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## Majda, Andrew J.

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 Author ID: majda.andrew-j Published as: Madja, Andrew J.; Majda, A.; Majda, A. J.; Majda, Andrew; Majda, Andrew J. Homepage: http://www.math.nyu.edu/faculty/majda/ External Links: MGP · Wikidata · GND
 Documents Indexed: 323 Publications since 1974, including 13 Books Biographic References: 1 Publication
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#### Co-Authors

 34 single-authored 19 Qi, Di 14 Chen, Nan 13 Harlim, John 13 Khouider, Boualem 13 Tong, Xin Thomson 12 Gershgorin, Boris 11 Rosales, Rodolfo Ruben 10 Branicki, Michał 10 Grote, Marcus J. 9 Abramov, Rafail V. 8 Avellaneda, Marco 8 Bourlioux, Anne 8 Katsoulakis, Markos A. 8 Timofeyev, Ilya 7 Klein, Rupert 7 Osher, Stanley Joel 7 Stechmann, Samuel N. 7 Tabak, Esteban G. 7 Wang, Xiaoming 6 Constantin, Peter 6 Elliott, Frank W. jun. 6 Grooms, Ian G. 6 Lee, Yoonsang 6 Roytburd, Victor 6 Souganidis, Panagiotis E. 5 Artola, Miguel 5 Beale, J. Thomas 5 Biello, Joseph A. 5 Embid, Pedro F. 5 Engquist, Bjorn E. 5 Giannakis, Dimitrios 5 Ralston, James V. 5 Sapsis, Themistoklis P. 5 Sopasakis, Alexandros 5 Vanden-Eijnden, Eric 4 Cai, David 4 DiBattista, Mark T. 4 DiPerna, Ronald J. 4 Horntrop, David J. 4 McLaughlin, David W. 4 McLaughlin, Richard M. 3 Almgren, Robert F. 3 Dutrifoy, Alexandre 3 Franzke, Christian L. E. 3 Haven, Kyle 3 Klainerman, Sergiu 3 Kramer, Peter R. 3 Shefter, Michael G. 3 Thual, Sulian 3 Zheng, Yuxi 2 Chen, Shengqian 2 Crandall, Michael G. 2 Crommelin, Daan T. 2 Goodman, Jonathan B. 2 Horenko, Illia 2 Hunter, John K. 2 Kleeman, Richard 2 Majda, George 2 Smith, Leslie M. 2 Taylor, Michael Eugene 2 Vlachos, Dionisios G. 2 Xing, Yulong 2 Yuan, Yuan 1 Bertozzi, Andrea Louise 1 Bolles, C. Tyler 1 Brenowitz, N. D. 1 Bühler, Oliver 1 Castronovo, Emilio 1 Choi, Yung-Sze 1 Chorin, Alexandre Joel 1 Colella, Phillip 1 Damodaran, Kumaran 1 De La Chevrotière, Michèle 1 de Wiljes, Jana 1 Deng, Qiang 1 Fefferman, Charles Louis 1 Fischer, Alexander 1 Foiaş, Ciprian Ilie 1 Frierson, Dargan M. W. 1 Glimm, James G. 1 Goodman, Roy H. 1 Grotta-Ragazzo, C. 1 Hairer, Martin 1 Herbei, Radu 1 Hernández-Dueñas, Gerardo 1 Holen, Margaret 1 Kang, Emily L. 1 Kato, Tosio 1 Kelly, David Thomas Bryant 1 Kelly, David L. 1 Kovačič, Gregor 1 Kukavica, Igor 1 Lamb, Kevin G. 1 Law, Kody J. H. 1 Lax, Peter David 1 Lions, Pierre-Louis 1 Luskin, Mitchell 1 Mahdi, Adam 1 McDonough, James M. 1 Mohammadian, Majid ...and 13 more Co-Authors
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#### Serials

 37 Proceedings of the National Academy of Sciences of the United States of America 30 Communications on Pure and Applied Mathematics 23 Journal of Computational Physics 20 Communications in Mathematical Sciences 18 Physica D 15 Nonlinearity 11 Journal of Nonlinear Science 10 SIAM Journal on Applied Mathematics 9 Studies in Applied Mathematics 8 Physics of Fluids 7 Communications in Mathematical Physics 7 Journal of Statistical Physics 6 Physics of Fluids, A 6 Communications in Partial Differential Equations 6 Multiscale Modeling & Simulation 5 Journal of Fluid Mechanics 5 Theoretical and Computational Fluid Dynamics 4 Mathematics of Computation 4 Chinese Annals of Mathematics. Series B 4 Methods and Applications of Analysis 4 Chaos 3 Duke Mathematical Journal 3 Indiana University Mathematics Journal 3 SIAM Journal on Scientific and Statistical Computing 3 SIAM Review 3 Mathematics of Climate and Weather Forecasting 2 Journal of Differential Equations 2 Memoirs of the American Mathematical Society 2 Numerische Mathematik 2 Philosophical Transactions of the Royal Society of London. Series A 2 SIAM Journal on Scientific Computing 2 Discrete and Continuous Dynamical Systems 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Combustion Theory and Modelling 2 Oberwolfach Reports 2 The IMA Volumes in Mathematics and its Applications 2 SIAM/ASA Journal on Uncertainty Quantification 2 Research in the Mathematical Sciences 1 Geophysical and Astrophysical Fluid Dynamics 1 Journal of Mathematical Physics 1 Journal of the American Mathematical Society 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Mathematical Sciences. University of Tokyo 1 Matemática Contemporânea 1 Discrete and Continuous Dynamical Systems. Series B 1 Stochastics and Dynamics 1 Milan Journal of Mathematics 1 Applied Mathematical Sciences 1 CRM Monograph Series 1 Mathematical Sciences Research Institute Publications 1 Courant Lecture Notes in Mathematics 1 Statistical Analysis and Data Mining 1 Frontiers in Applied Dynamical Systems: Reviews and Tutorials 1 SpringerBriefs in Mathematics of Planet Earth 1 Cambridge Texts in Applied Mathematics
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#### Fields

 202 Fluid mechanics (76-XX) 105 Partial differential equations (35-XX) 93 Geophysics (86-XX) 56 Probability theory and stochastic processes (60-XX) 51 Numerical analysis (65-XX) 47 Statistics (62-XX) 35 Systems theory; control (93-XX) 33 Statistical mechanics, structure of matter (82-XX) 32 Dynamical systems and ergodic theory (37-XX) 20 Classical thermodynamics, heat transfer (80-XX) 13 Information and communication theory, circuits (94-XX) 12 Ordinary differential equations (34-XX) 5 General and overarching topics; collections (00-XX) 4 Optics, electromagnetic theory (78-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Computer science (68-XX) 3 Mechanics of particles and systems (70-XX) 2 Operator theory (47-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 2 Astronomy and astrophysics (85-XX) 2 Biology and other natural sciences (92-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

304 Publications have been cited 8,607 times in 5,313 Documents Cited by Year
Vorticity and incompressible flow. Zbl 0983.76001
Majda, Andrew J.; Bertozzi, Andrea L.
