Large deformations of the Tracy–Widom distribution I: non-oscillatory asymptotics T Bothner, R Buckingham Communications in Mathematical Physics 359, 223-263, 2018 | 57 | 2018 |
On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential I T Bothner, P Deift, A Its, I Krasovsky Communications in Mathematical Physics 337, 1397-1463, 2015 | 45 | 2015 |
Zeros of large degree Vorob’ev–Yablonski polynomials via a Hankel determinant identity M Bertola, T Bothner International Mathematics Research Notices 2015 (19), 9330-9399, 2015 | 41 | 2015 |
Universality conjecture and results for a model of several coupled positive-definite matrices M Bertola, T Bothner Communications in Mathematical Physics 337, 1077-1141, 2015 | 38 | 2015 |
On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo–Miwa–Ueno differential T Bothner, A Its, A Prokhorov Advances in Mathematics 345, 483-551, 2019 | 36 | 2019 |
On the origins of Riemann–Hilbert problems in mathematics T Bothner Nonlinearity 34 (4), R1, 2021 | 34 | 2021 |
Rational solutions of the Painlevé-III equation: large parameter asymptotics T Bothner, PD Miller Constructive Approximation 51 (1), 123-224, 2020 | 24 | 2020 |
Transition asymptotics for the Painlevé II transcendent T Bothner | 23 | 2017 |
The largest real eigenvalue in the real Ginibre ensemble and its relation to the Zakharov–Shabat system J Baik, T Bothner | 22 | 2020 |
Momenta spacing distributions in anharmonic oscillators and the higher order finite temperature Airy kernel T Bothner, M Cafasso, S Tarricone Annales de l'Institut Henri Poincare (B) Probabilites et statistiques 58 (3 …, 2022 | 20 | 2022 |
Rational solutions of the Painlevé‐III equation T Bothner, PD Miller, Y Sheng Studies in Applied Mathematics 141 (4), 626-679, 2018 | 20 | 2018 |
The nonlinear steepest descent approach to the singular asymptotics of the second Painlevé transcendent T Bothner, A Its Physica D: Nonlinear Phenomena 241 (23-24), 2204-2225, 2012 | 20 | 2012 |
Hankel determinant approach to generalized Vorob’ev–Yablonski polynomials and their roots F Balogh, M Bertola, T Bothner Constructive Approximation 44, 417-453, 2016 | 19 | 2016 |
Exact solution of the six-vertex model with domain wall boundary conditions: critical line between disordered and antiferroelectric phases P Bleher, T Bothner Random Matrices: Theory and Applications 1 (04), 1250012, 2012 | 17 | 2012 |
On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential II T Bothner, P Deift, A Its, I Krasovsky Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics …, 2017 | 15 | 2017 |
From gap probabilities in random matrix theory to eigenvalue expansions T Bothner arXiv preprint arXiv:1509.07159, 2015 | 14 | 2015 |
The complex elliptic Ginibre ensemble at weak non-Hermiticity: edge spacing distributions T Bothner, A Little arXiv preprint arXiv:2208.04684, 2022 | 11* | 2022 |
Asymptotics of a Fredholm determinant corresponding to the first bulk critical universality class in random matrix models T Bothner, A Its Communications in Mathematical Physics 328 (1), 155-202, 2014 | 11 | 2014 |
Asymptotics of a cubic sine kernel determinant T Bothner, A Its St. Petersburg Mathematical Journal 26 (4), 515-565, 2015 | 10 | 2015 |
The sine process under the influence of a varying potential T Bothner, P Deift, A Its, I Krasovsky Journal of Mathematical Physics 59 (9), 2018 | 9 | 2018 |