## Buckingham, Robert J.

Compute Distance To:
 Author ID: buckingham.robert-j Published as: Buckingham, Robert; Buckingham, Robert J.; Buckingham, R.; Buckingham, R. J. more...less External Links: MGP
 Documents Indexed: 23 Publications since 2003, including 1 Book Co-Authors: 27 Co-Authors with 21 Joint Publications 774 Co-Co-Authors
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### Co-Authors

 2 single-authored 7 Miller, Peter D. 2 Baik, Jinho 2 Bertola, Marco 2 Bilman, Deniz 2 DiFranco, Jeffery C. 2 Its, Alexander Rudolfovich 2 Lee, Seung-Yeop 2 Liechty, Karl 2 Pierce, Virgil U. 2 Venakides, Stephanos 1 Basor, Estelle L. 1 Bertozzi, Andrea Louise 1 Bleher, Pavel M. 1 Bothner, Thomas 1 Grava, Tamara 1 Gremaud, Pierre-Alain 1 Hauck, Cory D. 1 Its, Elizabeth N. 1 Jenkins, Rhonald M. 1 Keating, Jonathan Peter 1 Kuster, Christopher M. 1 Prodanović, Maša 1 Royal, T. A. 1 Shearer, Michael 1 Tovbis, Alexander 1 Wang, Dengshan 1 Zhou, Xin
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### Serials

 4 Nonlinearity 3 Communications in Mathematical Physics 2 Journal d’Analyse Mathématique 2 Journal of Statistical Physics 1 Communications on Pure and Applied Mathematics 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Mathematics and Computers in Simulation 1 Memoirs of the American Mathematical Society 1 Physica D 1 Probability Theory and Related Fields 1 IMRN. International Mathematics Research Notices 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science
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### Fields

 17 Partial differential equations (35-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Ordinary differential equations (34-XX) 5 Special functions (33-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Probability theory and stochastic processes (60-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

