Bothner, Thomas A Riemann-Hilbert approach to Fredholm determinants of Hankel composition operators: scalar-valued kernels. (English) Zbl 07749845 J. Funct. Anal. 285, No. 12, Article ID 110160, 109 p. (2023). MSC: 45P05 47B35 47G10 35Q15 PDFBibTeX XMLCite \textit{T. Bothner}, J. Funct. Anal. 285, No. 12, Article ID 110160, 109 p. (2023; Zbl 07749845) Full Text: DOI arXiv
Baik, Jinho; Bothner, Thomas Edge distribution of thinned real eigenvalues in the real Ginibre ensemble. (English) Zbl 1498.60025 Ann. Henri Poincaré 23, No. 11, 4003-4056 (2022). MSC: 60B20 45M05 60G70 15B52 PDFBibTeX XMLCite \textit{J. Baik} and \textit{T. Bothner}, Ann. Henri Poincaré 23, No. 11, 4003--4056 (2022; Zbl 1498.60025) Full Text: DOI arXiv
Baik, Jinho; Bothner, Thomas The largest real eigenvalue in the real Ginibre ensemble and its relation to the Zakharov-Shabat system. (English) Zbl 1434.60018 Ann. Appl. Probab. 30, No. 1, 460-501 (2020). MSC: 60B20 15B52 45M05 60G70 PDFBibTeX XMLCite \textit{J. Baik} and \textit{T. Bothner}, Ann. Appl. Probab. 30, No. 1, 460--501 (2020; Zbl 1434.60018) Full Text: DOI arXiv Euclid
Bothner, Thomas; Miller, Peter D. Rational solutions of the Painlevé-III equation: large parameter asymptotics. (English) Zbl 1435.34093 Constr. Approx. 51, No. 1, 123-224 (2020). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 34M55 34M50 33E17 34E05 PDFBibTeX XMLCite \textit{T. Bothner} and \textit{P. D. Miller}, Constr. Approx. 51, No. 1, 123--224 (2020; Zbl 1435.34093) Full Text: DOI arXiv
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
Bothner, Thomas; Warner, William Short distance asymptotics for a generalized two-point scaling function in the two-dimensional Ising model. (English) Zbl 1407.82018 Math. Phys. Anal. Geom. 21, No. 4, Paper No. 37, 14 p. (2018). MSC: 82B20 70S05 34M55 PDFBibTeX XMLCite \textit{T. Bothner} and \textit{W. Warner}, Math. Phys. Anal. Geom. 21, No. 4, Paper No. 37, 14 p. (2018; Zbl 1407.82018) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{T. Bothner} et al., J. Math. Phys. 59, No. 9, 091414, 6 p. (2018; Zbl 1404.60010) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{T. Bothner} and \textit{R. Buckingham}, Commun. Math. Phys. 359, No. 1, 223--263 (2018; Zbl 1407.60005) Full Text: DOI arXiv
Balogh, Ferenc; Bertola, Marco; Bothner, Thomas Hankel determinant approach to generalized Vorob’ev-Yablonski polynomials and their roots. (English) Zbl 1376.34073 Constr. Approx. 44, No. 3, 417-453 (2016). Reviewer: Andrew Pickering (Madrid) MSC: 34M55 35Q53 34M50 PDFBibTeX XMLCite \textit{F. Balogh} et al., Constr. Approx. 44, No. 3, 417--453 (2016; Zbl 1376.34073) Full Text: DOI arXiv
Bleher, Pavel; Bothner, Thomas Calculation of the constant factor in the six-vertex model. (English) Zbl 1432.82009 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 1, No. 4, 363-427 (2014). MSC: 82B20 15B52 82B26 PDFBibTeX XMLCite \textit{P. Bleher} and \textit{T. Bothner}, Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 1, No. 4, 363--427 (2014; Zbl 1432.82009) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{T. Bothner} and \textit{A. Its}, Commun. Math. Phys. 328, No. 1, 155--202 (2014; Zbl 1290.15004) Full Text: DOI Link