Edit Profile (opens in new tab) Bothner, Thomas Compute Distance To: Compute Author ID: bothner.thomas Published as: Bothner, Thomas Documents Indexed: 22 Publications since 2012 Co-Authors: 13 Co-Authors with 18 Joint Publications 273 Co-Co-Authors all top 5 Co-Authors 4 single-authored 7 Its, Alexander Rudolfovich 3 Bertola, Marco 3 Deift, Percy A. 3 Krasovsky, Igor V. 2 Bleher, Pavel M. 2 Miller, Peter D. 1 Baik, Jinho 1 Balogh, Ferenc N. 1 Buckingham, Robert J. 1 Liechty, Karl 1 Prokhorov, Andrei 1 Sheng, Yue 1 Warner, William H. all top 5 Serials 4 Communications in Mathematical Physics 2 Nonlinearity 2 Constructive Approximation 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Advances in Mathematics 1 Duke Mathematical Journal 1 Studies in Applied Mathematics 1 Physica D 1 The Annals of Applied Probability 1 IMRN. International Mathematics Research Notices 1 St. Petersburg Mathematical Journal 1 Mathematical Physics, Analysis and Geometry 1 Journal of Physics A: Mathematical and Theoretical 1 Random Matrices: Theory and Applications 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) all top 5 Fields 11 Ordinary differential equations (34-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 8 Probability theory and stochastic processes (60-XX) 7 Special functions (33-XX) 4 Integral equations (45-XX) 3 Partial differential equations (35-XX) 3 Mechanics of particles and systems (70-XX) 2 Operator theory (47-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 132 times in 83 Documents Cited by ▼ Year ▼ On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. I. Zbl 1321.82027Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 15 2015 Zeros of large degree Vorobév-Yablonski polynomials via a Hankel determinant identity. Zbl 1328.35196Bertola, Marco; Bothner, Thomas 14 2015 Large deformations of the Tracy-Widom distribution. I: Non-oscillatory asymptotics. Zbl 1407.60005Bothner, Thomas; Buckingham, Robert 13 2018 Universality conjecture and results for a model of several coupled positive-definite matrices. Zbl 1318.15018Bertola, Marco; Bothner, Thomas 12 2015 Transition asymptotics for the Painlevé II transcendent. Zbl 1369.34107Bothner, Thomas 9 2017 The nonlinear steepest descent approach to the singular asymptotics of the second Painlevé transcendent. Zbl 1266.34142Bothner, Thomas; Its, Alexander 8 2012 Hankel determinant approach to generalized Vorob’ev-Yablonski polynomials and their roots. Zbl 1376.34073Balogh, Ferenc; Bertola, Marco; Bothner, Thomas 7 2016 From gap probabilities in random matrix theory to eigenvalue expansions. Zbl 1342.60007Bothner, Thomas 7 2016 On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. II. Zbl 1382.82014Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 7 2017 On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo-Miwa-Ueno differential. Zbl 1447.60038Bothner, Thomas; Its, Alexander; Prokhorov, Andrei 6 2019 Asymptotics of a Fredholm determinant corresponding to the first bulk critical universality class in random matrix models. Zbl 1290.15004Bothner, Thomas; Its, Alexander 5 2014 Tail decay for the distribution of the endpoint of a directed polymer. Zbl 1268.82045Bothner, Thomas; Liechty, Karl 5 2013 Exact solution of the six-vertex model with domain wall boundary conditions: critical line between disordered and antiferroelectric phases. Zbl 1266.82026Bleher, Pavel; Bothner, Thomas 4 2012 Rational solutions of the Painlevé-III equation. Zbl 1414.34070Bothner, Thomas; Miller, Peter D.; Sheng, Yue 4 2018 The sine process under the influence of a varying potential. Zbl 