A. H. Vartanian

Generating author description...

All published works

Action	Title	Year	Authors
+	One-Parameter Meromorphic Solution of the Degenerate Third Painlevé Equation with Formal Monodromy Parameter a = ±i/2 Vanishing at the Origin	2024	A. V. Kitaev A. H. Vartanian
+ PDF Chat	Algebroid solutions of the degenerate third Painlevé equation for vanishing formal monodromy parameter	2023	A. V. Kitaev A. H. Vartanian
+	Trans-Series Asymptotics of Solutions to the Degenerate Painlevé III Equation: A Case Study	2020	A. H. Vartanian
+ PDF Chat	Asymptotics of Integrals of Some Functions Related to the Degenerate Third Painlevé Equation	2019	A. V. Kitaev A. H. Vartanian
+	Riemann-Hilbert Characterisation of Rational Functions with a General Distribution of Poles on the Extended Real Line Orthogonal with Respect to Varying Exponential Weights: Multi-Point Padé Approximants and Asymptotics	2019	A. H. Vartanian Xiaowen Zhou
+	Asymptotics of Integrals of Some Functions Related to the Degenerate Third Painlevé Equation	2018	A. V. Kitaev A. H. Vartanian
+ PDF Chat	Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation: II	2010	A. V. Kitaev A. H. Vartanian
+	Rational Functions with a General Distribution of Poles on the Real Line Orthogonal with Respect to Varying Exponential Weights: I	2008	K. T-R McLaughlin A. H. Vartanian Xin Zhou
+ PDF Chat	Asymptotics of Recurrence Relation Coefficients, Hankel Determinant Ratios, and Root Products Associated with Laurent Polynomials Orthogonal with Respect to Varying Exponential Weights	2007	K. T-R McLaughlin A. H. Vartanian Xin Zhou
+ PDF Chat	Asymptotics of Laurent Polynomials of Odd Degree Orthogonal with Respect to Varying Exponential Weights	2007	K. T-R McLaughlin A. H. Vartanian Xiaowen Zhou
+ PDF Chat	Asymptotics of Laurent polynomials of even degree orthogonal with respect to varying exponential weights	2006	K. T-R McLaughlin A. H. Vartanian Xiaowen Zhou
+	Asymptotics of Laurent Polynomials of Even Degree Orthogonal with Respect to Varying Exponential Weights	2006	K. T-R McLaughlin A. H. Vartanian Xiaowen Zhou
+	Asymptotics of Recurrence Relation Coefficients, Hankel Determinant Ratios, and Root Products Associated with Laurent Polynomials Orthogonal with Respect to Varying Exponential Weights	2006	K. T-R McLaughlin A. H. Vartanian Xin Zhou
+	Asymptotics of Laurent Polynomials of Odd Degree Orthogonal with Respect to Varying Exponential Weights	2006	K. T-R McLaughlin A. H. Vartanian Xiaowen Zhou
+ PDF Chat	Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation: I	2004	A. V. Kitaev A. H. Vartanian
+	Exponentially small asymptotics of solutions to the defocusing nonlinear Schrödinger equation	2003	A. H. Vartanian
+ PDF Chat	Long-time asymptotics of solutions to the Cauchy problem for the defocusing non-linear Schrödinger equation with finite-density initial data. I. Solitonless sector	2003	A. H. Vartanian
+	On long-distance intensity asymptotics of solutions to the Cauchy problem for the modified nonlinear Schrödinger equation for vanishing initial data	2003	Mikhail Y. Kovalyov A. H. Vartanian
+	None	2002	A. H. Vartanian
+	Long-Time Asymptotics of Solutions to the Cauchy Problem for the Defocusing Non-Linear Schrödinger Equation with Finite-Density Initial Data. II. Dark Solitons on Continua	2002	A. H. Vartanian
+	Exponentially small asymptotics of solutions to the defocusing nonlinear Schrödinger equation: II	2001	A. H. Vartanian
+	Long-Time Asymptotics of Solutions to the Cauchy Problem for the Defocusing Non-Linear Schrödinger Equation with Finite Density Initial Data. I. Solitonless Sector	2001	A. H. Vartanian
+	Large-time continuum asymptotics of dark solitons	2000	A. H. Vartanian
+ PDF Chat	Higher order asymptotics of the modified non-linear schrödinger equation	2000	A. H. Vartanian
+ PDF Chat	Asymptotics of Solutions to the Modified Nonlinear Schrödinger Equation: Solitons on a Nonvanishing Continuous Background	1999	A. V. Kitaev A. H. Vartanian
+	Higher Order Asymptotics of the Modified Non-Linear Schrödinger Equation	1998	A. H. Vartanian
+	Asymptotics of Solutions to the Modified Nonlinear Schrödinger Equation: Solitons on a Non-Vanishing Continuous Background	1998	A. V. Kitaev A. H. Vartanian
+ PDF Chat	Leading-order temporal asymptotics of the modified nonlinear Schrödinger equation: solitonless sector	1997	A. V. Kitaev A. H. Vartanian

