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Papanicolaou, George C.

Author ID: papanicolaou.george-c Recent zbMATH articles by "Papanicolaou, George C."
Published as: Papanicolaou, George; Papanicolaou, G.; Papanicolaou, George C.; Papanicolaou, G. C.; Papanicolaou, Georges; Papanicolaou, George S.
Homepage: http://math.stanford.edu/~papanico/
External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr
all top 5

Co-Authors

25 single-authored
35 Tsogka, Chrysoula
33 Borcea, Liliana
25 Garnier, Josselin
18 White, Benjamin S.
17 Kohler, Werner E.
16 Ryzhik, Lenya
16 Varadhan, S. R. Srinivasa
14 Fouque, Jean-Pierre
13 Bensoussan, Alain
13 Burridge, Robert
13 Lions, Jacques-Louis
13 Moscoso, Miguel
12 Sølna, Knut
10 McLaughlin, David W.
10 Novikov, Alexei
9 Keller, Joseph Bishop
8 Berryman, James G.
8 Sircar, Ronnie
7 Caflisch, Russel E.
7 Pironneau, Olivier
7 Yang, Tzu-Wei
6 Bal, Guillaume
6 Fannjiang, Albert C.
6 Sircar, K. Ronnie
6 Sulem, Catherine
6 Sulem, Pierre-Louis
5 Guo, Maozheng
5 Postel, Marie
5 Sheng, Ping
4 Asch, Mark
4 Callaghan, Thomas
4 Chai, Anwei
4 Figari, Rodolfo
4 LeMesurier, Brenton J.
4 Miksis, Michael J.
4 Nachbin, André
3 Bertete-Aguirre, Hugo
3 Dorn, Oliver
3 Fibich, Gadi
3 González del Cueto, F.
3 Hersh, Reuben
3 Kesten, Harry
3 Leibovich, Matan
3 Mallat, Stephane Georges
3 Ting, Lu
2 Avellaneda, Marco
2 Bacry, Emmanuel
2 Landman, Michael J.
2 Létourneau, Pierre-David
2 Lewicki, Pawel
2 Nolen, James
2 Orlandi, Enza
2 Semin, Adrien
2 Stroock, Daniel W.
1 Abdullaev, Fatkhulla Kh.
1 Ahuja, Saran
1 Alonso, Ricardo J.
1 Arnold, Ludwig
1 Bardos, Claude Williams
1 Bègue, Catherine
1 Berdichevskiĭ, Viktor L’vovich
1 Bronski, Jared C.
1 Chacon, Tomas
1 Chavent, Guy
1 Cheng, Hongwei
1 Chow, Pao-Liu
1 Cohen, Daniel S.
1 Cotton, Peter
1 Cushman-Roisin, Benoit
1 Dafermos, Constantine
1 Darve, Eric
1 Dawson, Donald Andrew
1 Derveaux, Grégoire
1 Diaconis, Persi Warren
1 Elworthy, David
1 Föllmer, Hans
1 Givoli, Dan
1 Grote, Marcus J.
1 Guevara Vasquez, Fernando
1 Harris, Mitchell Tong
1 Healy, Brian C.
1 Hornung, Ulrich
1 Hou, Thomas Yizhao
1 Huang, Kai
1 Ilan, Boaz
1 Jin, Shi
1 Jordan, Kirk E.
1 Karwowski, Andrzej Joachim
1 Kennedy, Stephen Francis
1 Kholer, W.
1 Kim, Arnold D.
1 Komorowski, Tomasz
1 Kotelenez, Peter M.
1 Kuske, Rachel A.
1 Ladas, Gerasimos E.
1 Langston, Matthew Harper
1 Lu, Ting
1 Mahadevan, Lakshminarayanan
1 Matkowsky, Bernard J.
1 Morrison, John A.
...and 30 more Co-Authors
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Serials

27 Inverse Problems
21 SIAM Journal on Applied Mathematics
19 SIAM Journal on Imaging Sciences
11 Communications on Pure and Applied Mathematics
11 Wave Motion
7 Multiscale Modeling & Simulation
6 Physica D
5 Journal of Fluid Mechanics
5 Journal of Mathematical Physics
5 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
4 Communications in Mathematical Physics
4 The IMA Volumes in Mathematics and its Applications
3 Waves in Random Media
3 Applied Mathematical Finance
3 Risk and Decision Analysis
2 Journal of Statistical Physics
2 Nonlinearity
2 Applied Mathematics and Optimization
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 SIAM Review
2 International Journal of Theoretical and Applied Finance
2 Stochastics and Dynamics
2 Lecture Notes in Physics
2 SIAM Journal on Financial Mathematics
1 American Mathematical Monthly
1 Geophysical and Astrophysical Fluid Dynamics
1 International Journal for Numerical Methods in Fluids
1 Journal of Computational Physics
1 Physics Letters. A
1 Rheologica Acta
1 Rocky Mountain Journal of Mathematics
1 The Annals of Statistics
1 Applied Mathematics and Computation
1 Indiana University Mathematics Journal
1 Journal of Computational and Applied Mathematics
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Studies in Applied Mathematics
1 Acta Applicandae Mathematicae
1 Probability Theory and Related Fields
1 IEEE Transactions on Signal Processing
1 The Annals of Applied Probability
1 Communications in Partial Differential Equations
1 Notices of the American Mathematical Society
1 Computational and Applied Mathematics
1 Documenta Mathematica
1 Matemática Contemporânea
1 Finance and Stochastics
1 Mathematical Finance
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Vietnam Journal of Mathematics
1 IEEE Transactions on Antennas and Propagation
1 Discrete and Continuous Dynamical Systems. Series B
1 Asia-Pacific Financial Markets
1 Waves in Random and Complex Media
1 Bulletin of the American Mathematical Society
1 ISNM. International Series of Numerical Mathematics
1 Lecture Notes in Mathematics
1 Lecture Notes in Pure and Applied Mathematics
1 NATO ASI Series. Series C. Mathematical and Physical Sciences
1 Series on Advances in Mathematics for Applied Sciences
1 Studies in Mathematics and its Applications
1 Surveys in Applied Mathematics
1 Stochastic Modelling and Applied Probability
1 Inverse Problems and Imaging

Publications by Year

Citations contained in zbMATH Open

233 Publications have been cited 6,652 times in 4,995 Documents Cited by Year
Asymptotic analysis for periodic structures. Zbl 0404.35001
Bensoussan, Alain; Lions, Jacques-Louis; Papanicolaou, George
1978
Boundary layer analysis in homogeneization of diffusion equations with Dirichlet conditions in the half space. Zbl 0411.60078
Bensoussan, A.; Lions, J. L.; Papanicolaou, G.
