Its, Alexander Discrete Painlevé equations and orthogonal polynomials. (English) Zbl 1229.39011 Levi, Decio (ed.) et al., Symmetries and integrability of difference equations. Based upon lectures delivered during the summer school, Montreal, Canada, June 8–21, 2008. Cambridge: Cambridge University Press (ISBN 978-0-521-13658-7/pbk). London Mathematical Society Lecture Note Series 381, 139-159 (2011). MSC: 39A12 34M55 15B52 42C05 PDFBibTeX XMLCite \textit{A. Its}, Lond. Math. Soc. Lect. Note Ser. 381, 139--159 (2011; Zbl 1229.39011)
Chen, Yang; Its, Alexander R. A Riemann-Hilbert approach to the Akhiezer polynomials. (English) Zbl 1153.37426 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1867, 973-1003 (2008). MSC: 37K20 30E25 42C05 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{A. R. Its}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1867, 973--1003 (2008; Zbl 1153.37426) Full Text: DOI arXiv
Its, A.; Krasovsky, I. Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump. (English) Zbl 1163.15027 Baik, Jinho (ed.) et al., Integrable systems and random matrices. In honor of Percy Deift. Conference on integrable systems, random matrices, and applications in honor of Percy Deift’s 60th birthday, New York, NY, USA, May 22–26, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4240-9/pbk). Contemporary Mathematics 458, 215-247 (2008). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 15B52 47B35 34E05 34M50 42C05 15A15 PDFBibTeX XMLCite \textit{A. Its} and \textit{I. Krasovsky}, Contemp. Math. 458, 215--247 (2008; Zbl 1163.15027) Full Text: arXiv
Bleher, Pavel M.; Its, Alexander Asymptotics of the partition function of a random matrix model. (English) Zbl 1135.82016 Ann. Inst. Fourier 55, No. 6, 1943-2000 (2005). MSC: 82B44 15B52 37K10 41A60 42C05 PDFBibTeX XMLCite \textit{P. M. Bleher} and \textit{A. Its}, Ann. Inst. Fourier 55, No. 6, 1943--2000 (2005; Zbl 1135.82016) Full Text: DOI arXiv Numdam EuDML
Bleher, Pavel; Its, Alexander Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model. (English) Zbl 0956.42014 Ann. Math. (2) 150, No. 1, 185-266 (1999). Reviewer: D.S.Lubinsky (Wits) MSC: 42C05 33C05 15B52 33C45 41A60 PDFBibTeX XMLCite \textit{P. Bleher} and \textit{A. Its}, Ann. Math. (2) 150, No. 1, 185--266 (1999; Zbl 0956.42014) Full Text: DOI arXiv EuDML Link
Bleher, Pavel; Its, Alexander On asymptotic analysis of orthogonal polynomials via the Riemann-Hilbert method. (English) Zbl 0928.33005 Clarkson, Peter A. (ed.) et al., Symmetries and integrability of difference equations. Proceedings of the 2nd international conference, Canterbury, UK, July 1–5, 1996. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 255, 165-177 (1999). Reviewer: D.S.Lubinsky (Wits) MSC: 33C45 42C05 30E15 PDFBibTeX XMLCite \textit{P. Bleher} and \textit{A. Its}, Lond. Math. Soc. Lect. Note Ser. 255, 165--177 (1999; Zbl 0928.33005)