Thomas J. Bothner, Ph.D.
Affiliations: | 2013 | Mathematics | Purdue University, West Lafayette, IN, United States |
Area:
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"Thomas Bothner"Parents
Sign in to add mentor| Alexander R. Its | grad student | 2013 | Purdue | |
| (Asymptotics of the Fredholm determinant corresponding to the first bulk critical universality class in random matrix models.) | ||||
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Publications
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| Bothner T, Miller PD. (2020) Rational Solutions of the Painlevé-III Equation: Large Parameter Asymptotics Constructive Approximation. 51: 123-224 |
| Bothner T, Its A, Prokhorov A. (2019) On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo–Miwa–Ueno differential Advances in Mathematics. 345: 483-551 |
| Bothner TJ, Miller PD, Sheng Y. (2018) Rational Solutions of the Painlevé‐III Equation Studies in Applied Mathematics. 141: 626-679 |
| Bothner T, Deift P, Its A, et al. (2018) The sine process under the influence of a varying potential Journal of Mathematical Physics. 59: 091414 |
| Bothner TJ, Warner W. (2018) Short Distance Asymptotics for a Generalized Two-point Scaling Function in the Two-dimensional Ising Model Mathematical Physics Analysis and Geometry. 21: 1-14 |
| Bothner T. (2018) A Short Note on the Scaling Function Constant Problem in the Two-Dimensional Ising Model Journal of Statistical Physics. 170: 672-683 |
| Bothner TJ, Buckingham R. (2018) Large deformations of the Tracy-Widom distribution I. Non-oscillatory asymptotics Communications in Mathematical Physics. 359: 223-263 |
| Bothner T. (2017) Transition asymptotics for the Painlevé II transcendent Duke Mathematical Journal. 166: 205-324 |
| Bothner TJ. (2016) From gap probabilities in random matrix theory to eigenvalue expansions Journal of Physics A. 49: 75204 |
| Balogh F, Bertola M, Bothner TJ. (2016) Hankel Determinant Approach to Generalized Vorob’ev–Yablonski Polynomials and Their Roots Constructive Approximation. 44: 417-453 |