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Found 24 Documents (Results 1–24)

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).
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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).
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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).
MSC:  15B52
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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).
MSC:  34M55 34M30 34M50
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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).
MSC:  34M55
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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).
MSC:  33C45 42C05 30E15
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“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
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