Edit Profile Buckingham, Robert J. Compute Distance To: Compute Author ID: buckingham.robert-j Published as: Buckingham, R.; Buckingham, R. J.; Buckingham, Robert; Buckingham, Robert J. External Links: MGP Documents Indexed: 22 Publications since 2003, including 1 Book all top 5 Co-Authors 2 single-authored 7 Miller, Peter D. 2 Baik, Jinho 2 Bertola, Marco 2 DiFranco, Jeffery C. 2 Its, Alexander Rudolfovich 2 Lee, Seung-Yeop 2 Liechty, Karl 2 Pierce, Virgil U. 2 Venakides, Stephanos 1 Ahmed, Syed Afrozuddin 1 Basor, Estelle L. 1 Bertozzi, Andrea Louise 1 Bilman, Deniz 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 P. 1 Kuster, Christopher M. 1 Prodanović, Maša 1 Royal, T. A. 1 Shearer, Michael 1 Silantyev, Valentin 1 Tovbis, Alexander 1 Zhou, Xin all top 5 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 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 all top 5 Fields 16 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 Probability theory and stochastic processes (60-XX) 3 Dynamical systems and ergodic theory (37-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 210 times in 156 Documents Cited by ▼ Year ▼ Asymptotics of Tracy-Widom distributions and the total integral of a Painlevé II function. Zbl 1221.33032Baik, Jinho; Buckingham, Robert; DiFranco, Jeffery 41 2008 Long-time asymptotics of the nonlinear Schrödinger equation shock problem. Zbl 1125.35089Buckingham, Robert; Venakides, Stephanos 34 2007 Exact solutions of semiclassical non-characteristic Cauchy problems for the sine-Gordon equation. Zbl 1151.35082Buckingham, Robert; Miller, Peter D. 17 2008 Thin film traveling waves and the Navier slip condition. Zbl 1024.35038Buckingham, Robert; Shearer, Michael; Bertozzi, Andrea 16 2003 Large-degree asymptotics of rational Painlevé-II functions: noncritical behaviour. Zbl 1316.34095Buckingham, Robert J.; Miller, Peter D. 15 2014 The sine-Gordon equation in the semiclassical limit: critical behavior near a separatrix. Zbl 1307.35255Buckingham, Robert J.; Miller, Peter D. 14 2012 Large-degree asymptotics of rational Painlevé-II functions: critical behaviour. Zbl 1325.30034Buckingham, Robert J.; Miller, Peter D. 12 2015 Large deformations of the Tracy-Widom distribution. I: Non-oscillatory asymptotics. Zbl 1407.60005Bothner, Thomas; Buckingham, Robert 10 2018 The sine-Gordon equation in the semiclassical limit: dynamics of fluxon condensates. Zbl 1312.35147Buckingham, Robert J.; Miller, Peter D. 9 2013 Total integrals of global solutions to Painlevé II. Zbl 1179.33036Baik, Jinho; Buckingham, Robert; Difranco, Jeffery; Its, Alexander 8 2009 Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation. Zbl 1428.35485Bilman, Deniz; Buckingham, Robert 7 2019 Spectra of random Hermitian matrices with a small-rank external source: the supercritical and subcritical regimes. Zbl 1302.82049Bertola, M.; Buckingham, R.; Lee, S. Y.; Pierce, V. 7 2013 Spectra of random Hermitian matrices with a small-rank external source: the critical and near-critical regimes. Zbl 1241.82035Bertola, M.; Buckingham, R.; Lee, S. Y.; Pierce, V. 7 2012 Large-degree asymptotics of rational Painlevé-IV functions associated to generalized Hermite polynomials. Zbl 1458.35137Buckingham, Robert 3 2020 A representation of joint moments of CUE characteristic polynomials in terms of Painlevé functions. Zbl 1423.60014Basor, Estelle; Bleher, Pavel; Buckingham, Robert; Grava, Tamara; Its, Alexander; Its, Elizabeth; Keating, Jonathan P. 3 2019 Semiclassical soliton ensembles for the three-wave resonant interaction equations. Zbl 1377.35222Buckingham, R. J.; Jenkins, R. M.; Miller, P. D. 3 2017 Nonintersecting Brownian bridges on the unit circle with drift. Zbl 1442.60080Buckingham, Robert; Liechty, Karl 1 2019 Corrigenda to “The sine-Gordon equation in the semiclassical limit: critical behavior near a separatrix”. Zbl 1307.35254Buckingham, Robert