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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
392015
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
352019
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
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
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
192022
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: large parameter asymptotics
T Bothner, PD Miller
Constructive Approximation 51 (1), 123-224, 2020
192020
Rational Solutions of the Painlevé‐III Equation
T Bothner, PD Miller, Y Sheng
Studies in Applied Mathematics 141 (4), 626-679, 2018
182018
Hankel determinant approach to generalized Vorob’ev–Yablonski polynomials and their roots
F Balogh, M Bertola, T Bothner
Constructive Approximation 44, 417-453, 2016
182016
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
152017
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
122014
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
82018
Tail decay for the distribution of the endpoint of a directed polymer
T Bothner, K Liechty
arXiv preprint arXiv:1212.3816, 2012
82012
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