592
1978
Derivatives in financial markets with stochastic volatility. Zbl 0954.91025
Fouque, Jean-Pierre; Papanicolaou, George; Sircar, K. Ronnie
336
2000
Boundary value problems with rapidly oscillating random coefficients. Zbl 0499.60059
Papanicolaou, G. C.; Varadhan, S. R. S.
221
1981
Asymptotic analysis for periodic structures. Reprint of the 1978 original with corrections and bibliographical additions. Zbl 1229.35001
Bensoussan, Alain; Lions, Jacques-Louis; Papanicolaou, George
215
2011
Multiscale stochastic volatility for equity, interest rate, and credit derivatives. Zbl 1248.91003
Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie; Sølna, Knut
161
2011
Wave propagation and time reversal in randomly layered media. Zbl 1386.74001
Fouque, Jean-Pierre; Garnier, Josselin; Papanicolaou, George; Sølna, Knut
155
2007
Nonlinear diffusion limit for a system with nearest neighbor interactions. Zbl 0652.60107
Guo, M. Z.; Papanicolaou, G. C.; Varadhan, S. R. S.
135
1988
Self-focusing with fourth-order dispersion. Zbl 1003.35112
Fibich, Gadi; Ilan, Boaz; Papanicolaou, George
126
2002
Boundary layers and homogenization of transport processes. Zbl 0408.60100
Bensoussan, Alain; Lions, Jacques L.; Papanicolaou, George C.
121
1979
Transport equations for elastic and other waves in random media. Zbl 0954.74533
Ryzhik, Leonid; Papanicolaou, George; Keller, Joseph B.
121
1996
Martingale approach to some limit theorems. Zbl 0387.60067
Papanicolaou, G. C.; Stroock, Daniel W.; Varadhan, S. R. S.
96
1977
Convection enhanced diffusion for periodic flows. Zbl 0796.76084
Fannjiang, Albert; Papanicolaou, George
87
1994
Multiscale stochastic volatility asymptotics. Zbl 1074.91015
Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie; Solna, Knut
83
2004
Singular perturbations in option pricing. Zbl 1039.91024
Fouque, J.-P.; Papanicolaou, G.; Sircar, R.; Solna, K.
82
2003
Asymptotic theory of mixing stochastic ordinary differential equations. Zbl 0288.60056
Papanicolaou, G. C.; Kohler, W.
82
1974
Self-focusing in the perturbed and unperturbed nonlinear Schrödinger equation in critical dimension. Zbl 1026.78013
Fibich, Gadi; Papanicolaou, George
78
1999
Stability and control of stochastic systems with wide-band noise disturbances. I. Zbl 0392.93040
Blankenship, G.; Papanicolaou, G. C.
69
1978
Asymptotic analysis of transport processes. Zbl 0361.60056
Papanicolaou, George C.
62
1975
Diffusions with random coefficients. Zbl 0486.60076
Papanicolaou, George C.; Varadhan, S. R. S.
58
1982
General Black-Scholes models accounting for increased market volatility from hedging strategies. Zbl 1009.91023
Sircar, K. Ronnie; Papanicolaou, George
56
1998
Mean-reverting stochastic volatility. Zbl 1153.91497
Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie
51
2000
A limit theorem for turbulent diffusion. Zbl 0399.60049
Kesten, H.; Papanicolaou, G. C.
50
1979
Imaging and time reversal in random media. Zbl 1047.74032
Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula; Berryman, James
50
2002
Large deviations for a mean field model of systemic risk. Zbl 1283.60044
Garnier, Josselin; Papanicolaou, George; Yang, Tzu-Wei
49
2013
Asymptotic analysis of the Lyapunov exponent and rotation number of the random oscillator and applications. Zbl 0603.60051
Arnold, Ludwig; Papanicolaou, George; Wihstutz, Volker
46
1986
The fluid-dynamical limit of a nonlinear model Boltzmann equation. Zbl 0438.76059
Caflisch, Russel E.; Papanicolaou, George C.
45
1979
Local structure of the self-focusing singularity of the nonlinear Schrödinger equation. Zbl 0694.35206
LeMesurier, B. J.; Papanicolaou, G. C.; Sulem, C.; Sulem, P. L.
45
1988
Effective equations for wave propagation in bubbly liquids. Zbl 0605.76110
Caflisch, Russel E.; Miksis, Michael J.; Papanicolaou, George C.; Ting, Lu
44
1985
Array imaging using intensity-only measurements. Zbl 1207.78022
Chai, Anwei; Moscoso, Miguel; Papanicolaou, George
43
2011
Frequency content of randomly scattered signals. Zbl 0736.60055
Asch, M.; Kohler, W.; Papanicolaou, G.; Postel, M.; White, B.
43
1991
Dynamic theory of suspensions with Brownian effects. Zbl 0543.76133
Caflisch, R.; Papanicolaou, G. C.
42
1983
Variational principles for propagation speeds in inhomogeneous media. Zbl 0995.35031
Heinze, S.; Papanicolaou, G.; Stevens, A.
42
2001
Convection of microstructure and related problems. Zbl 0622.76062
McLaughlin, D. W.; Papanicolaou, G. C.; Pironneau, O. R.
