Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor The sine process under the influence of a varying potential. (English) Zbl 1404.60010 J. Math. Phys. 59, No. 9, 091414, 6 p. (2018). MSC: 60B20 60G55 15B52 PDF BibTeX XML Cite \textit{T. Bothner} et al., J. Math. Phys. 59, No. 9, 091414, 6 p. (2018; Zbl 1404.60010) Full Text: DOI arXiv OpenURL
Bothner, Thomas; Buckingham, Robert Large deformations of the Tracy-Widom distribution. I: Non-oscillatory asymptotics. (English) Zbl 1407.60005 Commun. Math. Phys. 359, No. 1, 223-263 (2018). MSC: 60B20 15B52 60F10 PDF BibTeX XML Cite \textit{T. Bothner} and \textit{R. Buckingham}, Commun. Math. Phys. 359, No. 1, 223--263 (2018; Zbl 1407.60005) Full Text: DOI arXiv OpenURL
Bothner, Thomas; Its, Alexander Rudol’fovich Asymptotics of a cubic sine kernel determinant. (English) Zbl 1318.82015 St. Petersbg. Math. J. 26, No. 4, 515-565 (2015) and Algebra Anal. 26, No. 4, 2-91 (2014). MSC: 82B23 33E05 34E05 34M50 82C23 15B52 15A15 PDF BibTeX XML Cite \textit{T. Bothner} and \textit{A. R. Its}, St. Petersbg. Math. J. 26, No. 4, 515--565 (2015; Zbl 1318.82015) Full Text: DOI arXiv OpenURL
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. I. (English) Zbl 1321.82027 Commun. Math. Phys. 337, No. 3, 1397-1463 (2015). Reviewer: Guy Jumarie (Montréal) MSC: 82C22 15B52 15A18 15A15 60G55 PDF BibTeX XML Cite \textit{T. Bothner} et al., Commun. Math. Phys. 337, No. 3, 1397--1463 (2015; Zbl 1321.82027) Full Text: DOI arXiv OpenURL
Bothner, Thomas; Its, Alexander Asymptotics of a Fredholm determinant corresponding to the first bulk critical universality class in random matrix models. (English) Zbl 1290.15004 Commun. Math. Phys. 328, No. 1, 155-202 (2014). MSC: 15A15 15A18 15B52 15B57 47A53 34M55 PDF BibTeX XML Cite \textit{T. Bothner} and \textit{A. Its}, Commun. Math. Phys. 328, No. 1, 155--202 (2014; Zbl 1290.15004) Full Text: DOI Link OpenURL
Deift, P.; Its, A.; Krasovsky, I.; Zhou, X. The Widom–Dyson constant for the gap probability in random matrix theory. (English) Zbl 1116.15019 J. Comput. Appl. Math. 202, No. 1, 26-47 (2007). Reviewer: Václav Burjan (Praha) MSC: 15B52 PDF BibTeX XML Cite \textit{P. Deift} et al., J. Comput. Appl. Math. 202, No. 1, 26--47 (2007; Zbl 1116.15019) Full Text: DOI arXiv OpenURL
Pastur, L. From random matrices to quasi-periodic Jacobi matrices via orthogonal polynomials. (English) Zbl 1118.15023 J. Approximation Theory 139, No. 1-2, 269-292 (2006). Reviewer: Shuhuang Xiang (Changsha) MSC: 15B52 47B36 58J53 42C05 15A18 PDF BibTeX XML Cite \textit{L. Pastur}, J. Approx. Theory 139, No. 1--2, 269--292 (2006; Zbl 1118.15023) Full Text: DOI arXiv Link OpenURL