J.; Miller, Peter D. 1 2013 Semiclassical spectral confinement for the sine-Gordon equation. Zbl 1250.65119Buckingham, Robert 1 2012 The semiclassical focusing nonlinear Schrödinger equation. Zbl 1142.35083Buckingham, Robert; Tovbis, Alexander; Venakides, Stephanos; Zhou, Xin 1 2007 Large-degree asymptotics of rational Painlevé-IV functions associated to generalized Hermite polynomials. Zbl 1458.35137Buckingham, Robert 3 2020 Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation. Zbl 1428.35485Bilman, Deniz; Buckingham, Robert 7 2019 A representation of joint moments of CUE characteristic polynomials in terms of Painlevé functions. Zbl 1423.60014Basor, Estelle; Bleher, Pavel; Buckingham, Robert; Grava, Tamara; Its, Alexander; Its, Elizabeth; Keating, Jonathan P. 3 2019 Nonintersecting Brownian bridges on the unit circle with drift. Zbl 1442.60080Buckingham, Robert; Liechty, Karl 1 2019 Large deformations of the Tracy-Widom distribution. I: Non-oscillatory asymptotics. Zbl 1407.60005Bothner, Thomas; Buckingham, Robert 10 2018 Semiclassical soliton ensembles for the three-wave resonant interaction equations. Zbl 1377.35222Buckingham, R. J.; Jenkins, R. M.; Miller, P. D. 3 2017 Large-degree asymptotics of rational Painlevé-II functions: critical behaviour. Zbl 1325.30034Buckingham, Robert J.; Miller, Peter D. 12 2015 Large-degree asymptotics of rational Painlevé-II functions: noncritical behaviour. Zbl 1316.34095Buckingham, Robert J.; Miller, Peter D. 15 2014 The sine-Gordon equation in the semiclassical limit: dynamics of fluxon condensates. Zbl 1312.35147Buckingham, Robert J.; Miller, Peter D. 9 2013 Spectra of random Hermitian matrices with a small-rank external source: the supercritical and subcritical regimes. Zbl 1302.82049Bertola, M.; Buckingham, R.; Lee, S. Y.; Pierce, V. 7 2013 Corrigenda to “The sine-Gordon equation in the semiclassical limit: critical behavior near a separatrix”. Zbl 1307.35254Buckingham, Robert J.; Miller, Peter D. 1 2013 The sine-Gordon equation in the semiclassical limit: critical behavior near a separatrix. Zbl 1307.35255Buckingham, Robert J.; Miller, Peter D. 14 2012 Spectra of random Hermitian matrices with a small-rank external source: the critical and near-critical regimes. Zbl 1241.82035Bertola, M.; Buckingham, R.; Lee, S. Y.; Pierce, V. 7 2012 Semiclassical spectral confinement for the sine-Gordon equation. Zbl 1250.65119Buckingham, Robert 1 2012 Total integrals of global solutions to Painlevé II. Zbl 1179.33036Baik, Jinho; Buckingham, Robert; Difranco, Jeffery; Its, Alexander 8 2009 Asymptotics of Tracy-Widom distributions and the total integral of a Painlevé II function. Zbl 1221.33032Baik, Jinho; Buckingham, Robert; DiFranco, Jeffery 41 2008 Exact solutions of semiclassical non-characteristic Cauchy problems for the sine-Gordon equation. Zbl 1151.35082Buckingham, Robert; Miller, Peter D. 17 2008 Long-time asymptotics of the nonlinear Schrödinger equation shock problem. Zbl 1125.35089Buckingham, Robert; Venakides, Stephanos 34 2007 The semiclassical focusing nonlinear Schrödinger equation. Zbl 1142.35083Buckingham, Robert; Tovbis, Alexander; Venakides, Stephanos; Zhou, Xin 1 2007 Thin film traveling waves and the Navier slip condition. Zbl 1024.35038Buckingham, Robert; Shearer, Michael; Bertozzi, Andrea 16 2003 all cited Publications top 5 cited Publications all top 5 Cited by 202 Authors 12 Miller, Peter D. 11 Buckingham, Robert J. 11 Its, Alexander Rudolfovich 9 Bothner, Thomas 8 Guo, Boling 7 Liu, Nan 6 Grava, Tamara 6 Kotlyarov, Vladimir P. 6 Minakov, Alexander 5 Bertola, Marco 5 Claeys, Tom 4 Biondini, Gino 4 Jenkins, Robert J. jun. 4 Momoniat, Ebrahim 4 Quastel, Jeremy 4 Remenik, Daniel 4 Shepelsky, Dmitry 3 Baik, Jinho 3 Boutet de Monvel, Anne Marie 3 Charlier, Christophe 3 Dai, Dan 3 Fan, Engui 3 Klein, Christian 3 Krasovsky, Igor V. 3 Lenells, Jonatan 3 Li, Sitai 3 Mantzavinos, Dionyssios 3 Plaza, Ramón G. 3 Prinari, Barbara 3 Prokhorov, Andrei 3 Roffelsen, Pieter 3 Schehr, Grégory 3 Wang, Dengshan 3 Xu, Shuaixia 3 Zahabi, Ali 2 Bilman, Deniz 2 Clarkson, Peter A. 2 Deift, Percy A. 2 Demontis, Francesco 2 Dubrovin, Boris Anatol’evich 2 Fang, Ming 2 Forrester, Peter J. 2 Gilbert, Robert Pertsch 2 Jones, Christopher K. R. T. 2 King, John Robert 2 Kriecherbauer, Thomas 2 Lee, Seung-Yeop 2 Liechty, Karl 2 Ling, Liming 2 Lisovyy, Oleg 2 Marangell, Robert 2 Martin-Vergara, Francisca 2 Masoero, Davide 2 McLaughlin, Kenneth D. T.