41
1985
Adaptive covariance estimation of locally stationary processes. Zbl 0949.62082
Mallat, Stéphane; Papanicolaou, George; Zhang, Zhifeng
39
1998
A limit theorem for stochastic acceleration. Zbl 0454.60007
Kesten, H.; Papanicolaou, G. C.
36
1980
Focusing and multi-focusing solutions of the nonlinear Schrödinger equation. Zbl 0694.35196
LeMesurier, B. J.; Papanicolaou, G.; Sulem, C.; Sulem, P. L.
36
1988
A wavelet based space-time adaptive numerical method for partial differential equations. Zbl 0768.65062
Bacry, E.; Mallat, S.; Papanicolaou, G.
35
1992
Radiative transport limit for the random Schrödinger equation. Zbl 0999.60061
Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid
35
2002
A framework for adaptive multiscale methods for elliptic problems. Zbl 1160.65342
Nolen, James; Papanicolaou, George; Pironneau, Olivier
34
2008
The focusing singularity of the nonlinear Schrödinger equation. Zbl 0659.35020
LeMesurier, B.; Papanicolaou, G.; Sulem, C.; Sulem, P.-L.
33
1987
The focusing singularity of the Davey-Stewartson equations for gravity- capillary surface waves. Zbl 0815.35104
Papanicolaou, G. C.; Sulem, C.; Sulem, P. L.; Wang, X. P.
33
1994
Some probabilistic problems and methods in singular perturbations. Zbl 0365.60049
Papanicolaou, George C.
31
1976
Statistical stability in time reversal. Zbl 1065.35058
Papanicolaou, George; Ryzhik, Leonid; Solna, Knut
29
2004
A limit theorem with strong mixing in Banach space and two applications to stochastic differential equations. Zbl 0253.60065
Papanicolaou, G. C.; Varadhan, S. R. S.
28
1973
Self-averaging in time reversal for the parabolic wave equation. Zbl 1020.35126
Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid
27
2002
Passive imaging with ambient noise. Zbl 1352.86001
Garnier, Josselin; Papanicolaou, George
27
2016
Passive sensor imaging using cross correlations of noisy signals in a scattering medium. Zbl 1179.35344
Garnier, Josselin; Papanicolaou, George
26
2009
Gravity waves in a channel with a rough bottom. Zbl 0516.76018
Rosales, Rodolfo R.; Papanicolaou, George C.
26
1983
Stability of isotropic singularities for the nonlinear Schrödinger equation. Zbl 0728.35116
Landman, M. J.; Papanicolaou, G. C.; Sulem, C.; Sulem, P. L.; Wang, X. P.
26
1991
Diffusion in random media. Zbl 0846.60081
Papanicolaou, George C.
26
1995
Diffusion in regions with many small holes. Zbl 0485.60076
Papanicolaou, G. C.; Varadhan, S. R. S.
25
1980
Theory and applications of time reversal and interferometric imaging. Zbl 1045.94500
Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula
25
2003
A random wave process. Zbl 0564.60061
Dawson, D. A.; Papanicolaou, G. C.
24
1984
Stochastic volatility corrections for interest rate derivatives. Zbl 1124.91331
Cotton, Peter; Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie
24
2004
Convection-enhanced diffusion for random flows. Zbl 0939.76079
Fannjiang, Albert; Papanicolaou, George
24
1997
Consensus convergence with stochastic effects. Zbl 1372.92118
Garnier, Josselin; Papanicolaou, George; Yang, Tzu-Wei
24
2017
Self-averaging from lateral diversity in the Itô-Schrödinger equation. Zbl 1143.35390
Papanicolaou, George; Ryzhik, Lenya; Sølna, Knut
23
2007
Wave propagation in bubbly liquids at finite volume fraction. Zbl 0604.76081
Caflisch, Russel E.; Miksis, Michael J.; Papanicolaou, George C.; Lu, Ting
23
1985
One-dimensional wave propagation in a highly discontinuous medium. Zbl 0626.73019
Burridge, Robert; Papanicolaou, George S.; White, Benjamin S.
23
1988
Adaptive interferometric imaging in clutter and optimal illumination. Zbl 1094.62119
Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula
23
2006
Diffusion in turbulence. Zbl 0847.60062
Fannjiang, Albert; Papanicolaou, George
22
1996
Enhanced statistical stability in coherent interferometric imaging. Zbl 1230.62129
Borcea, Liliana; Garnier, Josselin; Papanicolaou, George; Tsogka, Chrysoula
21
2011
Asymptotic analysis of stochastic equations. Zbl 0443.60049
Papanicolaou, G. C.
21
1978
A modulation method for self-focusing in the perturbed critical nonlinear Schrödinger equation. Zbl 0939.35174
Fibich, Gadi; Papanicolaou, George
21
1998
Wave propagation in a one dimensional random medium. Zbl 0205.56004
Papanicolaou, G.
21
1971
Asymptotic analysis of deterministic and stochastic equations with rapidly varying components. Zbl 0319.60037
Papanicolaou, George C.; Kohler, Werner
21
1975
Martingale approach to some limit theorems. Zbl 1316.60097
Papanicolaou, G. C.; Stroock, Daniel W.; Varadhan, S. R. S.
21
2012
Interferometric array imaging in clutter. Zbl 1074.62063
Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula
20
2005
Stochastic volatility, smile & asymptotics. Zbl 1009.91032
Sircar, K. Ronnie; Papanicolaou, George C.
20
1999
Pulse propagation and time reversal in random waveguides. Zbl 1127.76059
Garnier, Josselin; Papanicolaou, George
19
2007
Soliton perturbations and the random Kepler problem. Zbl 0936.35171
Abdullaev, F. Kh.; Bronski, J. C.; Papanicolaou, G.