2002
Compressible fluid flow and systems of conservation laws in several space variables. Zbl 0537.76001
Majda, A.
1984
Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Zbl 0573.76029
Beale, J. T.; Kato, T.; Majda, A.
1984
Absorbing boundary conditions for the numerical simulation of waves. Zbl 0367.65051
Engquist, Bjorn; Majda, Andrew
1977
Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids. Zbl 0476.76068
Klainerman, Sergiu; Majda, Andrew
1981
Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar. Zbl 0809.35057
Constantin, Peter; Majda, Andrew J.; Tabak, Esteban
1994
Introduction to PDEs and waves for the atmosphere and ocean. Zbl 1278.76004
Majda, Andrew
2003
Radiation boundary conditions for acoustic and elastic wave calculations. Zbl 0387.76070
Engquist, Bjorn; Majda, Andrew
1979
Compressible and incompressible fluids. Zbl 0478.76091
Klainerman, Sergiu; Majda, Andrew
1982
Oscillations and concentrations in weak solutions of the incompressible fluid equations. Zbl 0626.35059
DiPerna, Ronald J.; Majda, Andrew J.
1987
The stability of multi-dimensional shock fronts. Zbl 0506.76075
Majda, Andrew
1983
Monotone difference approximations for scalar conservation laws. Zbl 0423.65052
Crandall, Michael G.; Majda, Andrew
1980
A simple one-dimensional model for the three-dimensional vorticity equation. Zbl 0615.76029
Constantin, P.; Lax, P. D.; Majda, A.
1985
Concentrations in regularizations for $$2-D$$ incompressible flow. Zbl 0850.76730
Diperna, Ronald J.; Majda, Andrew J.
1987
Geometric constraints on potentially singular solutions for the $$3-D$$ Euler equations. Zbl 0853.35091
Constantin, Peter; Fefferman, Charles; Majda, Andrew J.
1996
Nonlinear dynamics and statistical theories for basic geophysical flows. Zbl 1141.86001
Majda, Andrew J.; Wang, Xiaoming
2006
The existence of multi-dimensional shock fronts. Zbl 0517.76068
Majda, Andrew
1983
Vorticity and the mathematical theory of incompressible fluid flow. Zbl 0595.76021
Majda, Andrew
1986
Initial-boundary value problems for hyperbolic equations with uniformly characteristic boundary. Zbl 0314.35061
Majda, Andrew; Osher, Stanley
1975
Formation of singularities for wave equations including the nonlinear vibrating string. Zbl 0443.35040
Klainerman, Sergiu; Majda, Andrew
1980
A mathematical framework for stochastic climate models. Zbl 1017.86001
Majda, Andrew J.; Timofeyev, Ilya; Vanden Eijnden, Eric
2001
Theoretical and numerical structure for unstable one-dimensional detonations. Zbl 0731.76076
Bourlioux, Anne; Majda, Andrew J.; Roytburd, Victor
1991
Resonantly interacting weakly nonlinear hyperbolic waves. I: A single space variable. Zbl 0572.76066
Majda, Andrew; Rosales, Rodolfo
1984
A one-dimensional model for dispersive wave turbulence. Zbl 0882.76035
Majda, Andrew J.; McLaughlin, David W.; Tabak, Esteban G.
1997
Absorbing boundary conditions for numerical simulation of waves. Zbl 0378.76018
Engquist, Björn; Majda, Andrew
1977
High order accurate vortex methods with explicit velocity kernels. Zbl 0588.76037
Beale, J. T.; Majda, A.
1985
Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales. Zbl 0839.76093
Majda, Andrew J.; Souganidis, Panagiotis E.
1994
A qualitative model for dynamic combustion. Zbl 0472.76075
Majda, Andrew
1981
Averaging over fast gravity waves for geophysical flows with arbitrary potential vorticity. Zbl 0849.35106
Embid, Pedro F.; Majda, Andrew J.
1996
Theoretical and numerical structure for reacting shock waves. Zbl 0633.76060
Colella, Phillip; Majda, Andrew; Roytburd, Victor
1986
Filtering complex turbulent systems. Zbl 1250.93002
Majda, Andrew J.; Harlim, John
2012
Stable viscosity matrices for systems of conservation laws. Zbl 0512.76067
Majda, Andrew; Pego, Robert L.
1985
Mathematical models with exact renormalization for turbulent transport. Zbl 0703.76042
Avellaneda, Marco; Majda, Andrew J.
1990
Information theory and stochastics for multiscale nonlinear systems. Zbl 1082.60002
Majda, Andrew J.; Abramov, Rafail V.; Grote, Marcus J.
2005
Remarks on weak solutions for vortex sheets with a distinguished sign. Zbl 0791.76015
Majda, Andrew J.
1993
Models for stochastic climate prediction. Zbl 0966.86003
Majda, Andrew J.; Timofeyev, Ilya; Vanden Eijnden, Eric
1999
The Fourier method for nonsmooth initial data. Zbl 0393.65039
Majda, Andrew; McDonough, James; Osher, Stanley
1978
Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems. Zbl 1134.37365
Abramov, Rafail V.; Majda, Andrew J.
2007
A simple framework to justify linear response theory. Zbl 1186.82006
Hairer, Martin; Majda, Andrew J.
2010
Rates of convergence for viscous splitting of the Navier-Stokes equations. Zbl 0518.76027
Beale, J. Thomas; Majda, Andrew
1981
The method of fractional steps for conservation laws. Zbl 0438.65076
Crandall, Michael; Majda, Andrew
1980
Resonantly interacting, weakly nonlinear hyperbolic waves. II: Several space variables. Zbl 0657.35084
Hunter, J. K.; Majda, A.; Rosales, R.
1986
Multiple steady states for 1-D transonic flow. Zbl 0573.76055
Embid, Pedro; Goodman, Jonathan; Majda, Andrew
1984
Reduced Hausdorff dimension and concentration-cancellation for two- dimensional incompressible flow. Zbl 0707.76026
DiPerna, Ronald J.; Majda, Andrew
1988
A two-dimensional model for quasigeostrophic flow: Comparison with the two-dimensional Euler flow. Zbl 0899.76105
Majda, Andrew J.; Tabak, Esteban G.
1996
High frequency asymptotics for the scattering matrix and the inverse problem of acoustical scattering. Zbl 0463.35048
Majda, Andrew
1976
Singular front formation in a model for quasigeostrophic flow. Zbl 0826.76014
Constantin, Peter; Majda, Andrew J.; Tabak, Esteban G.
1994
Multi-dimensional shock fronts for second order wave equations. Zbl 0632.35047
Majda, Andrew; Thomann, Enrique
1987
Large scale dynamics of precipitation fronts in the tropical atmosphere: a novel relaxation limit. Zbl 1160.86303
Frierson, Dargan M. W.; Majda, Andrew J.; Pauluis, Olivier M.
2004
An integral representation and bounds on the effective diffusivity in passive advection by laminar and turbulent flows. Zbl 0731.76082
Avellaneda, Marco; Majda, Andrew J.
1991
Nonlinear Laplacian spectral analysis for time series with intermittency and low-frequency variability. Zbl 1256.62053
Giannakis, Dimitrios; Majda, Andrew J.
2012
New approximations and tests of linear fluctuation-response for chaotic nonlinear forced-dissipative dynamical systems. Zbl 1151.82364
Abramov, Rafail V.; Majda, Andrew J.
2008
Remarkable statistical behavior for truncated Burgers-Hopf dynamics. Zbl 0969.35117
Majda, Andrew J.; Timofeyev, Ilya
2000
Simplified equations for the interaction of nearly parallel vortex filaments. Zbl 0846.76015
Klein, Rupert; Majda, Andrew J.; Damodaran, Kumaran
1995
The Beltrami spectrum for incompressible fluid flows. Zbl 0669.76049
Constantin, Peter; Majda, Andrew
1988
A theory for spontaneous Mach stem formation in reacting shock fronts. I. The basic perturbation analysis. Zbl 0544.76135
Majda, Andrew; Rosales, Rodolfo
1983
An applied mathematics perspective on stochastic modelling for climate. Zbl 1153.86315
Majda, Andrew J.; Franzke, Christian; Khouider, Boualem
2008
Vorticity, turbulence, and acoustics in fluid flow. Zbl 0850.76278
Majda, Andrew J.
1991
One perspective on open problems in multi-dimensional conservation laws. Zbl 0769.35038
Majda, Andrew J.
1991
Lessons in uncertainty quantification for turbulent dynamical systems. Zbl 1264.94076
Majda, Andrew J.; Branicki, Michal
2012
The validity of nonlinear geometric optics for weak solutions of conservation laws. Zbl 0582.35081
Di Perna, Ronald J.; Majda, Andrew
1985
The representation formula for the scattering operator and the inverse problem for arbitrary bodies. Zbl 0335.35076
Majda, Andrew
1977
Physics constrained nonlinear regression models for time series. Zbl 1262.93024
Majda, Andrew J.; Harlim, John
2013
Normal forms for reduced stochastic climate models. Zbl 1202.86011
Majda, Andrew J.; Franzke, Christian; Crommelin, Daan
2009
A priori tests of a stochastic mode reduction strategy. Zbl 1007.60064
Majda, A.; Timofeyev, I.; Vanden-Eijnden, E.
2002
Existence of global weak solutions to one-component Vlasov-Poisson and Fokker-Planck-Poisson systems in one space dimension with measures as initial data. Zbl 0809.35088
Zheng, Yuxi; Majda, Andrew
1994
Nonlinear development of instabilities in supersonic vortex sheets. I. The basic kink modes. Zbl 0632.76074
Artola, Miguel; Majda, Andrew J.
1987
Dispersive wave turbulence in one dimension. Zbl 1049.76035
Cai, David; Majda, Andrew J.; McLaughlin, David W.; Tabak, Esteban G.
2001
Averaging over fast gravity waves for geophysical flow with unbalanced initial data. Zbl 0923.76339
Majda, Andrew J.; Embid, Pedro
1998
Concentrations in the one-dimensional Vlasov-Poisson equations. I: Temporal development and non-unique weak solutions in the single component case. Zbl 0813.35091
Majda, Andrew J.; Majda, George; Zheng, Yuxi
1994
Self-stretching of a perturbed vortex filament. I: The asymptotic equation for deviations from a straight line. Zbl 0738.35063
Klein, Rupert; Majda, Andrew J.
1991
A canonical system of integrodifferential equations arising in resonant nonlinear acoustics. Zbl 0669.76103
Majda, Andrew; Rosales, Rodolfo; Schonbek, Maria
1988
Statistically accurate low-order models for uncertainty quantification in turbulent dynamical systems. Zbl 1292.62133
Sapsis, Themistoklis P.; Majda, Andrew J.
2013
Mathematical strategies for filtering turbulent dynamical systems. Zbl 1191.93135
Majda, Andrew J.; Harlim, John; Gershgorin, Boris
2010
Test models for improving filtering with model errors through stochastic parameter estimation. Zbl 1178.93133
Gershgorin, B.; Harlim, J.; Majda, A. J.