Common Coauthors

Coauthor	Papers Together
A. V. Kitaev	9
K. T-R McLaughlin	7
Xiaowen Zhou	5
Xin Zhou	2
Mikhail Y. Kovalyov	1
Xin Zhou	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	A Steepest Descent Method for Oscillatory Riemann--Hilbert Problems. Asymptotics for the MKdV Equation	1993	Percy Deift Xin Zhou	12
+	Asymptotics for the painlevé II equation	1995	Percy Deift Xin Zhou	12
+	Direct and inverse scattering transforms with arbitrary spectral singularities	1989	Xin Zhou	12
+	Scattering and inverse scattering for first order systems	1984	Richard Beals Ronald R. Coifman	12
+	The Riemann–Hilbert Problem and Inverse Scattering	1989	Xin Zhou	11
+	Inverse Scattering Transform for Systems with Rational Spectral Dependence	1995	Zhouping Xin	11
+	Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach	2000	Percy Deift	10
+	L2-Sobolev space bijectivity of the scattering and inverse scattering transforms	1998	Xin Zhou	8
+	Strong regularizing effect of integrable systems	1997	Zhou Xin	6
+	Strong asymptotics of orthogonal polynomials with respect to exponential weights	1999	Percy Deift Thomas Kriecherbauer K. T‐R McLaughlin Stephanos Venakides Xiaowen Zhou	6
+	Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory	1999	Percy Deift T. Kriecherbauer K. T-R McLaughlin Stephanos Venakides Xin Zhou	6
+	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	Percy Deift Alexander Its Xin Zhou	5
+	On the distribution of the length of the longest increasing subsequence of random permutations	1999	Jinho Baik Percy Deift Kurt Johansson	5
+	Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields	2000	Arno B. J. Kuijlaars K. T-R McLaughlin	5
+ PDF Chat	A modified Schur algorithm and an extended Hamburger moment problem	1991	Olav Njåstad	5
+	Factorization of Matrix Functions and Singular Integral Operators	1981	Kevin F. Clancey Israel Gohberg	5
+	New Results on the Equilibrium Measure for Logarithmic Potentials in the Presence of an External Field	1998	Percy Deift Thomas Kriecherbauer K. T-R McLaughlin	5
+	Inverse Scattering Method for the Nonlinear Evolution Equations under Nonvanishing Conditions	1978	Tutomu Kawata Hiroshi Inoué	5
+ PDF Chat	Asymptotics of Solutions to the Modified Nonlinear Schrödinger Equation: Solitons on a Nonvanishing Continuous Background	1999	A. V. Kitaev A. H. Vartanian	5
+	Direct and inverse scattering on the line with arbitrary singularities	1991	Percy Deift Xin Zhou	5
+ PDF Chat	Discrete Painlevé equations and their appearance in quantum gravity	1991	A. S. Fokas A. R. Its A. V. Kitaev	5
+	Non-self-adjoint Zakharov–Shabat operator with a potential of the finite asymptotic values. I. Direct spectral and scattering problems	1981	Naruyoshi Asano Yusuke Kato	5
+	Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II	1979	В. Е. Захаров A. B. Shabat	5
+	None	1997	Percy Deift Stephanos Venakides Xiaowen Zhou	5
+ PDF Chat	Monodromy- and spectrum-preserving deformations I	1980	H. Flaschka Alan C. Newell	5
