tt* Equations of Cecotti and Vafa III: Iwasawa Factorization and Asymptotics (2017) (18)
Integro-difference equation for a correlation function of the Heisenberg XXZ chain (1995) (18)
The nonlinear steepest descent approach to the singular asymptotics of the second Painlevé transcendent (2012) (18)
Modulation instability of solutions of the nonlinear Schrödinger equation (1990) (18)
On Some Hamiltonian Properties of the Isomonodromic Tau Functions (2018) (17)
Landau-Lifshitz equation, uniaxial anisotropy case: Theory of exact solutions (2014) (17)
Correlations in the impenetrable electron gas (1998) (17)
Liouville's theorem and the method of the inverse problem (1985) (16)
A representation of joint moments of CUE characteristic polynomials in terms of Painlevé functions (2018) (14)
Temperature autocorrelations of the transverse Ising chain at the critical magnetic field (1990) (13)
The Isomonodromy Method and the Painlevé Equations (1993) (12)
Entanglement Spectrum for the XY Model in One Dimension (2010) (12)
Riemann–Hilbert Approach to the Elastodynamic Equation: Part I (2011) (12)
Asymptotics of a Fredholm Determinant Corresponding to the First Bulk Critical Universality Class in Random Matrix Models (2014) (12)
On the Riemann-Hilbert approach to asymptotic analysis of the correlation functions of the quantum nonlinear schrödinger equation: Interacting fermion case (1998) (12)
A Riemann–Hilbert approach to the inverse problem for the Stark operator on the line (2016) (11)
On the Tracy-Widomβ Distribution for β=6 (2016) (11)
Large-x analysis of an operator valued Riemann-Hilbert problem (2014) (11)
Asymptotics of a cubic sine kernel determinant (2013) (11)
A Riemann-Hilbert Approach to the (2004) (10)
A Riemann–Hilbert approach to the Akhiezer polynomials (2004) (10)
Periodic problem for the nonlinear Schroedinger equation (2014) (9)
Continuous and Discrete Painlevé Equations (1992) (9)
Differential equation for a correlation function of the spin-12 Heisenberg chain (1994) (9)
Integrable equations on the half-infinite line (1995) (8)
Algebrogeometric integration of the MNS equation, finite-gap solutions and their degeneration (1983) (8)
On asymptotic analysis of orthogonal polynomials via the Riemann-Hilbert method (1999) (8)
Probability of phase separation for the Bose gas with delta interactions (1995) (7)
The sine process under the influence of a varying potential (2018) (7)
Mathematical Aspects of the Non-Perturbative 2d Quantum Gravity (1990) (7)
Generalized entropy of the Heisenberg spin chain (2010) (7)
On Determinants of Integrable Operators with Shifts (2013) (7)
Analysis of entropy of XY Spin Chain (2006) (7)
A request: The Painlevé Project (2010) (7)
An operator-valued Riemann-Hilbert problem associated with the XXX model (1996) (6)
A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants (2019) (5)
Entanglement entropy of two disjoint intervals separated by one spin in a chain of free fermion (2019) (5)
Asymptotics of a Fredholm determinant involving the second Painlevé transcendent (2012) (5)
Riemann–Hilbert approach to a generalized sine kernel (2019) (5)
Integrable differential equations for temperature correlation functions of the XXO Heisenberg chain (1996) (5)
Formulation of scattering theory for the nonlinear Schrödinger equation with boundary conditions of the finite density type in a soliton-free sector (1991) (5)
Painl\'eve III and a singular linear statistics in Hermitian random matrix ensembles I (2008) (4)
The Fisher-Hartwig Formula and Generalized Entropies in XY Spin Chain (2009) (4)
The asymptotic behavior of the discrete holomorphic map $Z^{a}$ via the Riemann–Hilbert method (2014) (4)
Asymptotics at t→∞ of the solution of the Cauchy problem for the Landau-Lifshitz equation (1988) (4)
Symmetries and Integrability of Difference Equations: Discrete Painlevé Equations and Orthogonal Polynomials (2011) (4)
Determinant representation for a quantum correlation function of the lattice sine - Gordon model (1995) (4)
Isomonodromy Aspects of the tt* Equations of Cecotti and Vafa III: Iwasawa Factorization and Asymptotics (2019) (4)
Toeplitz and Hankel determinants with singularities: announcement of results (2008) (4)
The Riemann–Hilbert approach to the Helmholtz equation in a quarter-plane: Neumann, Robin and Dirichlet boundary conditions (2017) (3)
Large time asymptotics for the cylindrical Korteweg–de Vries equation. I. (2020) (3)
Algebrogeometric solutions of the nonlinear boundary problem on a segment for the sine-Gordon equation (1992) (3)
On the Asymptotic Behavior of a Log Gas in the Bulk Scaling Limit in the Presence of a Varying External Potential I (2015) (3)
Painlevé Project on the web (2010) (3)
Asymptotics of Bordered Toeplitz Determinants and Next-to-Diagonal Ising Correlations (2020) (2)
Integrable Equations with a Forcing of a Distribution Type (1994) (2)
Landau-Lifshitz equation, uniaxial anisotropy case: Theory of exact solutions (2014) (2)
Isomonodromic deformations of systems (1.9) and (1.26) and painlevé equations of II and III types (1986) (2)
Riemann–Hilbert approach to the elastodynamic equation: half plane (2013) (1)
Numerical Methods for the Discrete Map $Z^a$ (2015) (1)
The manifold of solutions to painlevé II equation increasing as χ → + ∞. The expression of their asymptotics through the monodromy data. The connection formulae for pure imaginary solutions (1986) (1)