2010
Mathematical models with exact renormalization for turbulent transport. II: Fractal interfaces, non-Gaussian statistics and the sweeping effect. Zbl 0754.76046
Avellaneda, Marco; Majda, Andrew
1992
Weakly nonlinear detonation waves. Zbl 0572.76062
Rosales, Rodolfo R.; Majda, Andrew
1983
Reflection of singularities at the boundary. Zbl 0307.35077
Majda, Andrew J.; Osher, Stanley
1975
An introduction to turbulent dynamical systems in complex systems. Zbl 1377.37003
Majda, Andrew J.
2016
Nonlinear stability and ergodicity of ensemble based Kalman filters. Zbl 1334.60060
Tong, Xin T.; Majda, Andrew J.; Kelly, David
2016
High skill in low-frequency climate response through fluctuation dissipation theorems despite structural instability. Zbl 1205.86025
Majda, Andrew J.; Abramov, Rafail; Gershgorin, Boris
2010
Coarse-grained stochastic processes for microscopic lattice systems. Zbl 1063.82033
Katsoulakis, Markos A.; Majda, Andrew J.; Vlachos, Dionisios G.
2003
The random uniform shear layer: An explicit example of turbulent diffusion with broad tail probability distributions. Zbl 0781.76047
Majda, Andrew J.
1993
An analogue of Weyl’s theorem for unbounded domains. I. Zbl 0408.35069
Majda, Andrew; Ralston, James
1978
Inverse scattering problems for transparent obstacles, electromagnetic waves, and hyperbolic systems. Zbl 0373.35055
Majda, Andrew; Taylor, Michael
1977
Disappearing solutions for the dissipative wave equation. Zbl 0329.35038
Majda, Andrew
1975
A statistically accurate modified quasilinear Gaussian closure for uncertainty quantification in turbulent dynamical systems. Zbl 1278.70018
Sapsis, Themistoklis P.; Majda, Andrew J.
2013
Improving filtering and prediction of spatially extended turbulent systems with model errors through stochastic parameter estimation. Zbl 1178.93134
Gershgorin, B.; Harlim, J.; Majda, A. J.
2010
Coarse-grained stochastic processes and Monte Carlo simulations in lattice systems. Zbl 1034.82053
Katsoulakis, Markos A.; Majda, Andrew J.; Vlachos, Dionisios G.
2003
Improving model fidelity and sensitivity for complex systems through empirical information theory. Zbl 1256.94026
Majda, Andrew J.; Gershgorin, Boris
2011
An ensemble Kalman filter for statistical estimation of physics constrained nonlinear regression models. Zbl 1349.62593
Harlim, John; Mahdi, Adam; Majda, Andrew J.
2014
New perspectives on superparameterization for geophysical turbulence. Zbl 1349.86035
Majda, Andrew J.; Grooms, Ian
2014
Linear response theory for statistical ensembles in complex systems with time-periodic forcing. Zbl 1201.37109
Majda, Andrew; Wang, Xiaoming
2010
Distinct metastable atmospheric regimes despite nearly Gaussian statistics: a paradigm model. Zbl 1160.86304
Majda, Andrew J.; Franzke, Christian L.; Fischer, Alexander; Crommelin, Daniel T.
2006
Comparison of turbulent flame speeds from complete averaging and the G-equation. Zbl 1039.80504
Embid, Pedro F.; Majda, Andrew J.; Souganidis, Panagiotis E.
1995
Discrete shock profiles for systems of conservation laws. Zbl 0388.35047
Majda, Andrew; Ralston, James
1979
Propagation of error into regions of smoothness for accurate difference approximations to hyperbolic equations. Zbl 0358.35010
Majda, Andrew; Osher, Stanley
1977
Fundamental limitations of polynomial chaos for uncertainty quantification in systems with intermittent instabilities. Zbl 1281.60054
Branicki, Michal; Majda, Andrew J.
2013
Filtering nonlinear dynamical systems with linear stochastic models. Zbl 1147.93411
Harlim, J.; Majda, A. J.
2008
Quantifying predictability through information theory: small sample estimation in a non-Gaussian framework. Zbl 1088.62502
Haven, Kyle; Majda, Andrew; Abramov, Rafail
2005
Statistical phase transitions and extreme events in shallow water waves with an abrupt depth change. Zbl 1446.35136
Majda, Andrew J.; Qi, Di
2020
Efficient nonlinear optimal smoothing and sampling algorithms for complex turbulent nonlinear dynamical systems with partial observations. Zbl 1436.37091
Chen, Nan; Majda, Andrew J.
2020
Predicting observed and hidden extreme events in complex nonlinear dynamical systems with partial observations and short training time series. Zbl 1435.37100
Chen, Nan; Majda, Andrew J.
2020
Statistical dynamical model to predict extreme events and anomalous features in shallow water waves with abrupt depth change. Zbl 1416.76024
Majda, Andrew J.; Moore, M. N. J.; Qi, Di
2019
Spatial localization for nonlinear dynamical stochastic models for excitable media. Zbl 07149890
Chen, Nan; Majda, Andrew J.; Tong, Xin T.
2019
Linear and nonlinear statistical response theories with prototype applications to sensitivity analysis and statistical control of complex turbulent dynamical systems. Zbl 1433.62337
Majda, Andrew J.; Qi, Di
2019
Transient metastability and selective decay for the coherent zonal structures in plasma drift wave turbulence. Zbl 1428.35395
Qi, Di; Majda, Andrew J.
2019
Zonal jet creation from secondary instability of drift waves for plasma edge turbulence. Zbl 1428.76071
Qi, Di; Majda, Andrew J.
2019
Tropical intraseasonal variability and the stochastic skeleton method. Zbl 1448.86003
Majda, Andrew J.; Stechmann, Samuel N.; Chen, Shengqian; Ogrosky, H. Reed; Thual, Sulian
2019
Simple nonlinear models with rigorous extreme events and heavy tails. Zbl 1411.60078
Majda, Andrew J.; Tong, Xin T.