21 Publications have been cited 267 times in 201 Documents Cited by Year
Asymptotics of Tracy-Widom distributions and the total integral of a Painlevé II function. Zbl 1221.33032
Baik, Jinho; Buckingham, Robert; DiFranco, Jeffery
2008
Long-time asymptotics of the nonlinear Schrödinger equation shock problem. Zbl 1125.35089
Buckingham, Robert; Venakides, Stephanos
2007
Large-degree asymptotics of rational Painlevé-II functions: noncritical behaviour. Zbl 1316.34095
Buckingham, Robert J.; Miller, Peter D.
2014
Exact solutions of semiclassical non-characteristic Cauchy problems for the sine-Gordon equation. Zbl 1151.35082
Buckingham, Robert; Miller, Peter D.
2008
Thin film traveling waves and the Navier slip condition. Zbl 1024.35038
Buckingham, Robert; Shearer, Michael; Bertozzi, Andrea
2003
The sine-Gordon equation in the semiclassical limit: critical behavior near a separatrix. Zbl 1307.35255
Buckingham, Robert J.; Miller, Peter D.
2012
Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation. Zbl 1428.35485
Bilman, Deniz; Buckingham, Robert
2019
Large-degree asymptotics of rational Painlevé-II functions: critical behaviour. Zbl 1325.30034
Buckingham, Robert J.; Miller, Peter D.
2015
Large deformations of the Tracy-Widom distribution. I: Non-oscillatory asymptotics. Zbl 1407.60005
Bothner, Thomas; Buckingham, Robert
2018
Total integrals of global solutions to Painlevé II. Zbl 1179.33036
Baik, Jinho; Buckingham, Robert; Difranco, Jeffery; Its, Alexander
2009
The sine-Gordon equation in the semiclassical limit: dynamics of fluxon condensates. Zbl 1312.35147
Buckingham, Robert J.; Miller, Peter D.
2013
Spectra of random Hermitian matrices with a small-rank external source: the critical and near-critical regimes. Zbl 1241.82035
Bertola, M.; Buckingham, R.; Lee, S. Y.; Pierce, V.
2012
Spectra of random Hermitian matrices with a small-rank external source: the supercritical and subcritical regimes. Zbl 1302.82049
Bertola, M.; Buckingham, R.; Lee, S. Y.; Pierce, V.
2013
Large-degree asymptotics of rational Painlevé-IV functions associated to generalized Hermite polynomials. Zbl 1458.35137
Buckingham, Robert
2020
Far-field asymptotics for multiple-pole solitons in the large-order limit. Zbl 1473.35497
Bilman, Deniz; Buckingham, Robert; Wang, Deng-Shan
2021
A representation of joint moments of CUE characteristic polynomials in terms of Painlevé functions. Zbl 1423.60014
Basor, Estelle; Bleher, Pavel; Buckingham, Robert; Grava, Tamara; Its, Alexander; Its, Elizabeth; Keating, Jonathan P.
2019
Semiclassical soliton ensembles for the three-wave resonant interaction equations. Zbl 1377.35222
Buckingham, R. J.; Jenkins, R. M.; Miller, P. D.
2017
The semiclassical focusing nonlinear Schrödinger equation. Zbl 1142.35083
Buckingham, Robert; Tovbis, Alexander; Venakides, Stephanos; Zhou, Xin
2007
Nonintersecting Brownian bridges on the unit circle with drift. Zbl 1442.60080
Buckingham, Robert; Liechty, Karl
2019
Corrigenda to “The sine-Gordon equation in the semiclassical limit: critical behavior near a separatrix”. Zbl 1307.35254
Buckingham, Robert J.; Miller, Peter D.
2013
Semiclassical spectral confinement for the sine-Gordon equation. Zbl 1250.65119
Buckingham, Robert
2012
Far-field asymptotics for multiple-pole solitons in the large-order limit. Zbl 1473.35497
Bilman, Deniz; Buckingham, Robert; Wang, Deng-Shan
2021
Large-degree asymptotics of rational Painlevé-IV functions associated to generalized Hermite polynomials. Zbl 1458.35137
Buckingham, Robert
2020
Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation. Zbl 1428.35485
Bilman, Deniz; Buckingham, Robert
2019
A representation of joint moments of CUE characteristic polynomials in terms of Painlevé functions. Zbl 1423.60014
Basor, Estelle; Bleher, Pavel; Buckingham, Robert; Grava, Tamara; Its, Alexander; Its, Elizabeth; Keating, Jonathan P.
2019
Nonintersecting Brownian bridges on the unit circle with drift. Zbl 1442.60080
Buckingham, Robert; Liechty, Karl
2019
Large deformations of the Tracy-Widom distribution. I: Non-oscillatory asymptotics. Zbl 1407.60005
Bothner, Thomas; Buckingham, Robert
2018
Semiclassical soliton ensembles for the three-wave resonant interaction equations. Zbl 1377.35222
Buckingham, R. J.; Jenkins, R. M.; Miller, P. D.
2017
Large-degree asymptotics of rational Painlevé-II functions: critical behaviour. Zbl 1325.30034
Buckingham, Robert J.; Miller, Peter D.
2015
Large-degree asymptotics of rational Painlevé-II functions: noncritical behaviour. Zbl 1316.34095
Buckingham, Robert J.; Miller, Peter D.
2014
The sine-Gordon equation in the semiclassical limit: dynamics of fluxon condensates. Zbl 1312.35147
Buckingham, Robert J.; Miller, Peter D.
2013
Spectra of random Hermitian matrices with a small-rank external source: the supercritical and subcritical regimes. Zbl 1302.82049
Bertola, M.; Buckingham, R.; Lee, S. Y.; Pierce, V.
2013
Corrigenda to “The sine-Gordon equation in the semiclassical limit: critical behavior near a separatrix”. Zbl 1307.35254
Buckingham, Robert J.; Miller, Peter D.
2013
The sine-Gordon equation in the semiclassical limit: critical behavior near a separatrix. Zbl 1307.35255
Buckingham, Robert J.; Miller, Peter D.
2012
Spectra of random Hermitian matrices with a small-rank external source: the critical and near-critical regimes. Zbl 1241.82035
Bertola, M.; Buckingham, R.; Lee, S. Y.; Pierce, V.
2012
Semiclassical spectral confinement for the sine-Gordon equation. Zbl 1250.65119
Buckingham, Robert
2012
Total integrals of global solutions to Painlevé II. Zbl 1179.33036
Baik, Jinho; Buckingham, Robert; Difranco, Jeffery; Its, Alexander
2009
Asymptotics of Tracy-Widom distributions and the total integral of a Painlevé II function. Zbl 1221.33032
Baik, Jinho; Buckingham, Robert; DiFranco, Jeffery
2008
Exact solutions of semiclassical non-characteristic Cauchy problems for the sine-Gordon equation. Zbl 1151.35082
Buckingham, Robert; Miller, Peter D.
2008
Long-time asymptotics of the nonlinear Schrödinger equation shock problem. Zbl 1125.35089
Buckingham, Robert; Venakides, Stephanos
2007
The semiclassical focusing nonlinear Schrödinger equation. Zbl 1142.35083
Buckingham, Robert; Tovbis, Alexander; Venakides, Stephanos; Zhou, Xin
2007
Thin film traveling waves and the Navier slip condition. Zbl 1024.35038
Buckingham, Robert; Shearer, Michael; Bertozzi, Andrea
2003
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### Cited by 237 Authors