+	Semiclassical soliton ensembles for the focusing nonlinear Schrödinger equation	2003	Spyridon Kamvissis K. T-R McLaughlin Peter D. Miller	5
+	On fluctuations of eigenvalues of random Hermitian matrices	1998	Kurt Johansson	5
+	The Cauchy problem for the sinh-Gordon equation and regular solitons	1998	Anne Boutet de Monvel E. Ya. Khruslov Vladimir Kotlyarov	5
+	The isomonodromy approach to matric models in 2D quantum gravity	1992	A. S. Fokas A. R. Its A. V. Kitaev	5
+ PDF Chat	Orthogonal Rational Functions	1999	Adhemar Bultheel Pablo González-Vera Erik Hendriksen Olav Njåstad	4
+	Strong asymptotics of orthogonal polynomials with respect to exponential weights	1999	Percy Deift Thomas Kriecherbauer K. T-R McLaughlin Stephanos Venakides Xiaowen Zhou	4
+ PDF Chat	Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation: I	2004	A. V. Kitaev A. H. Vartanian	4
+ PDF Chat	Leading-order temporal asymptotics of the modified nonlinear Schrödinger equation: solitonless sector	1997	A. V. Kitaev A. H. Vartanian	4
+	None	2003	Nicholas M. Ercolani K. T-R McLaughlin	4
+ PDF Chat	Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices	2006	Percy Deift Dimitri Gioev	4
+ PDF Chat	Perturbation theory for infinite-dimensional integrable systems on the line. A case study	2002	Percy Deift Xin Zhou	4
+	None	1999	T. Kriecherbauer K. T-R McLaughlin	4
+	The Riemann–Hilbert approach to strong asymptotics for orthogonal polynomials on [−1,1]	2004	Arno B. J. Kuijlaars K. T-R McLaughlin Walter Van Assche M. Vanlessen	4
+	Sharp constants for rational approximations of analytic functions	2002	Alexander Ivanovich Aptekarev	4
+	Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. III	1981	Michio Jimbo Tetsuji Miwa	4
+	Strong asymptotics of the recurrence coefficients of orthogonal polynomials associated to the generalized Jacobi weight	2003	M. Vanlessen	4
+	Non-self-adjoint Zakharov–Shabat operator with a potential of the finite asymptotic values. II. Inverse problem	1984	Naruyoshi Asano Yusuke Kato	4
+ PDF Chat	Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation: II	2010	A. V. Kitaev A. H. Vartanian	4
+ PDF Chat	Long‐time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space	2002	Percy Deift Xin Zhou	4
+ PDF Chat	Long-time asymptotics for integrable systems. Higher order theory	1994	Percy Deift Xin Zhou	4
+	Formulation of scattering theory for the nonlinear Schr�dinger equation with boundary conditions of the finite density type in a soliton-free sector	1991	A. R. Its A. F. Ustinov	4
+	The Formula steepest descent method and the asymptotic behavior of polynomials orthogonal on the unit circle with fixed and exponentially varying nonanalytic weights	2006	K. T-R McLaughlin Peter D. Miller	4
+ PDF Chat	Universal Behavior for Averages of Characteristic Polynomials at the Origin of the Spectrum	2004	M. Vanlessen	3
+	The strong Hamburger moment problem and self-adjoint operators in Hilbert space	1987	Erik Hendriksen	3
+	Orthogonal Polynomials on the Unit Circle	2005	Barry Simon	3