2019
Strategies for reduced-order models for predicting the statistical responses and uncertainty quantification in complex turbulent dynamical systems. Zbl 1393.76041
Majda, Andrew J.; Qi, Di
2018
Efficient statistically accurate algorithms for the Fokker-Planck equation in large dimensions. Zbl 1380.60055
Chen, Nan; Majda, Andrew J.
2018
Rigorous analysis for efficient statistically accurate algorithms for solving Fokker-Planck equations in large dimensions. Zbl 1410.35244
Chen, Nan; Majda, Andrew J.; Tong, Xin T.
2018
Performance of ensemble Kalman filters in large dimensions. Zbl 1390.93799
Majda, Andrew J.; Tong, Xin T.
2018
Predicting extreme events for passive scalar turbulence in two-layer baroclinic flows through reduced-order stochastic models. Zbl 1395.76029
Qi, Di; Majda, Andrew J.
2018
Accuracy of some approximate Gaussian filters for the Navier-Stokes equation in the presence of model error. Zbl 1408.93132
Branicki, M.; Majda, A. J.; Law, K. J. H.
2018
Rigorous statistical bounds in uncertainty quantification for one-layer turbulent geophysical flows. Zbl 1403.76021
Qi, Di; Majda, Andrew J.
2018
Rigorous accuracy and robustness analysis for two-scale reduced random Kalman filters in high dimensions. Zbl 1402.60045
Majda, Andrew J.; Tong, Xin T.
2018
Beating the curse of dimension with accurate statistics for the Fokker-Planck equation in complex turbulent systems. Zbl 1404.35444
Chen, Nan; Majda, Andrew J.
2017
Low-dimensional reduced-order models for statistical response and uncertainty quantification: barotropic turbulence with topography. Zbl 1378.86007
Qi, Di; Majda, Andrew J.
2017
Effective control of complex turbulent dynamical systems through statistical functionals. Zbl 1404.76115
Majda, Andrew J.; Qi, Di
2017
Stochastic superparameterization and multiscale filtering of turbulent tracers. Zbl 1361.93063
Lee, Yoonsang; Majda, Andrew J.; Qi, Di
2017
An introduction to turbulent dynamical systems in complex systems. Zbl 1377.37003
Majda, Andrew J.
2016
Nonlinear stability and ergodicity of ensemble based Kalman filters. Zbl 1334.60060
Tong, Xin T.; Majda, Andrew J.; Kelly, David
2016
Predicting fat-tailed intermittent probability distributions in passive scalar turbulence with imperfect models through empirical information theory. Zbl 1349.76101
Qi, Di; Majda, Andrew J.
2016
Nonlinear stability of the ensemble Kalman filter with adaptive covariance inflation. Zbl 1370.37009
Tong, Xin T.; Majda, Andrew J.; Kelly, David
2016
Ergodicity of truncated stochastic Navier Stokes with deterministic forcing and dispersion. Zbl 1349.76099
Majda, Andrew J.; Tong, Xin T.
2016
Improving prediction skill of imperfect turbulent models through statistical response and information theory. Zbl 1331.76096
Majda, Andrew J.; Qi, Di
2016
Simple stochastic model for El Niño with westerly wind bursts. Zbl 1355.86005
Thual, Sulian; Majda, Andrew J.; Chen, Nan; Stechmann, Samuel N.
2016
Geometric ergodicity for piecewise contracting processes with applications for tropical stochastic lattice models. Zbl 1346.86005
Majda, Andrew J.; Tong, Xin T.
2016
State estimation and prediction using clustered particle filters. Zbl 1407.62341
Lee, Yoonsang; Majda, Andrew J.
2016
Nonlinear Laplacian spectral analysis of Rayleigh-Bénard convection. Zbl 1349.76796
Brenowitz, N. D.; Giannakis, D.; Majda, A. J.
2016
Moment bounds and geometric ergodicity of diffusions with random switching and unbounded transition rates. Zbl 1386.60277
Tong, Xin T.; Majda, Andrew J.
2016
Noisy Lagrangian tracers for filtering random rotating compressible flows. Zbl 1329.76128
Chen, Nan; Majda, Andrew J.; Tong, Xin T.
2015
Intermittency in turbulent diffusion models with a mean gradient. Zbl 1357.37089
Majda, Andrew J.; Tong, Xin T.
2015
Multiscale methods for data assimilation in turbulent systems. Zbl 1317.93250
Lee, Yoonsang; Majda, Andrew J.
2015
Predicting the cloud patterns for the boreal summer intraseasonal oscillation through a low-order stochastic model. Zbl 1364.86015
Chen, Nan; Majda, Andrew J.
2015
An information-theoretic framework for improving imperfect dynamical predictions via multi-model ensemble forecasts. Zbl 1342.94056
Branicki, Michal; Majda, Andrew J.
2015
Numerical schemes for stochastic backscatter in the inverse cascade of quasigeostrophic turbulence. Zbl 1328.76047
Grooms, Ian; Lee, Yoonsang; Majda, Andrew J.
2015
Multiscale asymptotics for the skeleton of the Madden-Julian oscillation and tropical-extratropical interactions. Zbl 1364.86016
Chen, Shengqian; Majda, Andrew J.; Stechmann, Samuel N.
2015
Blended particle methods with adaptive subspaces for filtering turbulent dynamical systems. Zbl 1364.62234
Qi, Di; Majda, Andrew J.
2015
A suite of skeleton models for the MJO with refined vertical structure. Zbl 1364.86019
Thual, Sulian; Majda, Andrew J.
2015
An ensemble Kalman filter for statistical estimation of physics constrained nonlinear regression models. Zbl 1349.62593
Harlim, John; Mahdi, Adam; Majda, Andrew J.
2014
New perspectives on superparameterization for geophysical turbulence. Zbl 1349.86035
Majda, Andrew J.; Grooms, Ian
2014
Blended particle filters for large-dimensional chaotic dynamical systems. Zbl 1359.62392
Majda, Andrew J.; Qi, Di; Sapsis, Themistoklis P.
2014
Information barriers for noisy Lagrangian tracers in filtering random incompressible flows. Zbl 1320.60102
Chen, Nan; Majda, Andrew J.; Tong, Xin T.