 13 Miller, Peter D. 12 Buckingham, Robert J. 12 Its, Alexander Rudolfovich 10 Guo, Boling 9 Bothner, Thomas 8 Liu, Nan 7 Claeys, Tom 7 Shepelsky, Dmitry 6 Grava, Tamara 6 Ling, Liming 5 Bertola, Marco 5 Charlier, Christophe 5 Fan, Engui 5 Kotlyarov, Vladimir P. 5 Lenells, Jonatan 5 Minakov, Alexander 5 Quastel, Jeremy 5 Remenik, Daniel 5 Wang, Dengshan 4 Baik, Jinho 4 Bilman, Deniz 4 Biondini, Gino 4 Boutet de Monvel, Anne Marie 4 Dai, Dan 4 Momoniat, Ebrahim 4 Pelinovsky, Dmitry Efimovich 4 Rybalko, Yan 4 Xu, Shuaixia 4 Zahabi, Ali 3 Deaño, Alfredo 3 Deift, Percy A. 3 Klein, Christian 3 Krasovsky, Igor V. 3 Li, Sitai 3 Mantzavinos, Dionyssios 3 Plaza, Ramón G. 3 Prinari, Barbara 3 Prokhorov, Andrei 3 Roffelsen, Pieter 3 Schehr, Grégory 3 Wang, Dong 3 Zhang, Lun 2 Chen, Jinbing 2 Clarkson, Peter A. 2 Corwin, Ivan Z. 2 de Laire, André 2 Demontis, Francesco 2 Dubrovin, Boris Anatol’evich 2 Dunst, Kamil 2 Fang, Ming 2 Feng, Baofeng 2 Ferrari, Patrik Lino 2 Forrester, Peter J. 2 Gilbert, Robert Pertsch 2 Jones, Christopher K. R. T. 2 Kimura, Taro 2 King, John Robert 2 Kokocki, Piotr 2 Kriecherbauer, Thomas 2 Lee, Seung-Yeop 2 Liechty, Karl 2 Lisovyy, Oleg 2 Marangell, Robert 2 Martin-Vergara, Francisca 2 Masoero, Davide 2 McLaughlin, Kenneth D. T.-R. 2 Pierce, Virgil U. 2 Rus, Francisco 2 Silva, Guilherme L. F. 2 Singh, Neelima 2 Tierz, Miguel 2 Venker, Martin 2 Villatoro, Francisco R. 2 White, Robert E. 2 Yang, Jianke 2 Zhang, Xiaoen 1 Ammari, Habib M. 1 Angulo Pava, Jaime 1 Ares, Filiberto 1 Assiotis, Theodoros 1 Aydagulov, Rustem R. 1 Bailey, E. C. 1 Balogh, Ferenc N. 1 Bao, Zhigang 1 Barraquand, Guillaume 1 Blackstone, Elliot J. 1 Bleher, Pavel M. 1 Bogatskiy, A. 1 Bonneux, Niels 1 Borghese, Michael 1 Borot, Gaëtan 1 Bronski, Jared C. 1 Cafasso, Mattia 1 Chen, Guiying 1 Chen, Shuyan 1 Chen, Yang 1 Chen, Yiren 1 Chen, Yong 1 Cheng, Qiaoyuan 1 Cuccagna, Scipio ...and 137 more Authors
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### Cited in 78 Serials

