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## McLaughlin, Kenneth D. T.-R.

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 Author ID: mclaughlin.kenneth-d-t-r Published as: McLaughlin, K.; McLaughlin, K. D. T-R.; McLaughlin, K. D. T.-R.; McLaughlin, K. T-R; McLaughlin, K. T. R.; McLaughlin, K. T.-R.; McLaughlin, Ken; McLaughlin, Ken D. T-R; McLaughlin, Ken D. T.-R.; McLaughlin, Kenneth; McLaughlin, Kenneth D. T-R; McLaughlin, Kenneth D. T.-R.; McLaughlin, Kenneth T. R.; McLaughlin, Kenneth T.-R.; Mclaughlin, K. T.-R. Homepage: http://math.arizona.edu/~mcl External Links: MGP
 Documents Indexed: 55 Publications since 1985, including 5 Books
all top 5

#### Co-Authors

 3 single-authored 13 Kriecherbauer, Thomas 11 Zhou, Xin 9 Deift, Percy A. 9 Miller, Peter D. 7 Kuijlaars, Arno B. J. 5 Venakides, Stephanos 4 Baik, Jinho 4 Ercolani, Nicholas M. 4 Vartanian, Arthur H. 3 Jenkins, Robert J. jun. 3 Klein, Christian 2 Forest, M. Gregory 2 Grava, Tamara 2 Martínez-Finkelshtein, Andrei 2 Saff, Edward Barry 1 Assainova, O. 1 Balogh, Ferenc N. 1 Bertola, Marco 1 Borghese, Michael 1 Cai, David 1 Claeys, Tom 1 Dieng, Momar 1 DiFranco, Jeffery C. 1 Kamvissis, Spyridon 1 Kodama, Yuji 1 Lee, Seung-Yeop 1 Li, Luen-Chau 1 Mazzuca, G. 1 McLaughlin, David W. 1 Newport, J. P. 1 Pierce, Virgil U. 1 Stoilov, Nikola M. 1 Tomei, Carlos 1 Van Assche, Walter 1 Vanlessen, Maarten 1 Wright, Otis Clarence III
all top 5

#### Serials

 7 Communications on Pure and Applied Mathematics 6 IMRN. International Mathematics Research Notices 4 Constructive Approximation 3 Communications in Mathematical Physics 3 Physica D 3 IMRP. International Mathematics Research Papers 2 Journal of Computational and Applied Mathematics 2 Annals of Mathematics Studies 2 Contemporary Mathematics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Nonlinearity 1 Physics Letters. A 1 Advances in Mathematics 1 Journal of Approximation Theory 1 Memoirs of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Nonlinear Science 1 Documenta Mathematica 1 Mathematical Physics, Analysis and Geometry 1 Advances in Theoretical and Mathematical Physics 1 Computational Methods and Function Theory
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#### Fields

 23 Harmonic analysis on Euclidean spaces (42-XX) 21 Partial differential equations (35-XX) 20 Functions of a complex variable (30-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Approximations and expansions (41-XX) 12 Special functions (33-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Probability theory and stochastic processes (60-XX) 4 Ordinary differential equations (34-XX) 4 Operator theory (47-XX) 4 Optics, electromagnetic theory (78-XX) 3 Potential theory (31-XX) 3 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Quantum theory (81-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

49 Publications have been cited 1,432 times in 731 Documents Cited by Year
Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory. Zbl 0944.42013
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
1999
Strong asymptotics of orthogonal polynomials with respect to exponential weights. Zbl 1026.42024
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
1999
The Riemann–Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]. Zbl 1082.42017
Kuijlaars, A. B. J.; Mclaughlin, K. T.-R.; Van Assche, W.; Vanlessen, M.
2004
Semiclassical soliton ensembles for the focusing nonlinear Schrödinger equation. Zbl 1057.35063
Kamvissis, Spyridon; McLaughlin, Kenneth D. T-R; Miller, Peter D.
2003
New results on the equilibrium measure for logarithmic potentials in the presence of an external field. Zbl 0918.31001
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.
1998
Discrete orthogonal polynomials. Asymptotics and applications. Zbl 1119.41001
Baik, J.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Miller, P. D.
2007
Asymptotics of the partition function for random matrices via Riemann-Hilbert techniques and applications to graphical enumeration. Zbl 1140.82307
Ercolani, N. M.; McLaughlin, K. D. T.-R.