19
2000
Maturity cycles in implied volatility. Zbl 1063.91066
Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie; Solna, Knut
19
2004
Radiative transport in a periodic structure. Zbl 0964.82048
Bal, Guillaume; Fannjiang, Albert; Papanicolaou, George; Ryzhik, Leonid
18
1999
Sur quelques phénomènes asymptotiques stationnaires. Zbl 0309.35007
Bensoussan, Alain; Lions, Jacques-Louis; Papanicolaou, Georges
18
1975
Edge illumination and imaging of extended reflectors. Zbl 1132.35496
Borcea, Liliana; Papanicolaou, George; Guevara Vasquez, Fernando
17
2008
Fine scale uncertainty in parameter estimation for elliptic equations. Zbl 1181.35337
Nolen, James; Papanicolaou, George
17
2009
Ray theory for a locally layered random medium. Zbl 0979.76075
Sølna, K.; Papanicolaou, G.
17
2000
Boundary layers for cellular flows at high Péclet numbers. Zbl 1112.76023
Novikov, Alexei; Papanicolaou, George; Ryzhik, Lenya
17
2005
Ornstein-Uhlenbeck process in a random potential. Zbl 0617.60078
Papanicolaou, G.; Varadhan, S. R. S.
16
1985
Water waves in shallow channels of rapidly varying depth. Zbl 0754.76011
Nachbin, A.; Papanicolaou, G. C.
15
1992
Robust imaging of localized scatterers using the singular value decomposition and \(\ell_1\) minimization. Zbl 1284.78007
Chai, A.; Moscoso, M.; Papanicolaou, G.
15
2013
Non-commuting random evolutions, and an operator-valued Feynman-Kac formula. Zbl 0232.60054
Hersh, R.; Papanicolaou, G.
14
1972
Eddy viscosity of cellular flows. Zbl 0997.76030
Novikov, Alexei; Papanicolaou, George
14
2001
Imaging strong localized scatterers with sparsity promoting optimization. Zbl 1298.49055
Chai, Anwei; Moscoso, Miguel; Papanicolaou, George
14
2014
Financial modeling in a fast mean-reverting stochastic volatility environment. Zbl 1157.91358
Fouque, Jean-Pierre; Papanicolaou, George; Sircar, K. Ronnie
13
1999
A nonlinear inversion method for 3D electromagnetic imaging using adjoint fields. Zbl 0943.35101
Dorn, O.; Bertete-Aguirre, H.; Berryman, J. G.; Papanicolaou, G. C.
13
1999
From the implied volatility skew to a robust correction to Black–Scholes American option prices. Zbl 1153.91495
Fouque, Jean-Pierre; Papanicolaou, George; Sircar, K. Ronnie
12
2001
Pulse stabilization in a strongly heterogeneous layered medium. Zbl 0926.74045
Lewicki, Pawel; Burridge, Robert; Papanicolaou, George
12
1994
Introduction to the asymptotic analysis of stochastic equations. Zbl 0376.60064
Papanicolaou, George C.
12
1977
Bounds for the effective conductivity of random media. Zbl 0496.73002
Kohler, W.; Papanicolaou, G. C.
11
1982
Boundary and interface problems in regions with very rough boundaries. Zbl 0467.73142
Kohler, W.; Papanicolaou, G.; Varadhan, S.
11
1981
Resolution analysis for imaging with noise. Zbl 1197.35320
Garnier, Josselin; Papanicolaou, George
11
2010
Stochastic differential equations with applications to random harmonic oscillators and wave propagation in random media. Zbl 0205.56003
Papanicolaou, G.; Keller, J. B.
11
1971
Network approximation for transport properties of high contrast materials. Zbl 0917.35137
Borcea, Liliana; Papanicolaou, George C.
11
1998
Transport theory for acoustic waves with reflection and transmission at interfaces. Zbl 1067.76605
Bal, Guillaume; Keller, Joseph B.; Papanicolaou, George; Ryzhik, Leonid
11
1999
Illumination strategies for intensity-only imaging. Zbl 1326.49057
Novikov, Alexei; Moscoso, Miguel; Papanicolaou, George
11
2015
Probing a random medium with a pulse. Zbl 0686.73027
Burridge, R.; Papanicolaou, G.; Sheng, P.; White, B.
10
1989
Surveys in Applied Mathematics. Vol. 1. Zbl 0834.00016
10
1995
A functional limit theorem for waves reflected by a random medium. Zbl 0813.60055
Papanicolaou, G.; Weinryb, S.
10
1994
Principal eigenportfolios for U.S. equities. Zbl 1497.91269
Avellaneda, Marco; Healy, Brian; Papanicolaou, Andrew; Papanicolaou, George
1
2022
Traveling waves in a mean field learning model. Zbl 1469.91033
Papanicolaou, George; Ryzhik, Lenya; Velcheva, Katerina
2
2021
Generalized correlation-based imaging for satellites. Zbl 1451.78020
Leibovich, Matan; Papanicolaou, George; Tsogka, Chrysoula
3
2020
Imaging with highly incomplete and corrupted data. Zbl 1451.90153
Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Tsogka, Chrysoula
2
2020
Synthetic aperture imaging and motion estimation using tensor methods. Zbl 1451.35242
Leibovich, Matan; Papanicolaou, George; Tsogka, Chrysoula
1
2020
Robust multifrequency imaging with MUSIC. Zbl 1486.94016
Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Tsogka, Chrysoula
5
2019
Mean field model for collective motion bistability. Zbl 1404.92223
Garnier, Josselin; Papanicolaou, George; Yang, Tzu-Wei
2
2019
Consensus convergence with stochastic effects. Zbl 1372.92118
Garnier, Josselin; Papanicolaou, George; Yang, Tzu-Wei
24
2017
Resolution analysis of passive synthetic aperture imaging of fast moving objects. Zbl 1364.78013
Borcea, L.; Garnier, J.; Papanicolaou, G.; Solna, K.; Tsogka, C.
4
2017
Multifrequency interferometric imaging with intensity-only measurements. Zbl 1382.49042
Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Tsogka, Chrysoula
4
2017
Matched-filter and correlation-based imaging for fast moving objects using a sparse network of receivers. Zbl 1434.78017
Fournier, J.; Garnier, J.; Papanicolaou, G.; Tsogka, C.