1404.60010Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 3 2018 Rational solutions of the Painlevé-III equation: large parameter asymptotics. Zbl 1435.34093Bothner, Thomas; Miller, Peter D. 3 2020 On the origins of Riemann-Hilbert problems in mathematics. Zbl 1462.30070Bothner, Thomas 3 2021 Calculation of the constant factor in the six-vertex model. Zbl 1432.82009Bleher, Pavel; Bothner, Thomas 2 2014 The largest real eigenvalue in the real Ginibre ensemble and its relation to the Zakharov-Shabat system. Zbl 1434.60018Baik, Jinho; Bothner, Thomas 2 2020 A short note on the scaling function constant problem in the two-dimensional Ising model. Zbl 1388.82006Bothner, Thomas 2 2018 Asymptotics of a cubic sine kernel determinant. Zbl 1318.82015Bothner, Thomas; Its, Alexander Rudol’fovich 1 2015 On the origins of Riemann-Hilbert problems in mathematics. Zbl 1462.30070Bothner, Thomas 3 2021 Rational solutions of the Painlevé-III equation: large parameter asymptotics. Zbl 1435.34093Bothner, Thomas; Miller, Peter D. 3 2020 The largest real eigenvalue in the real Ginibre ensemble and its relation to the Zakharov-Shabat system. Zbl 1434.60018Baik, Jinho; Bothner, Thomas 2 2020 On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo-Miwa-Ueno differential. Zbl 1447.60038Bothner, Thomas; Its, Alexander; Prokhorov, Andrei 6 2019 Large deformations of the Tracy-Widom distribution. I: Non-oscillatory asymptotics. Zbl 1407.60005Bothner, Thomas; Buckingham, Robert 13 2018 Rational solutions of the Painlevé-III equation. Zbl 1414.34070Bothner, Thomas; Miller, Peter D.; Sheng, Yue 4 2018 The sine process under the influence of a varying potential. Zbl 1404.60010Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 3 2018 A short note on the scaling function constant problem in the two-dimensional Ising model. Zbl 1388.82006Bothner, Thomas 2 2018 Transition asymptotics for the Painlevé II transcendent. Zbl 1369.34107Bothner, Thomas 9 2017 On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. II. Zbl 1382.82014Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 7 2017 Hankel determinant approach to generalized Vorob’ev-Yablonski polynomials and their roots. Zbl 1376.34073Balogh, Ferenc; Bertola, Marco; Bothner, Thomas 7 2016 From gap probabilities in random matrix theory to eigenvalue expansions. Zbl 1342.60007Bothner, Thomas 7 2016 On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential. I. Zbl 1321.82027Bothner, Thomas; Deift, Percy; Its, Alexander; Krasovsky, Igor 15 2015 Zeros of large degree Vorobév-Yablonski polynomials via a Hankel determinant identity. Zbl 1328.35196Bertola, Marco; Bothner, Thomas 14 2015 Universality conjecture and results for a model of several coupled positive-definite matrices. Zbl 1318.15018Bertola, Marco; Bothner, Thomas 12 2015 Asymptotics of a cubic sine kernel determinant. Zbl 1318.82015Bothner, Thomas; Its, Alexander Rudol’fovich 1 2015 Asymptotics of a Fredholm determinant corresponding to the first bulk critical universality class in random matrix models. Zbl 1290.15004Bothner, Thomas; Its, Alexander 5 2014 Calculation of the constant factor in the six-vertex model. Zbl 1432.82009Bleher, Pavel; Bothner, Thomas 2 2014 Tail decay for the distribution of the endpoint of a directed polymer. Zbl 1268.82045Bothner, Thomas; Liechty, Karl 5 2013 The nonlinear steepest descent approach to the singular asymptotics of the second Painlevé transcendent. Zbl 1266.34142Bothner, Thomas; Its, Alexander 8 2012 Exact solution of the six-vertex model with domain wall boundary conditions: critical line between disordered