2003
Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields. Zbl 1022.31001
Kuijlaars, A. B. J.; McLaughlin, K. T.-R.
2000
A continuum limit of Toda lattice. Zbl 0946.37035
Deift, P.; McLaughlin, K. T.-R.
1998
Strong asymptotics of polynomials orthogonal with respect to Freud weights. Zbl 0944.42014
Kriecherbauer, T.; McLaughlin, K. T.-R.
1999
The $$\bar{\partial}$$ steepest descent method for orthogonal polynomials on the real line with varying weights. Zbl 1157.42007
McLaughlin, K. T.-R.; Miller, P. D.
2008
Asymptotic zero behavior of Laguerre polynomials with negative parameter. Zbl 1069.33008
Kuijlaars, A. B. J.; McLaughlin, K. T.-R.
2004
The $$\overline\partial$$ steepest descent method and the asymptotic behavior of polynomials orthogonal on the unit circle with fixed and exponentially varying nonanalytic weights. Zbl 1133.45001
McLaughlin, K. T.-R.; Miller, P. D.
2006
Szegő orthogonal polynomials with respect to an analytic weight: Canonical representation and strong asymptotics. Zbl 1135.42326
Martínez-Finkelshtein, A.; McLaughlin, K. T.-R.; Saff, E. B.
2006
Uniform asymptotics for polynomials orthogonal with respect to a general class of discrete weights and universality results for associated ensembles: Announcement of results. Zbl 1036.42023
Baik, J.; Kriecherbauer, T.; McLaughlin, K. D. T.-R.; Miller, P. D.
2003
Optimal tail estimates for directed last passage site percolation with geometric random variables. Zbl 1016.15022
Baik, Jinho; Deift, Percy; McLaughlin, Kenneth T.-R.; Miller, Peter; Zhou, Xin
2001
Riemann-Hilbert analysis for Laguerre polynomials with large negative parameter. Zbl 1035.30027
Kuijlaars, Arno B. J.; McLaughlin, Kenneth T.-R.
2001
Asymptotics for polynomials orthogonal with respect to varying exponential weights. Zbl 0897.42015
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
1997
A Riemann-Hilbert approach to asymptotic questions for orthogonal polynomials. Zbl 1041.42018
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
2001
Asymptotics and integrable structures for biorthogonal polynomials associated to a random two-matrix model. Zbl 1038.82042
Ercolani, Nicholas M.; McLaughlin, Kenneth T.-R.
2001
Asymptotics of orthogonal polynomials with respect to an analytic weight with algebraic singularities on the circle. Zbl 1135.42325
Martınez-Finkelshtein, A.; McLaughlin, K. T.-R.; Saff, E. B.
2006
A Riemann-Hilbert problem for biorthogonal polynomials. Zbl 1096.42009
Kuijlaars, A. B. J.; McLaughlin, K. T.-R.
2005
Semiclassical limit of focusing NLS for a family of square barrier initial data. Zbl 1332.35327
Jenkins, Robert; McLaughlin, Ken D. T-R
2014
Asymptotic analysis of random matrices with external source and a family of algebraic curves. Zbl 1117.82310
McLaughlin, K. T-R
2007
Long time asymptotic behavior of the focusing nonlinear Schrödinger equation. Zbl 1390.35020
Borghese, Michael; Jenkins, Robert; McLaughlin, Kenneth D. T.-R.
2018
Random matrices, graphical enumeration and the continuum limit of Toda lattices. Zbl 1150.15009
Ercolani, N. M.; McLaughlin, K. D. T-R.; Pierce, V. U.
2008
Explicit integration of the full symmetric Toda hierarchy and the sorting property. Zbl 0853.58062
Kodama, Y.; McLaughlin, K. T.-R.
1996
Strong asymptotics of the orthogonal polynomials with respect to a measure supported on the plane. Zbl 1308.42025
Balogh, Ferenc; Bertola, Marco; Lee, Seung-Yeop; McLaughlin, Kenneth D. T-R
2015
The nonlinear Schrödinger equation as both a PDE and a dynamical system. Zbl 1004.35111
Cai, David; McLaughlin, David W.; McLaughlin, Kenneth T. R.
2002
Onset of oscillations in nonsoliton pulses in nonlinear dispersive fibers. Zbl 0895.35094
Forest, M. G.; McLaughlin, K. T.-R.
1998
Asymptotics for the partition function in two-cut random matrix models. Zbl 1330.15039
Claeys, T.; Grava, T.; McLaughlin, K. D. T.-R.
2015
Locating the zeros of partial sums of $$e^z$$ with Riemann-Hilbert methods. Zbl 1154.30006
Kriecherbauer, T.; Kuijlaars, A. B. J.; McLaughlin, K. D. T.-R.; Miller, P. D.
2008
A nonlinear Gibbs-type phenomenon for the defocusing nonlinear Schrödinger equation. Zbl 1157.35478
DiFranco, Jeffery C.; McLaughlin, Kenneth T.-R.
2005
On the exact solution of the geometric optics approximation of the defocusing nonlinear Schrödinger equation. Zbl 1044.78512
Wright, Otis C.; Forest, M. Gregory; McLaughlin, K. T.-R.
1999
A study of the direct spectral transform for the defocusing Davey-Stewartson II equation the semiclassical limit. Zbl 1420.35339
Assainova, O.; Klein, C.; McLaughlin, K. D. T.-R.; Miller, P. D.
2019
Spectral approach to D-bar problems. Zbl 1381.78003
Klein, Christian; McLaughlin, Kenneth D. T-R
2017
Solutions to the nonlinear Schrödinger equation with sequences of initial data converging to a Dirac mass. Zbl 1211.37086
Newport, J. P.; McLaughlin, K. D. T.-R.
2010
Integrable systems and random matrices. In honor of Percy Deift. Conference on integrable systems, random matrices, and applications in honor of Percy Deift’s 60th birthday, New York, NY, USA, May 22–26, 2006. Zbl 1139.37001
Baik, Jinho (ed.); Kriecherbauer, Thomas (ed.); Li, Luen-Chau (ed.); McLaughlin, Kenneth D. T-R (ed.); Tomei, Carlos (ed.)
2008
Asymptotics of Laurent polynomials of odd degree orthogonal with respect to varying exponential weights. Zbl 1149.42021
McLaughlin, K. T. R.; Vartanian, A. H.; Zhou, X.
2008
Asymptotics of Laurent polynomials of even degree orthogonal with respect to varying exponential weights. Zbl 1112.33010
McLaughlin, K. T.-R.; Vartanian, A. H.; Zhou, X.
2006
Uniform asymptotics for orthogonal polynomials. Zbl 0906.42011
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
1998
Dispersive asymptotics for linear and integrable equations by the $$\overline{\partial}$$ steepest descent method. Zbl 1441.35047
Dieng, Momar; McLaughlin, Kenneth D. T.-R.; Miller, Peter D.
2019
A quick derivation of the loop equations for random matrices. Zbl 1154.83304
Ercolani, N. M.; McLaughlin, K. D. T.-R.
2008
Asymptotics of recurrence relation coefficients, Hankel determinant ratios, and root products associated with Laurent polynomials orthogonal with respect to varying exponential weights. Zbl 1149.42020
McLaughlin, K. T.-R.; Vartanian, A. H.; Zhou, X.
2008
Application of bond graphs to thermofluid processes and systems. Zbl 0579.76109
Shoureshi, R.; McLaughlin, K.
1985
Rational functions with a general distribution of poles on the real line orthogonal with respect to varying exponential weights. I. Zbl 1178.30046
McLaughlin, K. T.-R.; Vartanian, A. H.; Zhou, X.
2008
Recent developments in integrable systems and Riemann-Hilbert problems. Proceedings of the AMS special session, University of Alabama, Birmingham, AL, USA, November 10–12, 2000. Zbl 1015.00021
McLaughlin, Kenneth D. T.-R. (ed.); Zhou, Xin (ed.)
2003
Long time behavior of the continuum limit of the Toda lattice, and the generation of infinitely many gaps from $$C^\infty$$ initial data. Zbl 1007.37033
Kuijlaars, A. B. J.; McLaughlin, K. T.-R.
2001
New results for the asymptotics of orthogonal polynomials and related problems via the Lax-Levermore method. Zbl 0891.31001
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.
1998
A study of the direct spectral transform for the defocusing Davey-Stewartson II equation the semiclassical limit. Zbl 1420.35339
Assainova, O.; Klein, C.; McLaughlin, K. D. T.-R.; Miller, P. D.
2019
Dispersive asymptotics for linear and integrable equations by the $$\overline{\partial}$$ steepest descent method. Zbl 1441.35047
Dieng, Momar; McLaughlin, Kenneth D. T.-R.; Miller, Peter D.
2019
Long time asymptotic behavior of the focusing nonlinear Schrödinger equation. Zbl 1390.35020
Borghese, Michael; Jenkins, Robert; McLaughlin, Kenneth D. T.-R.
2018
Spectral approach to D-bar problems. Zbl 1381.78003
Klein, Christian; McLaughlin, Kenneth D. T-R
2017
Strong asymptotics of the orthogonal polynomials with respect to a measure supported on the plane. Zbl 1308.42025
Balogh, Ferenc; Bertola, Marco; Lee, Seung-Yeop; McLaughlin, Kenneth D. T-R
2015
Asymptotics for the partition function in two-cut random matrix models. Zbl 1330.15039
Claeys, T.; Grava, T.; McLaughlin, K. D. T.-R.
2015
Semiclassical limit of focusing NLS for a family of square barrier initial data. Zbl 1332.35327
Jenkins, Robert; McLaughlin, Ken D. T-R
2014
Solutions to the nonlinear Schrödinger equation with sequences of initial data converging to a Dirac mass. Zbl 1211.37086
Newport, J. P.; McLaughlin, K. D. T.-R.
2010
The $$\bar{\partial}$$ steepest descent method for orthogonal polynomials on the real line with varying weights. Zbl 1157.42007
McLaughlin, K. T.-R.; Miller, P. D.
2008
Random matrices, graphical enumeration and the continuum limit of Toda lattices. Zbl 1150.15009
Ercolani, N. M.; McLaughlin, K. D. T-R.; Pierce, V. U.
2008
Locating the zeros of partial sums of $$e^z$$ with Riemann-Hilbert methods. Zbl 1154.30006
Kriecherbauer, T.; Kuijlaars, A. B. J.; McLaughlin, K. D. T.-R.; Miller, P. D.
2008
Integrable systems and random matrices. In honor of Percy Deift. Conference on integrable systems, random matrices, and applications in honor of Percy Deift’s 60th birthday, New York, NY, USA, May 22–26, 2006. Zbl 1139.37001
Baik, Jinho (ed.); Kriecherbauer, Thomas (ed.); Li, Luen-Chau (ed.); McLaughlin, Kenneth D. T-R (ed.); Tomei, Carlos (ed.)
2008
Asymptotics of Laurent polynomials of odd degree orthogonal with respect to varying exponential weights. Zbl 1149.42021
McLaughlin, K. T. R.; Vartanian, A. H.; Zhou, X.
2008
A quick derivation of the loop equations for random matrices. Zbl 1154.83304
Ercolani, N. M.; McLaughlin, K. D. T.-R.
2008
Asymptotics of recurrence relation coefficients, Hankel determinant ratios, and root products associated with Laurent polynomials orthogonal with respect to varying exponential weights. Zbl 1149.42020
McLaughlin, K. T.-R.; Vartanian, A. H.; Zhou, X.
2008
Rational functions with a general distribution of poles on the real line orthogonal with respect to varying exponential weights. I. Zbl 1178.30046
McLaughlin, K. T.-R.; Vartanian, A. H.; Zhou, X.
2008
Discrete orthogonal polynomials. Asymptotics and applications. Zbl 1119.41001
Baik, J.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Miller, P. D.
2007
Asymptotic analysis of random matrices with external source and a family of algebraic curves. Zbl 1117.82310
McLaughlin, K. T-R
2007
The $$\overline\partial$$ steepest descent method and the asymptotic behavior of polynomials orthogonal on the unit circle with fixed and exponentially varying nonanalytic weights. Zbl 1133.45001
McLaughlin, K. T.-R.; Miller, P. D.
2006
Szegő orthogonal polynomials with respect to an analytic weight: Canonical representation and strong asymptotics. Zbl 1135.42326
Martínez-Finkelshtein, A.; McLaughlin, K. T.-R.; Saff, E. B.
2006
Asymptotics of orthogonal polynomials with respect to an analytic weight with algebraic singularities on the circle. Zbl 1135.42325
Martınez-Finkelshtein, A.; McLaughlin, K. T.-R.; Saff, E. B.
2006
Asymptotics of Laurent polynomials of even degree orthogonal with respect to varying exponential weights. Zbl 1112.33010
McLaughlin, K. T.-R.; Vartanian, A. H.; Zhou, X.
2006
A Riemann-Hilbert problem for biorthogonal polynomials. Zbl 1096.42009
Kuijlaars, A. B. J.; McLaughlin, K. T.-R.
2005
A nonlinear Gibbs-type phenomenon for the defocusing nonlinear Schrödinger equation. Zbl 1157.35478
DiFranco, Jeffery C.; McLaughlin, Kenneth T.-R.
2005
The Riemann–Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]. Zbl 1082.42017
Kuijlaars, A. B. J.; Mclaughlin, K. T.-R.; Van Assche, W.; Vanlessen, M.
2004
Asymptotic zero behavior of Laguerre polynomials with negative parameter. Zbl 1069.33008
Kuijlaars, A. B. J.; McLaughlin, K. T.-R.
2004
Semiclassical soliton ensembles for the focusing nonlinear Schrödinger equation. Zbl 1057.35063
Kamvissis, Spyridon; McLaughlin, Kenneth D. T-R; Miller, Peter D.
2003
Asymptotics of the partition function for random matrices via Riemann-Hilbert techniques and applications to graphical enumeration. Zbl 1140.82307
Ercolani, N. M.; McLaughlin, K. D. T.-R.
2003
Uniform asymptotics for polynomials orthogonal with respect to a general class of discrete weights and universality results for associated ensembles: Announcement of results. Zbl 1036.42023
Baik, J.; Kriecherbauer, T.; McLaughlin, K. D. T.-R.; Miller, P. D.
2003
Recent developments in integrable systems and Riemann-Hilbert problems. Proceedings of the AMS special session, University of Alabama, Birmingham, AL, USA, November 10–12, 2000. Zbl 1015.00021
McLaughlin, Kenneth D. T.-R. (ed.); Zhou, Xin (ed.)
2003
The nonlinear Schrödinger equation as both a PDE and a dynamical system. Zbl 1004.35111
Cai, David; McLaughlin, David W.; McLaughlin, Kenneth T. R.
2002
Optimal tail estimates for directed last passage site percolation with geometric random variables. Zbl 1016.15022
Baik, Jinho; Deift, Percy; McLaughlin, Kenneth T.-R.; Miller, Peter; Zhou, Xin
2001
Riemann-Hilbert analysis for Laguerre polynomials with large negative parameter. Zbl 1035.30027
Kuijlaars, Arno B. J.; McLaughlin, Kenneth T.-R.
2001
A Riemann-Hilbert approach to asymptotic questions for orthogonal polynomials. Zbl 1041.42018
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
2001
Asymptotics and integrable structures for biorthogonal polynomials associated to a random two-matrix model. Zbl 1038.82042
Ercolani, Nicholas M.; McLaughlin, Kenneth T.-R.
2001
Long time behavior of the continuum limit of the Toda lattice, and the generation of infinitely many gaps from $$C^\infty$$ initial data. Zbl 1007.37033
Kuijlaars, A. B. J.; McLaughlin, K. T.-R.
2001
Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields. Zbl 1022.31001
Kuijlaars, A. B. J.; McLaughlin, K. T.-R.
2000
Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory. Zbl 0944.42013
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
1999
Strong asymptotics of orthogonal polynomials with respect to exponential weights. Zbl 1026.42024
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
1999
Strong asymptotics of polynomials orthogonal with respect to Freud weights. Zbl 0944.42014
Kriecherbauer, T.; McLaughlin, K. T.-R.
1999
On the exact solution of the geometric optics approximation of the defocusing nonlinear Schrödinger equation. Zbl 1044.78512
Wright, Otis C.; Forest, M. Gregory; McLaughlin, K. T.-R.
1999
New results on the equilibrium measure for logarithmic potentials in the presence of an external field. Zbl 0918.31001
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.
1998
A continuum limit of Toda lattice. Zbl 0946.37035
Deift, P.; McLaughlin, K. T.-R.
1998
Onset of oscillations in nonsoliton pulses in nonlinear dispersive fibers. Zbl 0895.35094
Forest, M. G.; McLaughlin, K. T.-R.
1998
Uniform asymptotics for orthogonal polynomials. Zbl 0906.42011
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
1998
New results for the asymptotics of orthogonal polynomials and related problems via the Lax-Levermore method. Zbl 0891.31001
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.
1998
Asymptotics for polynomials orthogonal with respect to varying exponential weights. Zbl 0897.42015
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
1997
Explicit integration of the full symmetric Toda hierarchy and the sorting property. Zbl 0853.58062
Kodama, Y.; McLaughlin, K. T.-R.
1996
Application of bond graphs to thermofluid processes and systems. Zbl 0579.76109
Shoureshi, R.; McLaughlin, K.
1985
all top 5

#### Cited by 677 Authors

 40 Kuijlaars, Arno B. J. 29 Lubinsky, Doron S. 28 Bertola, Marco 20 Xu, Shuaixia 19 McLaughlin, Kenneth D. T.-R. 19 Wong, Roderick Sue-Chuen 17 Claeys, Tom 17 Martínez-Finkelshtein, Andrei 16 Erdős, László 16 Its, Alexander Rudolfovich 16 Yau, Horng-Tzer 16 Zhao, Yuqiu 15 Dai, Dan 15 Deift, Percy A. 14 Aptekarev, Alexander Ivanovich 14 Bleher, Pavel M. 14 Grava, Tamara 11 Duits, Maurice 11 Miller, Peter D. 11 Tovbis, Alexander 10 Baik, Jinho 10 Zhang, Lun 9 Biondini, Gino 9 Buckingham, Robert J. 9 Klein, Christian 9 Levin, Eli 9 Liechty, Karl 9 Orive Rodríguez, Ramón Angel 9 Van Assche, Walter 9 Yattselev, Maxim L. 8 Charlier, Christophe 8 Deaño, Alfredo 8 Krasovsky, Igor V. 8 Yin, Jun 8 Zhou, Xin 7 Bothner, Thomas 7 Bourgade, Paul 7 Delvaux, Steven 7 Ismail, Mourad El-Houssieny 7 Jenkins, Robert J. jun. 7 Johansson, Kurt 7 Kamvissis, Spyridon 7 Lee, Seung-Yeop 7 Mo, Man Yue 7 Silva, Guilherme L. F. 6 Guionnet, Alice 6 Guo, Boling 6 Kodama, Yuji 6 Kriecherbauer, Thomas 6 Lambert, Gaultier 6 Shcherbina, Mariya 6 Simon, Barry 5 Borodin, Alexei 5 Breuer, Jonathan 5 Chen, Yang 5 Eynard, Bertrand 5 Fan, Engui 5 Foulquié Moreno, Ana Pilar 5 Geronimo, Jeffrey S. 5 Lapik, M. A. 5 Lee, Long 5 Liu, Nan 5 Miña-Díaz, Erwin 5 Pierce, Virgil U. 5 Qiu, Weiyuan 5 Rakhmanov, Evgenij Andreevich 5 Trogdon, Thomas 5 Venakides, Stephanos 5 Wielonsky, Franck 4 Balogh, Ferenc N. 4 Camassa, Roberto 4 Dubrovin, Boris Anatol’evich 4 Gekhtman, Mikhaèl I. 4 Kotlyarov, Vladimir P. 4 Li, Sitai 4 Lin, Yu 4 Lyng, Gregory Daniel 4 Marcellán Español, Francisco 4 Minakov, Alexander 4 Pastur, Leonid Andreevich 4 Péché, Sandrine 4 Peña, Ana 4 Román, Pablo Manuel 4 Sánchez Lara, Joaquin F. 4 Szmigielski, Jacek 4 Vanlessen, Maarten 4 Wang, Dong 4 Wang, Xiangsheng 3 Álvarez, Gabriel 3 Area, Iván 3 Auffinger, Antonio 3 Baratchart, Laurent 3 Bloch, Anthony M. 3 Branquinho, Amílcar José Pinto Lopes 3 Cachafeiro, Alicia 3 Cao, Lihua 3 Ciucu, Mihai 3 Cunden, Fabio Deelan 3 Damelin, Steven Benjamin 3 Dragnev, Peter D. ...and 577 more Authors
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#### Cited in 145 Serials

 89 Communications in Mathematical Physics 73 Journal of Approximation Theory 35 Journal of Mathematical Physics 27 Communications on Pure and Applied Mathematics 27 Physica D 26 Advances in Mathematics 24 Journal of Statistical Physics 23 Journal of Mathematical Analysis and Applications 21 Constructive Approximation 19 Journal of Computational and Applied Mathematics 16 Probability Theory and Related Fields 15 The Annals of Probability 15 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 13 Random Matrices: Theory and Applications 12 Nonlinearity 9 Duke Mathematical Journal 9 Proceedings of the American Mathematical Society 9 Studies in Applied Mathematics 8 Annales Henri Poincaré 8 Computational Methods and Function Theory 8 Analysis and Applications (Singapore) 7 Physics Letters. A 7 Journal of Functional Analysis 6 Journal d’Analyse Mathématique 6 Nuclear Physics. B 6 Mathematical Physics, Analysis and Geometry 5 Transactions of the American Mathematical Society 5 Journal of Nonlinear Science 4 Journal of Computational Physics 4 Letters in Mathematical Physics 4 Mathematical Notes 4 Mathematics of Computation 4 Acta Mathematica 4 