Entanglement entropy of two disjoint intervals separated by one spin in an XX quantum spin chain (2019) (1)
Inverse monodromy problem and Riemann-Hilbert factorization (2006) (1)
Harold Widom’s work in random matrix theory (2022) (1)
Introduction to Special Issue: Integrable Quantum Systems and Solvable Statistical Mechanics Models (2009) (1)
The tt*-Toda equations of A_n type (2023) (1)
Ramil' Faritovich Bikbaev (obituary) (1996) (0)
Eigenvalues of Toeplitz matrices (2011) (0)
Isomonodromic deformations and applications in physics : CRM workshop, May 1-6, 2000, Montréal, Canada (2002) (0)
Asymptotic Behavior of a Log Gas in the Bulk Scaling Limit in the Presence of a Varying External Potential I. Communications in Mathematical Physics, 337, 1397-1463. https://doi.org/10.1007/s00220-015-2357-1 (2015) (0)
Monodromy data for the systems of linear ordinary differential equations with rational coefficients (1986) (0)
The dynamics of electromagnetic impulse in a long laser amplifier (1986) (0)
Sine-Gordon reduction of PIII (2006) (0)
Corrections to “On the Riemann–Hilbert–Birkhoff inverse monodromy problem and the Painlevé equations” (2007) (0)
Asymptotics of a Fredholm Determinant Corresponding to the First Bulk Critical Universality Class in Random Matrix Models (2014) (0)
Canonical four-rays. Real-valued solutions of SG-PIII (2006) (0)
PIII equation, an overview (2006) (0)
L'INSTITUT FOURIER (2005) (0)
Toeplitz determinants, Painlevé equations, and special functions. Part II: a Riemann-Hilbert point of view - Lecture 1 (2019) (0)
Isomonodromy Aspects of the tt* Equations of Cecotti and Vafa II: Riemann–Hilbert Problem (2015) (0)
Non-Perturbative Two-Dimensional Quantum Gravity and the Isomonodromy Method (1993) (0)
Painlevé V differential equation:describes quantum correlation function of the XXZ antiferromagnet outside of free-fermion point (1996) (0)
Рамиль Фаритович Бикбаев (некоролог)@@@Ramil' Faritovich Bikbaev (obituary) (1996) (0)
ON THE ASYMPTOTIC BEHAVIOR OF A LOG GAS IN THE BULK SCALING IN THE PRESENCE A VARYING EXTERNAL POTENTIAL (2015) (0)
Asymptotic Analysis of the Toeplitz and Hankel Determinants via the Riemann-Hilbert Method (2011) (0)
On $\beta=6$ Tracy-Widom distribution and the second Calogero-Painlev\'e system (2020) (0)
Systems of linear ordinary differential equations with rational coefficients. Elements of the general theory (2006) (0)
Asymptotic solution to a direct problem of the monodromy theory for the system (1.9) (1986) (0)
The scaling limit in two-dimensional ising model (1986) (0)
Vladimir Savel'evich Buslaev (obituary) (2014) (0)
Asymptotic solutions of the second Painlevé equation in the complex plane. Inverse monodromy problem approach (2006) (0)
Large-time asymptotics of the solution of the cauchy problem for MKdV equation (1986) (0)
PII Asymptotics on the canonical six-rays. real-valued case (2006) (0)
The Riemann–Hilbert approach to the Helmholtz equation in a quarter-plane: Neumann, Robin and Dirichlet boundary conditions (2017) (0)
Quasiclassical mode of the three-dimensional wave collapse (1986) (0)
Riemann-Hilbert Approach to the Helmholtz Equation in a quarter-plane. Revisited (2013) (0)
The long-time asymptotic analysis of integrable systems via the Riemann-Hilbert method (2007) (0)
Isomonodromic deformations of systems of linear ordinary differential equations with rational coefficients (1986) (0)
Preface: Introduction to special issue: In memory of Ludwig Faddeev (2018) (0)
The isomonodromy method (2006) (0)
Coordinate asymptotics for the Schrödinger equation with a rapidly oscillating potential (1979) (0)
The movable poles of real-valued solutions to painlevé II equation and the eigenfunctions of anharmonic oscillator (1986) (0)
Riemann–Hilbert approach to a generalized sine kernel (2019) (0)
In Memory of Sergei Yuryevich Slavyanov (2019) (0)
Isomonodromy deformations. The Painlevé equations (2006) (0)
Monodromy theory and special functions (2006) (0)
The movable poles of the solutions of painlevé III equation and their connection with mathifu functions (1986) (0)
Canonical four-rays. Singular solutions of the SG-PIII (2006) (0)
PII Asymptotics on the canonical six-rays. The purely imaginary case (2006) (0)
Special issue on Painleve equations, part 1 (2014) (0)
The manifold of solutions of painlevé II equation decreasing as ϰ → −∞. Parametrization of their asymptotics through the monodromy data. Ablowitz-segur connection formulae for real-valued solutions decreasing exponentially as ϰ → + ∞ (1986) (0)
Inverse problem of the monodromy theory for the systems (1.9) and (1.26). Asymptotic analysis of integral equations of the inverse problem (1986) (0)
1 Asymptotic resolution of the Riemann – Hilbert problem 1 . 1 The kernel and initial Riemann – Hilbert problem (2019) (0)
Asymptotics in the complex plane of the SG-PIII transcendent (2006) (0)
PII Quasi-linear stokes phenomenon (2006) (0)
The manifold of solutions to painlevé III equation. The connection formulae for the asymptotics of real-valued solutions to the cauchy problem (1986) (0)
Hankel Determinant and Orthogonal Polynomials for a Gaussian Weight with a Discontinuity at the Edge (2016) (0)

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What Schools Are Affiliated With Alexander Its?

Alexander Its is affiliated with the following schools: