Research output per year
Research output per year
Research output
- 21 results
Search results
-
2024
The complex elliptic Ginibre ensemble at weak non-Hermiticity: bulk spacing distributions
Bothner, T. & Little, A., 6 Jun 2024, In: Journal of Physics A. 57, 25, 54 p., 255201.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open Access -
The complex elliptic Ginibre ensemble at weak non-Hermiticity: edge spacing distributions
Bothner, T. & Little, A., 26 Jul 2024, In: Random Matrices: Theory and Applications . 13, 03, 2450012.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile1 Citation (Scopus)24 Downloads (Pure) -
2023
A Riemann-Hilbert approach to Fredholm determinants of Hankel composition operators: scalar-valued kernels
Bothner, T., 20 Sept 2023, In: Journal of Functional Analysis. 285, 12, p. 1-109 109 p., 110160.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open Access2 Citations (Scopus) -
2022
Edge distribution of thinned real eigenvalues in the real Ginibre ensemble
Baik, J. & Bothner, T., 1 Nov 2022, In: Annales Henri Poincaré. 23, 11, p. 4003-4056 54 p.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile2 Citations (Scopus)53 Downloads (Pure) -
Momenta spacing distributions in anharmonic oscillators and the higher order finite temperature Airy kernel
Bothner, T., Cafasso, M. & Tarricone, S., 1 Aug 2022, In: Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques. 58, 3, p. 1505–1546 42 p.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile9 Citations (Scopus)47 Downloads (Pure) -
2021
On the origins of Riemann-Hilbert problems in mathematics
Bothner, T., 22 Feb 2021, In: Nonlinearity. 34, 4, p. R1-R73 71 p.Research output: Contribution to journal › Review article (Academic Journal) › peer-review
Open AccessFile15 Citations (Scopus)283 Downloads (Pure) -
2020
Rational Solutions of the Painlevé-III Equation: Large Parameter Asymptotics
Bothner, T. & Miller, P. D., 1 Feb 2020, In: Constructive Approximation. 51, 1, p. 123-224 102 p.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile10 Citations (Scopus)75 Downloads (Pure) -
The largest real eigenvalue in the real Ginibre ensemble and its relation to the Zakharov–Shabat system
Baik, J. & Bothner, T., 25 Feb 2020, In: Annals of Applied Probability. 30, 1, p. 460-501 42 p.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile11 Citations (Scopus)59 Downloads (Pure) -
2019
On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo–Miwa–Ueno differential
Bothner, T., Its, A. & Prokhorov, A., 17 Mar 2019, In: Advances in Mathematics. 345, p. 483-551 69 p.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile20 Citations (Scopus)49 Downloads (Pure) -
2018
A Short Note on the Scaling Function Constant Problem in the Two-Dimensional Ising Model
Bothner, T., Feb 2018, In: Journal of Statistical Physics. 170, 4, p. 672-683 12 p.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile3 Citations (Scopus)68 Downloads (Pure) -
Rational Solutions of the Painlevé-III Equation
Bothner, T., Miller, P. D. & Sheng, Y., 1 Nov 2018, In: Studies in Applied Mathematics. p. 626-679 54 p.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile12 Citations (Scopus)70 Downloads (Pure) -
Short Distance Asymptotics for a Generalized Two-point Scaling Function in the Two-dimensional Ising Model
Bothner, T. & Warner, W., Dec 2018, In: Mathematical Physics, Analysis and Geometry. 21, 14 p., 37 (2018).Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile1 Citation (Scopus)56 Downloads (Pure) -
The sine process under the influence of a varying potential
Bothner, T., Deift, P., Its, A. & Krasovsky, I., 7 Sept 2018, (E-pub ahead of print) In: Journal of Mathematical Physics. 59, 9, 091414.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile9 Citations (Scopus)93 Downloads (Pure) -
2017
Large Deformations of the Tracy–Widom Distribution I: Non-oscillatory Asymptotics
Bothner, T. & Buckingham, R., 13 Oct 2017, In: Communications in Mathematical Physics. p. 223-263 41 p.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile36 Citations (Scopus)55 Downloads (Pure) -
On the Asymptotic Behavior of a Log Gas in the Bulk Scaling Limit in the Presence of a Varying External Potential II
Bothner, T., Deift, P., Its, A. & Krasovsky, I., 23 Mar 2017, (E-pub ahead of print) Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics: The Albrecht Böttcher Anniversary Volume. Bini, D. A., Ehrhardt, T., Karlovich, A. Y. & Spitkovsky, I. (eds.). Springer, Vol. 259. p. 213-234 ( Operator Theory: Advances and Applications; vol. 259).Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book
Open AccessFile11 Citations (Scopus)13 Downloads (Pure) -
2016
From gap probabilities in random matrix theory to eigenvalue expansions
Bothner, T., 13 Jan 2016, (E-pub ahead of print) In: Journal of Physics A: Mathematical and Theoretical. 49, 7, 78 p., 075204 .Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile12 Citations (Scopus)62 Downloads (Pure) -
Hankel Determinant Approach to Generalized Vorob'ev-Yablonski Polynomials and Their Roots
Balogh, F., Bertola, M. & Bothner, T., 10 Mar 2016, (E-pub ahead of print) In: Constructive Approximation. 44, p. 417-453 37 p.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile15 Citations (Scopus)90 Downloads (Pure) -
Transition asymptotics for the Painlevé II transcendent
Bothner, T., 16 Dec 2016, (E-pub ahead of print) In: Duke Mathematical Journal. 166, 2, p. 205-324 119 p.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile16 Citations (Scopus)56 Downloads (Pure) -
2015
On the Asymptotic Behavior of a Log Gas in the Bulk Scaling Limit in the Presence of a Varying External Potential I
Bothner, T., Deift, P., Its, A. & Krasovsky, I., 10 Apr 2015, In: Communications in Mathematical Physics. 337, p. 1397-1463 67 p.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile32 Citations (Scopus)68 Downloads (Pure) -
2014
Asymptotics of a Fredholm Determinant Corresponding to the First Bulk Critical Universality Class in Random Matrix Models
Bothner, T. & Its, A., 11 Mar 2014, (E-pub ahead of print) In: Communications in Mathematical Physics. p. 155-202Research output: Contribution to journal › Article (Academic Journal) › peer-review
10 Citations (Scopus) -
Zeros of Large Degree Vorob'ev-Yablonski Polynomials via a Hankel Determinant Identity
Bertola, M. & Bothner, T., 1 Dec 2014, In: International Mathematics Research Notices. 2015, 19, p. 9330–9399 70 p.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile25 Citations (Scopus)52 Downloads (Pure)