Basor, Estelle; Ehrhardt, Torsten; Gharakhloo, Roozbeh; Its, Alexander; Li, Yuqi Asymptotics of bordered Toeplitz determinants and next-to-diagonal Ising correlations. (English) Zbl 07491685 J. Stat. Phys. 187, No. 1, Paper No. 8, 49 p. (2022). Reviewer: Miyeon Kwon (Platteville) MSC: 47B35 82B20 35Q15 15A15 15B05 15B52 PDFBibTeX XMLCite \textit{E. Basor} et al., J. Stat. Phys. 187, No. 1, Paper No. 8, 49 p. (2022; Zbl 07491685) Full Text: DOI arXiv
Its, A.; Sukhanov, V. Large time asymptotics for the cylindrical Korteweg-de Vries equation. I. (English) Zbl 1451.35163 Nonlinearity 33, No. 10, 5215-5245 (2020). MSC: 35Q53 35B40 37K15 35K35 35P25 35Q15 PDFBibTeX XMLCite \textit{A. Its} and \textit{V. Sukhanov}, Nonlinearity 33, No. 10, 5215--5245 (2020; Zbl 1451.35163) Full Text: DOI
Bothner, Thomas; Its, Alexander; Prokhorov, Andrei On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo-Miwa-Ueno differential. (English) Zbl 1447.60038 Adv. Math. 345, 483-551 (2019). MSC: 60E05 45M05 82B26 70S05 33C10 33C15 PDFBibTeX XMLCite \textit{T. Bothner} et al., Adv. Math. 345, 483--551 (2019; Zbl 1447.60038) Full Text: DOI arXiv
Its, A. R.; Lisovyy, O.; Prokhorov, A. Monodromy dependence and connection formulae for isomonodromic tau functions. (English) Zbl 1396.33039 Duke Math. J. 167, No. 7, 1347-1432 (2018). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 33E17 34E05 34E10 34M35 34M40 34M55 34M56 PDFBibTeX XMLCite \textit{A. R. Its} et al., Duke Math. J. 167, No. 7, 1347--1432 (2018; Zbl 1396.33039) Full Text: DOI arXiv Euclid
Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. II. (English) Zbl 1382.82014 Bini, Dario A. (ed.) et al., Large truncated Toeplitz matrices, Toeplitz operators, and related topics. The Albrecht Böttcher anniversary volume. Basel: Birkhäuser/Springer (ISBN 978-3-319-49180-6/hbk; 978-3-319-49182-0/ebook). Operator Theory: Advances and Applications 259, 213-234 (2017). MSC: 82B23 47B35 34E05 34M50 15B05 PDFBibTeX XMLCite \textit{T. Bothner} et al., Oper. Theory: Adv. Appl. 259, 213--234 (2017; Zbl 1382.82014) Full Text: DOI arXiv
Deift, Percy; Its, Alexander; Krasovsky, Igor On the asymptotics of a Toeplitz determinant with singularities. (English) Zbl 1326.35218 Deift, Percy (ed.) et al., Random matrix theory, interacting particle systems and integrable systems. New York, NY: Cambridge University Press (ISBN 978-1-107-07992-2/hbk). Mathematical Sciences Research Institute Publications 65, 93-146 (2014). MSC: 35Q15 15B05 33C45 33C52 60H25 45E10 35B40 PDFBibTeX XMLCite \textit{P. Deift} et al., Math. Sci. Res. Inst. Publ. 65, 93--146 (2014; Zbl 1326.35218) Full Text: arXiv
Deift, P.; Its, A.; Krasovsky, I. Eigenvalues of Toeplitz matrices in the bulk of the spectrum. (English) Zbl 1292.15029 Bull. Inst. Math., Acad. Sin. (N.S.) 7, No. 4, 437-461 (2012). MSC: 15B05 15A18 15A15 PDFBibTeX XMLCite \textit{P. Deift} et al., Bull. Inst. Math., Acad. Sin. (N.S.) 7, No. 4, 437--461 (2012; Zbl 1292.15029) Full Text: arXiv
Bothner, Thomas; Its, Alexander The nonlinear steepest descent approach to the singular asymptotics of the second Painlevé transcendent. (English) Zbl 1266.34142 Physica D 241, No. 23-24, 2204-2225 (2012). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 34M60 34M55 34M56 PDFBibTeX XMLCite \textit{T. Bothner} and \textit{A. Its}, Physica D 241, No. 23--24, 2204--2225 (2012; Zbl 1266.34142) Full Text: DOI arXiv
Garoufalidis, Stavros; Its, Alexander; Kapaev, Andrei; Mariño, Marcos Asymptotics of the instantons of Painlevé I. (English) Zbl 1245.34087 Int. Math. Res. Not. 2012, No. 3, 561-606 (2012). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 34M55 34M30 34M40 34M25 PDFBibTeX XMLCite \textit{S. Garoufalidis} et al., Int. Math. Res. Not. 2012, No. 3, 561--606 (2012; Zbl 1245.34087) Full Text: DOI arXiv
Its, Alexander R. Large \(N\) asymptotics in random matrices. The Riemann-Hilbert approach. (English) Zbl 1248.15030 Harnad, John (ed.), Random matrices, random processes and integrable systems. Berlin: Springer (ISBN 978-1-4419-9513-1/hbk; 978-1-4419-9514-8/ebook). CRM Series in Mathematical Physics, 351-413 (2011). Reviewer: Ludwig Kohaupt (Berlin) MSC: 15B52 PDFBibTeX XMLCite \textit{A. R. Its}, in: Random matrices, random processes and integrable systems. Berlin: Springer. 351--413 (2011; Zbl 1248.15030) Full Text: DOI
Boutet de Monvel, Anne; Its, Alexander; Kotlyarov, Vladimir Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition on the half-line. (English) Zbl 1185.37153 Commun. Math. Phys. 290, No. 2, 479-522 (2009). Reviewer: Vjacheslav Yurko (Saratov) MSC: 37K15 35Q55 PDFBibTeX XMLCite \textit{A. Boutet de Monvel} et al., Commun. Math. Phys. 290, No. 2, 479--522 (2009; Zbl 1185.37153) Full Text: DOI
Its, A. R.; Kapaev, A. A. The nonlinear steepest descent approach to the asymptotics of the second Painlevé transcendent in the complex domain. (English) Zbl 1047.34104 Kashiwara, Masaki (ed.) et al., MathPhys odyssey 2001. Integrable models and beyond. In honor of Barry M. McCoy, dedicated to his 60th birthday. Boston: Birkhäuser (ISBN 0-8176-4260-9). Prog. Math. Phys. 23, 273-311 (2002). Reviewer: John Schmeelk (Doha) MSC: 34M55 34M30 34M50 PDFBibTeX XMLCite \textit{A. R. Its} and \textit{A. A. Kapaev}, Prog. Math. Phys. 23, 273--311 (2002; Zbl 1047.34104) Full Text: arXiv
Its, A. R.; Kapaev, A. A. The irreducibility of the second Painlevé equation and the isomonodromy method. (English) Zbl 1048.34149 Howls, Christopher J. (ed.) et al., Toward the exact WKB analysis of differential equations, linear or non-linear. Papers from the symposium on algebraic analysis of singular perturbations, Kyoto, Japan, November 30–December 5, 1998. Kyoto: Kyoto University Press (ISBN 4-87698-089-6). 209-222 (2000). Reviewer: Kyoichi Takano (Kobe) MSC: 34M55 PDFBibTeX XMLCite \textit{A. R. Its} and \textit{A. A. Kapaev}, in: Toward the exact WKB analysis of differential equations, linear or non-linear. Papers from the symposium on algebraic analysis of singular perturbations, Kyoto, Japan, November 30--December 5, 1998. Kyoto: Kyoto University Press. 209--222 (2000; Zbl 1048.34149)
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)