-R. 2 Pelinovsky, Dmitry Efimovich 2 Pierce, Virgil U. 2 Rus, Francisco 2 Rybalko, Yan 2 Singh, Neelima 2 Tierz, Miguel 2 Venker, Martin 2 Villatoro, Francisco R. 2 Wang, Dong 2 Zhang, Lun 1 Ammari, Habib M. 1 Angulo Pava, Jaime 1 Ares, Filiberto 1 Aydagulov, Rustem R. 1 Bailey, E. C. 1 Balogh, Ferenc N. 1 Barraquand, Guillaume 1 Bleher, Pavel M. 1 Bogatskiy, A. 1 Bonneux, Niels 1 Borghese, Michael 1 Borot, Gaëtan 1 Bronski, Jared C. 1 Chen, Jinbing 1 Chen, Yong 1 Cheng, Qiaoyuan 1 Corwin, Ivan 1 Cuccagna, Scipio 1 Dai, Chaoqing 1 Davis, Jeffrey M. 1 de Laire, André 1 Deaño, Alfredo 1 Deconinck, Bernard 1 Domínguez-Molina, J. Armando 1 Ehrhardt, Torsten 1 Eichelsbacher, Peter 1 Fagerstrom, Emily 1 Ferrari, Patrik Lino 1 Filipkovska, Maria S. 1 Garnier, Josselin 1 Gharakhloo, Roozbeh 1 Ghosal, Promit 1 Giasemidis, Georgios 1 Girotti, Manuela 1 Gnann, Manuel V. 1 Gómez-Ullate, David ...and 102 more Authors all top 5 Cited in 66 Serials 19 Communications in Mathematical Physics 10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 9 Journal of Mathematical Physics 8 Physica D 7 Journal of Statistical Physics 7 Journal of Differential Equations 4 Communications on Pure and Applied Mathematics 4 Advances in Mathematics 4 Journal of Nonlinear Science 4 Mathematical Physics, Analysis and Geometry 3 Journal of Mathematical Analysis and Applications 3 Nonlinearity 3 Duke Mathematical Journal 3 Probability Theory and Related Fields 3 Journal of Statistical Mechanics: Theory and Experiment 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 Mathematical and Computer Modelling 2 Physics of Fluids 2 Nonlinear Dynamics 2 Journal of Nonlinear Mathematical Physics 2 Random Matrices: Theory and Applications 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 Reviews in Mathematical 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 Applied Mathematics Letters 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 Journal on Mathematical Analysis 1 SIAM Review 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Mathematical Sciences (New York) 1 Abstract and Applied Analysis 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of High Energy Physics 1 Physical Review Letters 1 Nonlinear Analysis. Real World Applications 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Boundary Value Problems 1 Waves in Random and Complex Media 1 Science China. Mathematics 1 Analysis and Mathematical Physics 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) all top 5 Cited in 26 Fields 84 Partial differential equations (35-XX) 42 Probability theory and stochastic processes (60-XX) 35 Dynamical systems and ergodic theory (37-XX) 32 Linear and multilinear algebra; matrix theory (15-XX) 30 Ordinary differential equations (34-XX) 26 Statistical mechanics, structure of matter (82-XX) 21 Special functions (33-XX) 18 Fluid mechanics (76-XX) 11 Numerical analysis (65-XX) 11 Quantum theory (81-XX) 8 Approximations and expansions (41-XX) 5 Operator theory (47-XX) 4 Functions of a complex variable (30-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Mechanics of particles and systems (70-XX) 2 Combinatorics (05-XX) 2 Integral equations (45-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 1 Number theory (11-XX) 1 Difference and functional equations (39-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year