2014
Stochastic superparameterization in quasigeostrophic turbulence. Zbl 1349.76107
Grooms, Ian; Majda, Andrew J.
2014
Conceptual dynamical models for turbulence. Zbl 1355.76025
Majda, Andrew J.; Lee, Yoonsang
2014
Quantifying Bayesian filter performance for turbulent dynamical systems through information theory. Zbl 1302.93212
Branicki, M.; Majda, A. J.
2014
Stochastic superparameterization in a one-dimensional model for wave turbulence. Zbl 1431.76060
Grooms, Ian G.; Majda, Andrew J.
2014
Ensemble Kalman filters for dynamical systems with unresolved turbulence. Zbl 1351.76031
Grooms, Ian; Lee, Yoonsang; Majda, Andrew J.
2014
An MCMC algorithm for parameter estimation in signals with hidden intermittent instability. Zbl 1350.60071
Chen, Nan; Giannakis, Dimitrios; Herbei, Radu; Majda, Andrew J.
2014
Non-Gaussian test models for prediction and state estimation with model errors. Zbl 1334.60058
Branicki, Michal; Chen, Nan; Majda, Andrew J.
2014
Calibration of the stochastic multicloud model using Bayesian inference. Zbl 1298.86003
De La Chevrotière, Michèle; Khouider, Boualem; Majda, Andrew J.
2014
Physics constrained nonlinear regression models for time series. Zbl 1262.93024
Majda, Andrew J.; Harlim, John
2013
Statistically accurate low-order models for uncertainty quantification in turbulent dynamical systems. Zbl 1292.62133
Sapsis, Themistoklis P.; Majda, Andrew J.
2013
A statistically accurate modified quasilinear Gaussian closure for uncertainty quantification in turbulent dynamical systems. Zbl 1278.70018
Sapsis, Themistoklis P.; Majda, Andrew J.
2013
Fundamental limitations of polynomial chaos for uncertainty quantification in systems with intermittent instabilities. Zbl 1281.60054
Branicki, Michal; Majda, Andrew J.
2013
Efficient stochastic superparameterization for geophysical turbulence. Zbl 1292.76038
Grooms, Ian; Majda, Andrew J.
2013
Blending modified Gaussian closure and non-Gaussian reduced subspace methods for turbulent dynamical systems. Zbl 1287.34045
Sapsis, Themistoklis P.; Majda, Andrew J.
2013
Dynamic Stochastic Superresolution of sparsely observed turbulent systems. Zbl 1349.76761
Branicki, M.; Majda, A. J.
2013
Blended reduced subspace algorithms for uncertainty quantification of quadratic systems with a stable mean state. Zbl 1284.93216
Sapsis, Themistoklis P.; Majda, Andrew J.
2013
Climate science in the tropics: waves, vortices and PDEs. Zbl 1322.86002
Khouider, Boualem; Majda, Andrew J.; Stechmann, Samuel N.
2013
Test models for filtering with superparameterization. Zbl 1266.93150
Harlim, John; Majda, Andrew J.
2013
Non-Gaussian test models for prediction and state estimation with model errors. Zbl 1316.60055
Branicki, Michal; Chen, Nan; Majda, Andrew J.
2013
Elementary models for turbulent diffusion with complex physical features: eddy diffusivity, spectrum and intermittency. Zbl 1353.76034
Majda, Andrew J.; Gershgorin, Boris
2013
Minimal models for precipitating turbulent convection. Zbl 1284.76199
Hernandez-Duenas, Gerardo; Majda, Andrew J.; Smith, Leslie M.; Stechmann, Samuel N.
2013
An adaptive Markov chain Monte Carlo approach to time series clustering of processes with regime transition behavior. Zbl 06297626
de Wiljes, Jana; Majda, Andrew; Horenko, Illia
2013
Regression models with memory for the linear response of turbulent dynamical systems. Zbl 1336.37064
Kang, Emily L.; Harlim, John; Majda, Andrew J.
2013
Nonlinear Laplacian spectral analysis: capturing intermittent and low-frequency spatiotemporal patterns in high-dimensional data. Zbl 07260360
Giannakis, Dimitrios; Majda, Andrew J.
2013
Filtering complex turbulent systems. Zbl 1250.93002
Majda, Andrew J.; Harlim, John
2012
Nonlinear Laplacian spectral analysis for time series with intermittency and low-frequency variability. Zbl 1256.62053
Giannakis, Dimitrios; Majda, Andrew J.
2012
Lessons in uncertainty quantification for turbulent dynamical systems. Zbl 1264.94076
Majda, Andrew J.; Branicki, Michal
2012
Quantifying uncertainty for predictions with model error in non-Gaussian systems with intermittency. Zbl 1259.86004
Branicki, Michal; Majda, Andrew J.
2012
Challenges in climate science and contemporary applied mathematics. Zbl 1242.86009
Majda, Andrew J.
2012
Fundamental limitations of ad hoc linear and quadratic multi-level regression models for physical systems. Zbl 1263.62100
Majda, Andrew J.; Yuan, Yuan
2012
Filtering skill for turbulent signals for a suite of nonlinear and linear extended Kalman filters. Zbl 1242.65019
Branicki, M.; Gershgorin, B.; Majda, A. J.
2012
Information theory, model error, and predictive skill of stochastic models for complex nonlinear systems. Zbl 1260.62067
Giannakis, Dimitrios; Majda, Andrew J.; Horenko, Illia
2012
Tropical cyclogenesis and vertical shear in a moist Boussinesq model. Zbl 1275.76213
Deng, Qiang; Smith, Leslie; Majda, Andrew
2012
Improving model fidelity and sensitivity for complex systems through empirical information theory. Zbl 1256.94026
Majda, Andrew J.; Gershgorin, Boris
2011
Link between statistical equilibrium fidelity and forecasting skill for complex systems with model error. Zbl 1256.86003
Majda, Andrew J.; Gershgorin, Boris
2011
Filtering a statistically exactly solvable test model for turbulent tracers from partial observations. Zbl 1391.76179
Gershgorin, B.; Majda, A. J.
