Образец цитирования:
A. A. Bolibruch, A. R. Its, A. A. Kapaev, “On the Riemann–Hilbert–Birkhoff inverse monodromy problem and the Painlevé equations”, Алгебра и анализ, 16:1 (2004), 121–162; St. Petersburg Math. J., 16:1 (2005), 105–142
Bothner T., “On the Origins of Riemann-Hilbert Problems in Mathematics”, Nonlinearity, 34:4 (2021), R1–R73
А. В. Домрин, Б. И. Сулейманов, М. А. Шумкин, “О глобальной мероморфности решений уравнений Пенлеве и их иерархий”, Анализ и математическая физика, Сборник статей. К 70-летию со дня рождения профессора Армена Глебовича Сергеева, Труды МИАН, 311, МИАН, М., 2020, 106–122; A. V. Domrin, B. I. Suleimanov, M. A. Shumkin, “Global Meromorphy of Solutions of the Painlevé Equations and Their Hierarchies”, Proc. Steklov Inst. Math., 311 (2020), 98–113
Bothner T., Its A., Prokhorov A., “On the Analysis of Incomplete Spectra in Random Matrix Theory Through An Extension of the Jimbo-Miwa-Ueno Differential”, Adv. Math., 345 (2019), 483–551
Hu W., “Singular Asymptotics For Solutions of the Inhomogeneous Painleve II Equation”, Nonlinearity, 32:10 (2019), 3843–3872
Desiraju H., “The Tau-Function of the Ablowitz-Segur Family of Solutions to Painleve II as a Widom Constant”, J. Math. Phys., 60:11 (2019), 113505
Its A.R., Lisovyy O., Prokhorov A., “Monodromy Dependence and Connection Formulae For Isomonodromic Tau Functions”, Duke Math. J., 167:7 (2018), 1347–1432
Bothner T., “Transition asymptotics for the Painlevé II transcendent”, Duke Math. J., 166:2 (2017), 205–324
Guest M.A., Hertling C., “Painlevé III: a Case Study in the Geometry of Meromorphic Connections Preface”: Guest, MA Hertling, C, Painleve III: a Case Study in the Geometry of Meromorphic Connections, Lect. Notes Math., Lecture Notes in Mathematics, 2198, Springer International Publishing Ag, 2017, V+
К. Митчи, “Некоторые приложения параметрической теории Пикара–Вессио”, Изв. РАН. Сер. матем., 80:1 (2016), 177–200; C. Mitschi, “Some applications of parameterized Picard–Vessiot theory”, Izv. Math., 80:1 (2016), 167–188
Bothner T., Liechty K., “Tail Decay for the Distribution of the Endpoint of a Directed Polymer”, Nonlinearity, 26:5 (2013), 1449–1472
Bothner T., Its A., “The Nonlinear Steepest Descent Approach to the Singular Asymptotics of the Second Painlevé Transcendent”, Physica D, 241:23-24 (2012), 2204–2225
Mitschi C., Singer M.F., “Monodromy Groups of Parameterized Linear Differential Equations with Regular Singularities”, Bull. London Math. Soc., 44:Part 5 (2012), 913–930
Do Y., “A Nonlinear Stationary Phase Method for Oscillatory Riemann–Hilbert Problems”, Int Math Res Not, 2011, no. 12, 2650–2765
Its A., Niles D., “On the Riemann–Hilbert-Birkhoff Inverse Monodromy Problem Associated with the Third Painlevé Equation”, Lett Math Phys, 96:1–3 (2011), 85–108
Baik J., Buckingham R., DiFranco J., Its A., “Total integrals of global solutions to Painlevé II”, Nonlinearity, 22:5 (2009), 1021–1061
Mityushev V. V., Rogosin S. V., “On the Riemann–Hilbert problem with a piecewise constant matrix”, Z. Anal. Anwend., 27:1 (2008), 53–66
Novokshenov V.Yu., “The Riemann–Hilbert problem and special functions”, Geometric Methods in Physics, AIP Conference Proceedings, 1079, 2008, 149–161
Novokshenov V.Yu., “Connection formulas for the third Painlevé transcendent in the complex plane”, Integrable Systems and Random Matrices: in Honor of Percy Deift, Contemporary Mathematics Series, 458, 2008, 55–69
Novokshenov V.Yu., “Asymptotics in the Complex Plane of the Third Painlevé Transcendent”, Difference Equations, Special Functions and Orthogonal Polynomials, 2007, 432–451
Sabbah C., “The work of Andrey Bolibrukh on isomonodromic deformations”, Differential Equations and Quantum Groups - ANDREY A. BOLIBRUKH MEMORIAL VOLUME, Irma Lectures in Mathematics and Theoretical Physics, 9, 2007, 9–25