and antiferroelectric phases. Zbl 1266.82026Bleher, Pavel; Bothner, Thomas 4 2012 all cited Publications top 5 cited Publications all top 5 Cited by 91 Authors 12 Bothner, Thomas 7 Its, Alexander Rudolfovich 6 Charlier, Christophe 6 Xu, Shuaixia 5 Claeys, Tom 5 Zhang, Lun 4 Buckingham, Robert J. 4 Dai, Dan 4 Deaño, Alfredo 4 Silva, Guilherme L. F. 3 Akemann, Gernot 3 Deift, Percy A. 3 Liechty, Karl 3 Martínez-Finkelshtein, Andrei 3 Miller, Peter D. 3 Molag, Leslie D. 3 Strahov, Eugene 2 Baik, Jinho 2 Bertola, Marco 2 Bleher, Pavel M. 2 Clarkson, Peter A. 2 Corwin, Ivan Z. 2 Desiraju, Harini 2 Forrester, Peter J. 2 Krasovsky, Igor V. 2 Kuijlaars, Arno B. J. 2 Masoero, Davide 2 Prokhorov, Andrei 2 Remenik, Daniel 2 Roffelsen, Pieter 2 Zhao, Yuqiu 1 Balogh, Ferenc N. 1 Bates, Erik 1 Berggren, Tomas 1 Bilman, Deniz 1 Bogatskiy, A. 1 Bonneux, Niels 1 Borodin, Alexei 1 Cafasso, Mattia 1 Celsus, Andrew F. 1 Chatterjee, Sourav 1 Cotti, Giordano 1 Delgado, Julio 1 Dong, Jieyang 1 Duits, Maurice 1 FitzGerald, Will 1 Gharakhloo, Roozbeh 1 Ghosal, Promit 1 Hu, Weiying 1 Kim, Yujin H. 1 Kitaev, Alexander V. 1 Lagarias, Jeffrey C. 1 Lambert, Gaultier 1 Lenells, Jonatan 1 Ling, Liming 1 Lisovyy, Oleg 1 Little, Alex 1 Liu, Dangzheng 1 Liu, Zhipeng 1 López Lagomasino, Guillermo Tomás 1 Maes, Christian 1 Mauersberger, Julian 1 Mezzadri, Francesco 1 Minakov, Alexander 1 Nagoya, Hajime 1 Peralta, S. Medina 1 Pronko, Andrei G. 1 Quastel, Jeremy 1 Rakhmanov, Evgenij Andreevich 1 Reshetikhin, Nikolai Yu. 1 Rodgers, Brad 1 Rogers, Colin 1 Román, Pablo Manuel 1 Roussillon, Julien 1 Ruzhansky, Michael V. 1 Ruzza, Giulio 1 Shapiro, Boris Zalmanovich 1 Sheng, Yue 1 Simm, Nick 1 Szmigielski, Jacek 1 Tater, Miloš 1 Thiery, Thimothée 1 Tribe, Roger P. 1 Trinh, Allan K. 1 Wang, Baoxiang 1 Wang, Dengshan 1 Warner, William H. 1 Xia, Jun 1 Yang, Jianke 1 Zaboronski, Oleg V. 1 Zhang, Xiaoen all top 5 Cited in 29 Serials 12 Communications in Mathematical Physics 8 Nonlinearity 8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Journal of Mathematical Physics 5 Advances in Mathematics 4 Journal of Statistical Physics 4 Constructive Approximation 3 Journal of Differential Equations 3 Physica D 3 Mathematical Physics, Analysis and Geometry 3 Analysis and Mathematical Physics 2 Journal of Approximation Theory 2 Journal of Functional Analysis 2 The Annals of Applied Probability 2 Electronic Journal of Probability 1 Letters in Mathematical Physics 1 Reviews in Mathematical Physics 1 The Annals of Probability 1 Duke Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Probability Theory and Related Fields 1 SIAM Journal on Mathematical Analysis 1 Stochastic Processes and their Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 St. Petersburg Mathematical Journal 1 Annales Henri Poincaré 1 Foundations of Computational Mathematics 1 Random Matrices: Theory and Applications 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) all top 5 Cited in 29 Fields 38 Probability theory and stochastic processes (60-XX) 31 Ordinary differential equations (34-XX) 27 Special functions (33-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 19 Partial differential equations (35-XX) 17 Functions of a complex variable (30-XX) 17 Statistical mechanics, structure of matter (82-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Integral equations (45-XX) 5 Approximations and expansions (41-XX) 5 Operator theory (47-XX) 4 Mechanics of particles and systems (70-XX) 4 Quantum theory (81-XX) 2 Potential theory (31-XX) 2 Statistics (62-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year