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Thomas Bothner
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Large deformations of the Tracy–Widom distribution I: non-oscillatory asymptotics
T Bothner, R Buckingham
Communications in Mathematical Physics 359, 223-263, 2018
542018
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
432015
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
402015
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
382015
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
342019
On the origins of Riemann–Hilbert problems in mathematics
T Bothner
Nonlinearity 34 (4), R1, 2021
312021
Transition asymptotics for the Painlevé II transcendent
T Bothner
232017
Rational solutions of the Painlevé-III equation: large parameter asymptotics
T Bothner, PD Miller
Constructive Approximation 51 (1), 123-224, 2020
222020
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
202012
The largest real eigenvalue in the real Ginibre ensemble and its relation to the Zakharov–Shabat system
J Baik, T Bothner
19*2020
Rational solutions of the Painlevé‐III equation
T Bothner, PD Miller, Y Sheng
Studies in Applied Mathematics 141 (4), 626-679, 2018
192018
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
182022
Hankel determinant approach to generalized Vorob’ev–Yablonski polynomials and their roots
F Balogh, M Bertola, T Bothner
Constructive Approximation 44, 417-453, 2016
172016
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
172012
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
142017
From gap probabilities in random matrix theory to eigenvalue expansions
T Bothner
Journal of Physics A: Mathematical and Theoretical 49 (7), 075204, 2016
132016
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
112014
Asymptotics of a cubic sine kernel determinant
T Bothner, A Its
St. Petersburg Mathematical Journal 26 (4), 515-565, 2015
102015
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
92018
The complex elliptic Ginibre ensemble at weak non-Hermiticity: edge spacing distributions
T Bothner, A Little
arXiv preprint arXiv:2208.04684, 2022
82022
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