2011
Invariant measures and asymptotic Gaussian bounds for normal forms of stochastic climate model. Zbl 1304.86003
Yuan, Yuan; Majda, Andrew J.
2011
A simple framework to justify linear response theory. Zbl 1186.82006
Hairer, Martin; Majda, Andrew J.
2010
Mathematical strategies for filtering turbulent dynamical systems. Zbl 1191.93135
Majda, Andrew J.; Harlim, John; Gershgorin, Boris
2010
Test models for improving filtering with model errors through stochastic parameter estimation. Zbl 1178.93133
Gershgorin, B.; Harlim, J.; Majda, A. J.
2010
High skill in low-frequency climate response through fluctuation dissipation theorems despite structural instability. Zbl 1205.86025
Majda, Andrew J.; Abramov, Rafail; Gershgorin, Boris
2010
Improving filtering and prediction of spatially extended turbulent systems with model errors through stochastic parameter estimation. Zbl 1178.93134
Gershgorin, B.; Harlim, J.; Majda, A. J.
2010
Linear response theory for statistical ensembles in complex systems with time-periodic forcing. Zbl 1201.37109
Majda, Andrew; Wang, Xiaoming
2010
Catastrophic filter divergence in filtering nonlinear dissipative systems. Zbl 1190.93096
Harlim, John; Majda, Andrew J.
2010
A stochastic multicloud model for tropical convection. Zbl 1190.86003
Khouider, Boualem; Biello, Joseph; Majda, Andrew J.
2010
A test model for fluctuation-dissipation theorems with time-periodic statistics. Zbl 1200.37078
Gershgorin, Boris; Majda, Andrew J.
2010
Filtering a nonlinear slow-fast system with strong fast forcing. Zbl 1202.62128
Gershgorin, Boris; Majda, Andrew
2010
Existence and uniqueness of weak solutions for precipitation fronts: a novel hyperbolic free boundary problem in several space variables. Zbl 1204.35068
Majda, Andrew J.; Souganidis, Panagiotis E.
2010
New multi-scale models on mesoscales and squall lines. Zbl 1278.86006
Majda, Andrew J.; Xing, Yulong
2010
Moist multi-scale models for the hurricane embryo. Zbl 1197.76134
Majda, Andrew J.; Xing, Yulong; Mohammadian, Majid
2010
Hybrid deterministic stochastic systems with microscopic look-ahead dynamics. Zbl 1197.35336
Katsoulakis, M. A.; Majda, A. J.; Sopasakis, A.
2010
Intraseasonal multi-scale moist dynamics of the tropical atmosphere. Zbl 1194.86013
Biello, Joseph A.; Majda, Andrew J.
2010
Normal forms for reduced stochastic climate models. Zbl 1202.86011
Majda, Andrew J.; Franzke, Christian; Crommelin, Daan
2009
Mathematical test models for superparametrization in anisotropic turbulence. Zbl 1202.76003
Majda, Andrew J.; Grote, Marcus J.
2009
...and 204 more Documents
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#### Cited by 5,503 Authors

 159 Majda, Andrew J. 55 Chae, Dongho 52 Wu, Jiahong 42 Wang, Shu 39 Constantin, Peter 37 Zumbrun, Kevin R. 36 Titi, Edriss Saleh 34 Xin, Zhouping 33 Feireisl, Eduard 32 Chen, Gui-Qiang G. 29 Givoli, Dan 27 Ye, Zhuan 26 Yamazaki, Kazuo 25 Cordoba, Diego 23 Rauch, Jeffrey B. 21 Chen, Shuxing 21 Hou, Thomas Yizhao 21 Métivier, Guy 21 Peng, Yuejun 21 Zhang, Zhifei 20 Liu, Jianguo 20 Lopes Filho, Milton da Costa 20 Nussenzveig Lopes, Helena Judith 20 Shu, Chi-Wang 20 Vicol, Vlad C. 20 Yang, Jianwei 20 Yao, Zhengan 19 Antoine, Xavier 19 Harlim, John 19 Hmidi, Taoufik 19 Jiang, Song 19 Schochet, Steven H. 18 Jiu, Quansen 18 Klein, Rupert 18 Masmoudi, Nader 18 Stuart, Andrew M. 18 Trakhinin, Yuri L. 17 Dong, Boqing 17 Katsoulakis, Markos A. 17 Novotný, Antonín 17 Rodrigo, José Luis 17 Sapsis, Themistoklis P. 17 Souganidis, Panagiotis E. 17 Xu, Jiang 16 Kiselev, Alexander A. 16 Wang, Xiaoming 15 Engquist, Bjorn E. 15 Guès, Olivier 15 Guo, Boling 15 Hagstrom, Thomas M. 15 Li, Dong 15 Li, Fucai 15 Qi, Di 14 Beirão da Veiga, Hugo 14 Cao, Chongsheng 14 Flandoli, Franco 14 Gibbon, John D. 14 Hunter, John K. 14 Ju, Qiangchang 14 Williams, Mark 14 Xu, Xiaojing 14 Yin, Huicheng 14 Yong, Wen-An 13 Abramov, Rafail V. 13 Grote, Marcus J. 13 Han, Houde 13 Liu, Qiao 13 Lucarini, Valerio 13 McLaughlin, Richard M. 13 Rosales, Rodolfo Ruben 13 Smith, Leslie M. 13 Stechmann, Samuel N. 13 Tadmor, Eitan 13 Tan, Zhong 13 Tong, Xin Thomson 13 Zhang, Ping 13 Zheng, Yuxi 12 Bertozzi, Andrea Louise 12 Brenier, Yann 12 Chen, Nan 12 Coulombel, Jean-François 12 Fan, Jishan 12 Gala, Sadek 12 Giannakis, Dimitrios 12 Jin, Shi 12 Kawashima, Shuichi 12 Kružík, Martin 12 Lei, Zhen 12 Lin, Chikun 12 Pu, Xueke 12 Speck, Jared 12 Temam, Roger Meyer 12 Wan, Renhui 12 Zhao, Jihong 11 Bao, Weizhu 11 Carrillo de la Plata, José Antonio 11 Chorin, Alexandre Joel 11 Elgindi, Tarek Mohamed 11 Freistühler, Heinrich 11 Gancedo, Francisco ...and 5,403 more Authors
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#### Cited in 409 Serials