Fokas, A. S.; Its, A. R. The isomonodromy method and the Painlevé equations. (English) Zbl 0826.35119 Fokas, A. S. (ed.) et al., Important developments in soliton theory. Berlin: Springer-Verlag. Springer Ser. Nonlinear Dyn. 99-122 (1993). Reviewer: S.Kichenassamy (Minneapolis) MSC: 35Q58 37J35 37K10 35Q15 34E05 83C45 PDFBibTeX XMLCite \textit{A. S. Fokas} and \textit{A. R. Its}, in: Important developments in soliton theory. Berlin: Springer-Verlag. 99--122 (1993; Zbl 0826.35119)
Its, A. R.; Izergin, A. G.; Korepin, V. E. Time and temperature dependent correlation function of impenetrable Bose gas field correlator in the impenetrable Bose gas. (English) Zbl 0743.35076 Inverse scattering and applications, Proc. AMS-IMS-SIAM Conf., Amherst/MA (USA) 1990, Contemp. Math. 122, 61-72 (1991). MSC: 35Q55 82C35 35Q15 82D05 PDFBibTeX XMLCite \textit{A. R. Its} et al., Contemp. Math. 122, 61--72 (1991; Zbl 0743.35076)
Its, A. R.; Izergin, A. G.; Korepin, V. E. Long-distance asymptotics of temperature correlators of the impenetrable Bose gas. (English) Zbl 0702.76089 Commun. Math. Phys. 130, No. 3, 471-488 (1990). MSC: 76P05 82D05 PDFBibTeX XMLCite \textit{A. R. Its} et al., Commun. Math. Phys. 130, No. 3, 471--488 (1990; Zbl 0702.76089) Full Text: DOI
Its, A. R. On connections between solitons and finite-gap solutions of the nonlinear Schrödinger equation. (English) Zbl 0608.34063 Sel. Math. Sov. 5, 29-43 (1986). MSC: 34E05 34C10 PDFBibTeX XMLCite \textit{A. R. Its}, Sel. Math. Sov. 5, 29--43 (1986; Zbl 0608.34063)
Its, A. R. The asymptotic behavior of solutions to the radial Schrödinger equation with oscillating potential at energy zero. (English) Zbl 0542.34049 Sel. Math. Sov. 3, 291-300 (1984). MSC: 34E05 34C10 PDFBibTeX XMLCite \textit{A. R. Its}, Sel. Math. Sov. 3, 291--300 (1984; Zbl 0542.34049)
Its, A. R.; Petrov, V. E. “Isomonodromic” solutions of the sine-Gordon equation and the time asymptotics of its rapidly decreasing solutions. (English. Russian original) Zbl 0588.35076 Sov. Math., Dokl. 26, 244-247 (1982); translation from Dokl. Akad. Nauk SSSR 265, 1302-1306 (1982). Reviewer: N.D.Kazarinoff MSC: 35Q99 35P25 35J10 35L67 PDFBibTeX XMLCite \textit{A. R. Its} and \textit{V. E. Petrov}, Sov. Math., Dokl. 26, 244--247 (1982; Zbl 0588.35076); translation from Dokl. Akad. Nauk SSSR 265, 1302--1306 (1982)
Its, A. R. Asymptotics of solutions of the nonlinear Schrödinger equation and isomonodromic deformations of systems of linear differential equations. (English. Russian original) Zbl 0534.35028 Sov. Math., Dokl. 24, 452-456 (1981); translation from Dokl. Akad. Nauk SSSR 261, 14-18 (1981). Reviewer: V.K.Kumar MSC: 35J10 35B40 35Q15 PDFBibTeX XMLCite \textit{A. R. Its}, Sov. Math., Dokl. 24, 452--456 (1981; Zbl 0534.35028); translation from Dokl. Akad. Nauk SSSR 261, 14--18 (1981)
Its, A. R. Asymptotics of solutions of the radial Schrödinger equation with an oscillating potential at zero energy. (Russian) Zbl 0493.34044 Probl. Mat. Fiz. 9, 30-41 (1979). MSC: 34E05 34C10 PDFBibTeX XMLCite \textit{A. R. Its}, Probl. Mat. Fiz. 9, 30--41 (1979; Zbl 0493.34044)
Its, A. R.; Matveev, V. B. Coordinate asymptotics for the Schrödinger equation with a rapidly oscillating potential. (English) Zbl 0401.35025 J. Sov. Math. 11, 442-444 (1979). MSC: 35J05 35B40 PDFBibTeX XMLCite \textit{A. R. Its} and \textit{V. B. Matveev}, J. Sov. Math. 11, 442--444 (1979; Zbl 0401.35025) Full Text: DOI