4
2017
Risk control of mean-reversion time in statistical arbitrage. Zbl 1409.91223
Yeo, Joongyeub; Papanicolaou, George
3
2017
A risk analysis for a system stabilized by a central agent. Zbl 1409.91295
Garnier, Josselin; Papanicolaou, George; Yang, Tzu-Wei
2
2017
A numerical study of super-resolution through fast 3D wideband algorithm for scattering in highly-heterogeneous media. Zbl 1524.35465
Létourneau, Pierre-David; Wu, Ying; Papanicolaou, George; Garnier, Josselin; Darve, Eric
2
2017
Time and direction of arrival detection and filtering for imaging in strongly scattering random media. Zbl 07659366
Borcea, L.; Papanicolaou, G.; Tsogka, C.
2
2017
Passive imaging with ambient noise. Zbl 1352.86001
Garnier, Josselin; Papanicolaou, George
27
2016
Synthetic aperture imaging of direction- and frequency-dependent reflectivities. Zbl 1335.49055
Borcea, Liliana; Moscoso, Miguel; Papanicolaou, George; Tsogka, Chrysoula
5
2016
Coherent imaging without phases. Zbl 1352.49033
Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George
4
2016
Array imaging of localized objects in homogeneous and heterogeneous media. Zbl 1430.94011
Chai, Anwei; Moscoso, Miguel; Papanicolaou, George
3
2016
Illumination strategies for intensity-only imaging. Zbl 1326.49057
Novikov, Alexei; Moscoso, Miguel; Papanicolaou, George
11
2015
Signal to noise ratio analysis in virtual source array imaging. Zbl 1323.35229
Garnier, Josselin; Papanicolaou, George; Semin, Adrien; Tsogka, Chrysoula
8
2015
Passive synthetic aperture imaging. Zbl 1336.78010
Garnier, Josselin; Papanicolaou, George
5
2015
Imaging strong localized scatterers with sparsity promoting optimization. Zbl 1298.49055
Chai, Anwei; Moscoso, Miguel; Papanicolaou, George
14
2014
Role of scattering in virtual source array imaging. Zbl 1323.35228
Garnier, Josselin; Papanicolaou, George
5
2014
Resolution enhancement from scattering in passive sensor imaging with cross correlations. Zbl 1316.35298
Garnier, Josselin; Papanicolaou, George
1
2014
Large deviations for a mean field model of systemic risk. Zbl 1283.60044
Garnier, Josselin; Papanicolaou, George; Yang, Tzu-Wei
49
2013
Robust imaging of localized scatterers using the singular value decomposition and \(\ell_1\) minimization. Zbl 1284.78007
Chai, A.; Moscoso, M.; Papanicolaou, G.
15
2013
Signal-to-noise ratio estimation in passive correlation-based imaging. Zbl 1282.35410
Garnier, Josselin; Papanicolaou, George; Semin, Adrien; Tsogka, Chrysoula
4
2013
Motion estimation and imaging of complex scenes with synthetic aperture radar. Zbl 1294.78009
Borcea, Liliana; Callaghan, Thomas; Papanicolaou, George
2
2013
Synthetic aperture radar imaging and motion estimation via robust principal component analysis. Zbl 1306.94007
Borcea, Liliana; Callaghan, Thomas; Papanicolaou, George
1
2013
Martingale approach to some limit theorems. Zbl 1316.60097
Papanicolaou, G. C.; Stroock, Daniel W.; Varadhan, S. R. S.
21
2012
Correlation-based virtual source imaging in strongly scattering random media. Zbl 1260.65090
Garnier, Josselin; Papanicolaou, George
10
2012
Boundary value problems with rapidly oscillating random coefficients. Zbl 1316.35306
Papanicolaou, G. C.; Varadhan, S. R. S.
6
2012
A differential equations approach to \(l_{1}\)-minimization with applications to array imaging. Zbl 1267.65069
Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Ryzhik, Lenya
5
2012
Filtering deterministic layer effects in imaging. Zbl 1254.35240
Borcea, L.; González del Cueto, F.; Papanicolaou, G.; Tsogka, C.
3
2012
Diffusion in regions with many small holes. Zbl 1316.60118
Papanicolaou, G. C.; Varadhan, S. R. S.
2
2012
Synthetic aperture radar imaging with motion estimation and autofocus. Zbl 1243.78016
Borcea, L.; Callaghan, T.; Papanicolaou, G.
1
2012
Asymptotic analysis for periodic structures. Reprint of the 1978 original with corrections and bibliographical additions. Zbl 1229.35001
Bensoussan, Alain; Lions, Jacques-Louis; Papanicolaou, George
215
2011
Multiscale stochastic volatility for equity, interest rate, and credit derivatives. Zbl 1248.91003
Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie; Sølna, Knut
161
2011
Array imaging using intensity-only measurements. Zbl 1207.78022
Chai, Anwei; Moscoso, Miguel; Papanicolaou, George
43
2011
Enhanced statistical stability in coherent interferometric imaging. Zbl 1230.62129
Borcea, Liliana; Garnier, Josselin; Papanicolaou, George; Tsogka, Chrysoula
21
2011
Adaptive time-frequency detection and filtering for imaging in heavy clutter. Zbl 1237.78001
Borcea, L.; Papanicolaou, G.; Tsogka, C.
5
2011
Coherent interferometric imaging, time gating and beamforming. Zbl 1231.94007
Borcea, Liliana; Garnier, Josselin; Papanicolaou, George; Tsogka, Chrysoula
4
2011
Detection and imaging in strongly backscattering randomly layered media. Zbl 1208.78011
Alonso, R.; Borcea, L.; Papanicolaou, G.; Tsogka, C.
4
2011
Resolution analysis for imaging with noise. Zbl 1197.35320
Garnier, Josselin; Papanicolaou, George
11
2010
Filtering random layering effects in imaging. Zbl 1197.35313
Borcea, L.; Del Cueto, F. González; Papanicolaou, G.; Tsogka, C.