 375 Journal of Computational Physics 306 Journal of Differential Equations 189 Archive for Rational Mechanics and Analysis 168 Communications in Mathematical Physics 152 Journal of Mathematical Analysis and Applications 152 Physica D 141 Journal of Fluid Mechanics 126 Communications in Partial Differential Equations 119 Computer Methods in Applied Mechanics and Engineering 102 Physics of Fluids 100 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 84 Mathematics of Computation 79 Journal of Statistical Physics 77 Journal of Mathematical Physics 68 Communications on Pure and Applied Mathematics 68 SIAM Journal on Mathematical Analysis 67 Mathematical Methods in the Applied Sciences 67 Journal of Computational and Applied Mathematics 66 Journal of Scientific Computing 62 Journal of Nonlinear Science 61 Journal of Mathematical Fluid Mechanics 58 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 57 Applied Numerical Mathematics 55 Computers and Fluids 54 Applied Mathematics and Computation 53 Discrete and Continuous Dynamical Systems 52 Nonlinear Analysis. Real World Applications 50 Computers & Mathematics with Applications 49 ZAMP. Zeitschrift für angewandte Mathematik und Physik 49 Applied Mathematics Letters 45 Journal de Mathématiques Pures et Appliquées. Neuvième Série 44 Journal of Functional Analysis 42 Journal of Hyperbolic Differential Equations 40 Chinese Annals of Mathematics. Series B 40 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 39 Advances in Mathematics 37 Wave Motion 36 Transactions of the American Mathematical Society 36 Proceedings of the National Academy of Sciences of the United States of America 35 Studies in Applied Mathematics 33 Proceedings of the American Mathematical Society 30 Nonlinearity 29 Chaos 27 Numerische Mathematik 26 Applicable Analysis 26 SIAM Journal on Scientific Computing 25 Comptes Rendus. Mathématique. Académie des Sciences, Paris 24 Calculus of Variations and Partial Differential Equations 24 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 22 Quarterly of Applied Mathematics 22 Combustion Theory and Modelling 22 Nonlinear Analysis. Theory, Methods & Applications 21 Physics of Fluids, A 21 Discrete and Continuous Dynamical Systems. Series B 19 Acta Applicandae Mathematicae 19 Multiscale Modeling & Simulation 18 SIAM Journal on Numerical Analysis 18 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 18 Communications on Pure and Applied Analysis 17 Journal of Dynamics and Differential Equations 17 Science China. Mathematics 16 International Journal for Numerical Methods in Engineering 16 Mathematical and Computer Modelling 16 SIAM Journal on Applied Mathematics 16 Stochastic Processes and their Applications 15 Annali di Matematica Pura ed Applicata. Serie Quarta 15 Mathematische Annalen 15 NoDEA. Nonlinear Differential Equations and Applications 15 Boundary Value Problems 15 Kinetic and Related Models 15 SIAM/ASA Journal on Uncertainty Quantification 14 Inventiones Mathematicae 14 Acta Mathematicae Applicatae Sinica. English Series 14 Journal of the American Mathematical Society 14 Bulletin of the American Mathematical Society. New Series 14 Journal of Evolution Equations 13 Theoretical and Computational Fluid Dynamics 13 Abstract and Applied Analysis 13 European Journal of Mechanics. B. Fluids 13 Discrete and Continuous Dynamical Systems. Series S 13 Annals of PDE 12 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 12 Numerical Methods for Partial Differential Equations 12 Acta Mathematica Sinica. English Series 11 Journal of Mathematical Sciences (New York) 11 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 11 Living Reviews in Relativity 11 Research in the Mathematical Sciences 10 Inverse Problems 10 Chaos, Solitons and Fractals 10 Annales de l’Institut Fourier 10 Duke Mathematical Journal 10 Mathematics and Computers in Simulation 10 Proceedings of the Japan Academy. Series A 10 Zeitschrift für Analysis und ihre Anwendungen 10 RAIRO. Modélisation Mathématique et Analyse Numérique 10 Revista Matemática Iberoamericana 10 The Annals of Applied Probability 10 Applications of Mathematics 10 Applied Mathematical Modelling ...and 309 more Serials
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#### Cited in 50 Fields

 3,531 Partial differential equations (35-XX) 2,946 Fluid mechanics (76-XX) 1,003 Numerical analysis (65-XX) 382 Geophysics (86-XX) 289 Probability theory and stochastic processes (60-XX) 277 Dynamical systems and ergodic theory (37-XX) 263 Statistical mechanics, structure of matter (82-XX) 236 Mechanics of deformable solids (74-XX) 186 Classical thermodynamics, heat transfer (80-XX) 180 Optics, electromagnetic theory (78-XX) 131 Statistics (62-XX) 100 Calculus of variations and optimal control; optimization (49-XX) 99 Ordinary differential equations (34-XX) 85 Global analysis, analysis on manifolds (58-XX) 83 Biology and other natural sciences (92-XX) 80 Systems theory; control (93-XX) 68 Operator theory (47-XX) 59 Harmonic analysis on Euclidean spaces (42-XX) 55 Quantum theory (81-XX) 52 Relativity and gravitational theory (83-XX) 50 Mechanics of particles and systems (70-XX) 49 Real functions (26-XX) 42 Functional analysis (46-XX) 36 Differential geometry (53-XX) 29 Computer science (68-XX) 28 Astronomy and astrophysics (85-XX) 28 Information and communication theory, circuits (94-XX) 25 Integral equations (45-XX) 22 Measure and integration (28-XX) 19 Operations research, mathematical programming (90-XX) 16 Approximations and expansions (41-XX) 16 Integral transforms, operational calculus (44-XX) 10 Functions of a complex variable (30-XX) 8 Special functions (33-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 General and overarching topics; collections (00-XX) 6 Difference and functional equations (39-XX) 5 History and biography (01-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Potential theory (31-XX) 4 Convex and discrete geometry (52-XX) 4 General topology (54-XX) 2 Combinatorics (05-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX)

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