Applied Mathematics and Computation 4 Journal of Differential Equations 4 Journal of Theoretical Probability 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Foundations of Computational Mathematics 3 Theoretical and Mathematical Physics 3 Memoirs of the American Mathematical Society 3 Transactions of the Moscow Mathematical Society 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Numerical Algorithms 3 Bulletin of the American Mathematical Society. New Series 3 St. Petersburg Mathematical Journal 3 Electronic Journal of Probability 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Acta Mathematica Sinica. English Series 3 Journal of High Energy Physics 3 Journal of Physics A: Mathematical and Theoretical 3 Science China. Mathematics 3 Analysis and Mathematical Physics 2 Journal of the Franklin Institute 2 Integral Equations and Operator Theory 2 Inventiones Mathematicae 2 Quarterly of Applied Mathematics 2 Chinese Annals of Mathematics. Series B 2 Acta Mathematica Hungarica 2 Applied Numerical Mathematics 2 Journal of the American Mathematical Society 2 The Annals of Applied Probability 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Russian Journal of Mathematical Physics 2 Journal of Mathematical Sciences (New York) 2 Advances in Computational Mathematics 2 Integral Transforms and Special Functions 2 Discrete and Continuous Dynamical Systems 2 The Ramanujan Journal 2 Discrete Dynamics in Nature and Society 2 Annals of Mathematics. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Central European Journal of Mathematics 2 Journal of Statistical Mechanics: Theory and Experiment 2 Proceedings of the Steklov Institute of Mathematics 2 Bollettino dell’Unione Matematica Italiana 1 International Journal of Modern Physics A 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 Inverse Problems 1 Israel Journal of Mathematics 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Annales de l’Institut Fourier 1 The Annals of Statistics 1 Automatica 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 Publications Mathématiques 1 Journal of Algebra 1 Journal of Multivariate Analysis 1 Mathematics and Computers in Simulation ...and 45 more Serials
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#### Cited in 48 Fields

 223 Probability theory and stochastic processes (60-XX) 191 Linear and multilinear algebra; matrix theory (15-XX) 188 Special functions (33-XX) 177 Partial differential equations (35-XX) 152 Harmonic analysis on Euclidean spaces (42-XX) 137 Statistical mechanics, structure of matter (82-XX) 102 Functions of a complex variable (30-XX) 96 Approximations and expansions (41-XX) 91 Dynamical systems and ergodic theory (37-XX) 61 Ordinary differential equations (34-XX) 59 Quantum theory (81-XX) 48 Numerical analysis (65-XX) 38 Operator theory (47-XX) 31 Potential theory (31-XX) 20 Combinatorics (05-XX) 17 Fluid mechanics (76-XX) 16 Statistics (62-XX) 12 Functional analysis (46-XX) 9 Real functions (26-XX) 9 Difference and functional equations (39-XX) 8 Number theory (11-XX) 8 Algebraic geometry (14-XX) 8 Optics, electromagnetic theory (78-XX) 7 Integral equations (45-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Mechanics of particles and systems (70-XX) 5 Integral transforms, operational calculus (44-XX) 5 Mechanics of deformable solids (74-XX) 5 Information and communication theory, circuits (94-XX) 4 Nonassociative rings and algebras (17-XX) 4 Measure and integration (28-XX) 4 Sequences, series, summability (40-XX) 4 Relativity and gravitational theory (83-XX) 3 Convex and discrete geometry (52-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 General topology (54-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)