4
2010
A universal filter for enhanced imaging with small arrays. Zbl 1190.94007
Borcea, Liliana; Callaghan, Thomas; Garnier, Josselin; Papanicolaou, George
4
2010
Passive sensor imaging using cross correlations of noisy signals in a scattering medium. Zbl 1179.35344
Garnier, Josselin; Papanicolaou, George
26
2009
Fine scale uncertainty in parameter estimation for elliptic equations. Zbl 1181.35337
Nolen, James; Papanicolaou, George
17
2009
Travel time estimation by cross correlation of noisy signals. Zbl 1169.35353
Garnier, Josselin; Papanicolaou, George
1
2009
Filtering deterministic layer effects in imaging. Zbl 1187.35274
Borcea, L.; González del Cueto, F.; Papanicolaou, G.; Tsogka, C.
1
2009
A framework for adaptive multiscale methods for elliptic problems. Zbl 1160.65342
Nolen, James; Papanicolaou, George; Pironneau, Olivier
34
2008
Edge illumination and imaging of extended reflectors. Zbl 1132.35496
Borcea, Liliana; Papanicolaou, George; Guevara Vasquez, Fernando
17
2008
Identification of Green’s functions singularities by cross correlation of noisy signals. Zbl 1145.35307
Bardos, Claude; Garnier, Josselin; Papanicolaou, George
8
2008
Adjoint fields and sensitivities for 3D electromagnetic imaging in isotropic and anisotropic media. Zbl 1234.86005
Dorn, Oliver; Bertete-Aguirre, Hugo; Papanicolaou, George C.
3
2008
Market influence of portfolio optimizers. Zbl 1134.91453
Nayak, Suhas; Papanicolaou, George
3
2008
Analysis of pulse propagation through a one-dimensional random medium using complex martingales. Zbl 1148.60041
Garnier, Josselin; Papanicolaou, George
3
2008
Wave propagation and time reversal in randomly layered media. Zbl 1386.74001
Fouque, Jean-Pierre; Garnier, Josselin; Papanicolaou, George; Sølna, Knut
155
2007
Self-averaging from lateral diversity in the Itô-Schrödinger equation. Zbl 1143.35390
Papanicolaou, George; Ryzhik, Lenya; Sølna, Knut
23
2007
Pulse propagation and time reversal in random waveguides. Zbl 1127.76059
Garnier, Josselin; Papanicolaou, George
19
2007
Asymptotics for the space-time Wigner transform with applications to imaging. Zbl 1137.35084
Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula
6
2007
Optimal waveform design for array imaging. Zbl 1133.94009
Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula
5
2007
Adaptive interferometric imaging in clutter and optimal illumination. Zbl 1094.62119
Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula
23
2006
Efficient numerical simulation for long range wave propagation. Zbl 1090.76053
Huang, Kai; Papanicolaou, George; Solna, Knut; Tsogka, Chrysoula; Zhao, Hongkai
4
2006
Resolution and denoising in near-field imaging. Zbl 1112.76067
Derveaux, Grégoire; Papanicolaou, George; Tsogka, Chrysoula
2
2006
Coherent interferometry in finely layered random media. Zbl 1115.35308
Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula
1
2006
Interferometric array imaging in clutter. Zbl 1074.62063
Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula
20
2005
Boundary layers for cellular flows at high Péclet numbers. Zbl 1112.76023
Novikov, Alexei; Papanicolaou, George; Ryzhik, Lenya
17
2005
Characterization of space-time focusing in time-reversed random fields. Zbl 1369.78116
Oestges, Claude; Kim, Arnold D.; Papanicolaou, George; Paulraj, Arogyaswami J.
1
2005
Multiscale stochastic volatility asymptotics. Zbl 1074.91015
Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie; Solna, Knut
83
2004
Statistical stability in time reversal. Zbl 1065.35058
Papanicolaou, George; Ryzhik, Leonid; Solna, Knut
29
2004
Stochastic volatility corrections for interest rate derivatives. Zbl 1124.91331
Cotton, Peter; Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie
24
2004
Maturity cycles in implied volatility. Zbl 1063.91066
Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie; Solna, Knut
19
2004
A celebration of mathematical modeling. The Joseph B. Keller anniversary volume. Zbl 1077.00010
3
2004
Singular perturbations in option pricing. Zbl 1039.91024
Fouque, J.-P.; Papanicolaou, G.; Sircar, R.; Solna, K.
82
2003
Theory and applications of time reversal and interferometric imaging. Zbl 1045.94500
Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula
25
2003
Wavelet based estimation of local Kolmogorov turbulence. Zbl 1032.62089
Papanicolaou, George C.; Sølna, Knut
7
2003
High frequency behavior of the focusing nonlinear Schrödinger equation with random inhomogeneities. Zbl 1037.35079
Fannjiang, Albert; Jin, Shi; Papanicolaou, George
6
2003
A resolution study for imaging and time reversal in random media. Zbl 1045.94002
Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula
4
2003
Self-focusing with fourth-order dispersion. Zbl 1003.35112
Fibich, Gadi; Ilan, Boaz; Papanicolaou, George
126
2002
Imaging and time reversal in random media. Zbl 1047.74032
Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula; Berryman, James
50
2002
Radiative transport limit for the random Schrödinger equation. Zbl 0999.60061
Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid
35
2002
Self-averaging in time reversal for the parabolic wave equation. Zbl 1020.35126
Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid
27
2002
Sensitivity analysis of a nonlinear inversion method for 3D electromagnetic imaging in anisotropic media. Zbl 0997.78009
Dorn, O.; Bertete-Aguirre, H.; Berryman, J. G.; Papanicolaou, G. C.
6
2002
The parabolic wave approximation and time reversal. Zbl 1027.76049
Papanicolaou, George; Ryzhik, Leonid; Sølna, Knut
3
2002
Time reversal through a solid-liquid interface and super-resolution. Zbl 1092.76530
Borcea, Liliana; Tsogka, Chrysoula; Papanicolaou, George C.