 21 Communications in Mathematical Physics 19 Physica D 12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 11 Journal of Mathematical Physics 8 Journal of Statistical Physics 8 Journal of Differential Equations 6 Mathematical Physics, Analysis and Geometry 5 Advances in Mathematics 5 Journal of Nonlinear Science 4 Communications on Pure and Applied Mathematics 4 Nonlinearity 4 Duke Mathematical Journal 4 Probability Theory and Related Fields 3 Journal of Mathematical Analysis and Applications 3 Journal of Statistical Mechanics: Theory and Experiment 3 Random Matrices: Theory and Applications 2 Journal d’Analyse Mathématique 2 Journal of Engineering Mathematics 2 Letters in Mathematical Physics 2 Nuclear Physics. B 2 Studies in Applied Mathematics 2 Statistics & Probability Letters 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Constructive Approximation 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 SIAM Journal on Mathematical Analysis 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Physics of Fluids 2 Nonlinear Dynamics 2 Journal of High Energy Physics 2 Journal of Nonlinear Mathematical Physics 2 Analysis and Mathematical Physics 1 Acta Mechanica 1 Computers & Mathematics with Applications 1 International Journal for Numerical Methods in Fluids 1 Inverse Problems 1 Journal of Fluid Mechanics 1 Physics Reports 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 The Annals of Probability 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Mathematics and Computers in Simulation 1 Meccanica 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Transactions of the American Mathematical Society 1 Journal of the American Mathematical Society 1 European Journal of Applied Mathematics 1 The Annals of Applied Probability 1 Communications in Partial Differential Equations 1 SIAM Review 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Mathematical Sciences (New York) 1 Electronic Communications in Probability 1 Abstract and Applied Analysis 1 European Journal of Mechanics. B. Fluids 1 Communications in Nonlinear Science and Numerical Simulation 1 Physical Review Letters 1 Nonlinear Analysis. Real World Applications 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Analysis and Applications (Singapore) 1 Boundary Value Problems 1 Waves in Random and Complex Media 1 Journal of Mathematical Physics, Analysis, Geometry 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 S$$\vec{\text{e}}$$MA Journal 1 Forum of Mathematics, Pi 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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### Cited in 27 Fields

 110 Partial differential equations (35-XX) 54 Dynamical systems and ergodic theory (37-XX) 54 Probability theory and stochastic processes (60-XX) 40 Ordinary differential equations (34-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 30 Statistical mechanics, structure of matter (82-XX) 26 Special functions (33-XX) 21 Fluid mechanics (76-XX) 14 Quantum theory (81-XX) 13 Approximations and expansions (41-XX) 12 Numerical analysis (65-XX) 8 Functions of a complex variable (30-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Integral equations (45-XX) 5 Operator theory (47-XX) 4 Statistics (62-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 3 Optics, electromagnetic theory (78-XX) 2 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Difference and functional equations (39-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)