2
2002
Variational principles for propagation speeds in inhomogeneous media. Zbl 0995.35031
Heinze, S.; Papanicolaou, G.; Stevens, A.
42
2001
Eddy viscosity of cellular flows. Zbl 0997.76030
Novikov, Alexei; Papanicolaou, George
14
2001
From the implied volatility skew to a robust correction to Black–Scholes American option prices. Zbl 1153.91495
Fouque, Jean-Pierre; Papanicolaou, George; Sircar, K. Ronnie
12
2001
Stochastic volatility and epsilon-martingale decomposition. Zbl 1138.91441
Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie
3
2001
Derivatives in financial markets with stochastic volatility. Zbl 0954.91025
Fouque, Jean-Pierre; Papanicolaou, George; Sircar, K. Ronnie
336
2000
Mean-reverting stochastic volatility. Zbl 1153.91497
Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie
51
2000
Soliton perturbations and the random Kepler problem. Zbl 0936.35171
Abdullaev, F. Kh.; Bronski, J. C.; Papanicolaou, G.
19
2000
Ray theory for a locally layered random medium. Zbl 0979.76075
Sølna, K.; Papanicolaou, G.
17
2000
Probabilistic theory of transport processes with polarization. Zbl 0963.60081
Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid
6
2000
Self-focusing in the perturbed and unperturbed nonlinear Schrödinger equation in critical dimension. Zbl 1026.78013
Fibich, Gadi; Papanicolaou, George
78
1999
Stochastic volatility, smile & asymptotics. Zbl 1009.91032
Sircar, K. Ronnie; Papanicolaou, George C.
20
1999
Radiative transport in a periodic structure. Zbl 0964.82048
Bal, Guillaume; Fannjiang, Albert; Papanicolaou, George; Ryzhik, Leonid
18
1999
Financial modeling in a fast mean-reverting stochastic volatility environment. Zbl 1157.91358
Fouque, Jean-Pierre; Papanicolaou, George; Sircar, K. Ronnie
13
1999
A nonlinear inversion method for 3D electromagnetic imaging using adjoint fields. Zbl 0943.35101
Dorn, O.; Bertete-Aguirre, H.; Berryman, J. G.; Papanicolaou, G. C.
13
1999
...and 133 more Documents
all top 5

Cited by 5,837 Authors

75 Garnier, Josselin
61 Papanicolaou, George C.
44 Cui, Junzhi
42 Sølna, Knut
42 Suslina, Tat’yana Aleksandrovna
36 Abdulle, Assyr
36 Fouque, Jean-Pierre
36 Kim, Jeong-Hoon
33 Bal, Guillaume
30 Ammari, Habib
30 Borcea, Liliana
29 Allaire, Grégoire
28 Ryzhik, Lenya
26 Piatnitski, Andrey L.
25 Cao, Liqun
24 Gloria, Antoine
24 Komorowski, Tomasz
24 Le Bris, Claude
24 Pastukhova, Svetlana Evgenievna
24 Pavliotis, Grigorios A.
23 Jin, Shi
23 Spiliopoulos, Konstantinos V.
21 Legoll, Frédéric
21 Rodríguez-Ramos, Reinaldo
21 Xin, Jack X.
19 Donato, Patrizia
19 Tsogka, Chrysoula
18 Kolpakov, Alexander G.
18 Sircar, Ronnie
18 Yoon, Ji-Hun
17 Fannjiang, Albert C.
17 Stuart, Andrew M.
17 Yang, Zhiqiang
16 Andrianov, Igor Vasil’evich
16 Dong, Hao
16 Mourrat, Jean-Christophe
16 Novikov, Alexei
16 Sini, Mourad
15 Bravo-Castillero, Julián
15 Briane, Marc
15 Chung, Tsz Shun Eric
15 Conca, Carlos
15 Efendiev, Yalchin R.
15 Fibich, Gadi
15 Li, Qin
15 Murat, François
15 Olla, Stefano
15 Otto, Felix
15 Penta, Raimondo
15 Yang, Zihao
15 Yin, Gang George
14 Duerinckx, Mitia
14 Fish, Jacob
14 Ma, Qiang
14 Nachbin, André
13 Chechkin, Gregory Aleksandrovich
13 Goudon, Thierry
13 Kalamkarov, Alexander L.
13 Lu, Jianfeng
13 Pinaud, Olivier
13 Sulem, Catherine
13 Vanninathan, Muthusamy
12 Amirat, Youcef Aït
12 Armstrong, Scott N.
12 Blanc, Xavier
12 Gonçalves, Patrícia C.
12 Guinovart-Díaz, Raúl
12 Guo, Cuihua
12 Hoang, Viet Ha
12 Hou, Thomas Yizhao
11 Avellaneda, Marco
11 Cherednichenko, Kirill D.
11 de Hoop, Maarten V.
11 Geng, Jun
11 Klar, Axel
11 Landim, Claudio
11 Lee, Min-Ku
11 Lions, Pierre-Louis
11 Moscoso, Miguel
11 Neukamm, Stefan
11 Pardoux, Etienne
11 Sun, Yi
11 Yin, George Gang
10 Arrieta, José M.
10 Berlyand, Leonid V.
10 Dobrokhotov, Sergei Yurievich
10 Georgiades, Anastasis V.
10 Golse, François
10 Jara, Milton D.
10 Kushner, Harold J.
10 Leung, Wingtat
10 Lorig, Matthew J.
10 Pereira, Marcone Corrêa
10 Ramírez-Torres, Ariel
10 Sabina, Federico J.
10 Shen, Zhongwei
10 Visintin, Augusto
10 Wong, Hoi Ying
10 Zhu, Songping
9 Auriault, Jean-Louis
...and 5,737 more Authors
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Cited in 521 Serials

156 Computer Methods in Applied Mechanics and Engineering
149 Journal of Computational Physics
111 Multiscale Modeling & Simulation
99 Journal of Differential Equations
98 Physica D
93 Journal of Statistical Physics
91 Archive for Rational Mechanics and Analysis
89 Communications in Mathematical Physics
87 Journal of Mathematical Analysis and Applications
86 Stochastic Processes and their Applications
82 Wave Motion
66 Journal of Mathematical Physics
59 International Journal of Engineering Science
57 SIAM Journal on Applied Mathematics
54 Quantitative Finance
51 Journal of Fluid Mechanics
51 SIAM Journal on Mathematical Analysis
51 International Journal of Theoretical and Applied Finance
48 Journal of Computational and Applied Mathematics
48 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
45 Journal de Mathématiques Pures et Appliquées. Neuvième Série
44 Journal of the Mechanics and Physics of Solids
43 Inverse Problems
43 The Annals of Probability
43 European Journal of Mechanics. A. Solids
40 International Journal for Numerical Methods in Engineering
39 Mathematical Methods in the Applied Sciences
38 Computers & Mathematics with Applications
38 Comptes Rendus. Mathématique. Académie des Sciences, Paris
36 Applied Mathematics and Computation
36 Journal of Functional Analysis
36 Journal of Mathematical Sciences (New York)
35 The Annals of Applied Probability
35 Communications in Partial Differential Equations
35 SIAM Journal on Imaging Sciences
34 Probability Theory and Related Fields
33 Applicable Analysis
33 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
33 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
31 Computational Mechanics
31 Applied Mathematical Finance
30 Communications on Pure and Applied Mathematics
30 Applied Mathematics and Optimization
30 Mathematical Finance
27 Mathematics and Computers in Simulation
27 St. Petersburg Mathematical Journal
27 Mathematics and Mechanics of Solids
27 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
26 Annali di Matematica Pura ed Applicata. Serie Quarta
26 Stochastics and Dynamics
26 SIAM Journal on Financial Mathematics
25 Acta Mechanica
25 Chaos, Solitons and Fractals
25 RAIRO. Modélisation Mathématique et Analyse Numérique
24 Calculus of Variations and Partial Differential Equations
23 Mathematical Notes
23 Transactions of the American Mathematical Society
23 Physics of Fluids
23 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
22 Applied Mathematics Letters
22 SIAM Journal on Scientific Computing
21 Nonlinearity
21 Mathematics of Computation
21 Stochastic Analysis and Applications
21 Waves in Random and Complex Media
20 Physica A
20 ZAMP. Zeitschrift für angewandte Mathematik und Physik
20 Applied Numerical Mathematics
20 Discrete and Continuous Dynamical Systems
20 Finance and Stochastics
19 Journal of Scientific Computing
19 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
19 Discrete and Continuous Dynamical Systems. Series B
19 Nonlinear Analysis. Theory, Methods & Applications
18 Applications of Mathematics
18 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
18 Networks and Heterogeneous Media
17 SIAM Journal on Control and Optimization
17 Journal of Elasticity
16 Numerische Mathematik
16 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
16 Inverse Problems and Imaging
15 Meccanica
15 Asymptotic Analysis
15 Applied Mathematical Modelling
14 Journal of Applied Mathematics and Mechanics
14 Functional Analysis and its Applications
14 Journal of Optimization Theory and Applications
14 Quarterly of Applied Mathematics
14 SIAM Journal on Numerical Analysis
14 Acta Applicandae Mathematicae
14 Applied and Computational Harmonic Analysis
14 Electronic Journal of Probability
14 Communications on Pure and Applied Analysis
14 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
13 Physics Letters. A
13 Transport Theory and Statistical Physics
13 Insurance Mathematics & Economics
13 Mathematical and Computer Modelling
13 European Journal of Applied Mathematics
...and 421 more Serials
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Cited in 50 Fields

2,412 Partial differential equations (35-XX)
1,193 Probability theory and stochastic processes (60-XX)
965 Mechanics of deformable solids (74-XX)
818 Numerical analysis (65-XX)
738 Fluid mechanics (76-XX)
575 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
481 Statistical mechanics, structure of matter (82-XX)
313 Optics, electromagnetic theory (78-XX)
251 Calculus of variations and optimal control; optimization (49-XX)
175 Ordinary differential equations (34-XX)
170 Systems theory; control (93-XX)
154 Statistics (62-XX)
148 Dynamical systems and ergodic theory (37-XX)
146 Biology and other natural sciences (92-XX)
137 Quantum theory (81-XX)
133 Operator theory (47-XX)
106 Classical thermodynamics, heat transfer (80-XX)
76 Geophysics (86-XX)
76 Operations research, mathematical programming (90-XX)
75 Integral equations (45-XX)
72 Information and communication theory, circuits (94-XX)
55 Harmonic analysis on Euclidean spaces (42-XX)
47 Mechanics of particles and systems (70-XX)
46 Computer science (68-XX)
45 Approximations and expansions (41-XX)
45 Functional analysis (46-XX)
39 Global analysis, analysis on manifolds (58-XX)
33 Potential theory (31-XX)
20 Real functions (26-XX)
19 Measure and integration (28-XX)
17 General and overarching topics; collections (00-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
11 Astronomy and astrophysics (85-XX)
10 Special functions (33-XX)
10 Differential geometry (53-XX)
9 Topological groups, Lie groups (22-XX)
9 Difference and functional equations (39-XX)
8 Integral transforms, operational calculus (44-XX)
8 General topology (54-XX)
7 Combinatorics (05-XX)
7 Functions of a complex variable (30-XX)
6 History and biography (01-XX)
6 Relativity and gravitational theory (83-XX)
5 Algebraic geometry (14-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Abstract harmonic analysis (43-XX)
2 Mathematical logic and foundations (03-XX)
2 Group theory and generalizations (20-XX)
2 Convex and discrete geometry (52-XX)
1 Sequences, series, summability (40-XX)

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