Edit Profile (opens in new tab) Papanicolaou, George C. Compute Distance To: Compute Author ID: papanicolaou.george-c Published as: Papanicolaou, George; Papanicolaou, G.; Papanicolaou, George C.; Papanicolaou, G. C.; Papanicolaou, Georges; Papanicolaou, George S. more...less Homepage: http://math.stanford.edu/~papanico/ External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 263 Publications since 1971, including 7 Books 14 Contributions as Editor Co-Authors: 126 Co-Authors with 249 Joint Publications 3,632 Co-Co-Authors all top 5 Co-Authors 25 single-authored 34 Tsogka, Chrysoula 32 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 6 Bal, Guillaume 6 Fannjiang, Albert C. 6 Sircar, K. Ronnie 6 Sulem, Catherine 6 Sulem, Pierre-Louis 6 Yang, Tzu-Wei 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 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 M. 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 F. 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. 1 Nayak, Suhas ...and 27 more Co-Authors all top 5 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 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 Stochastic Modelling and Applied Probability 1 Inverse Problems and Imaging all top 5 Fields 111 Probability theory and stochastic processes (60-XX) 110 Partial differential equations (35-XX) 50 Fluid mechanics (76-XX) 46 Mechanics of deformable solids (74-XX) 46 Optics, electromagnetic theory (78-XX) 27 Information and communication theory, circuits (94-XX) 26 Statistical mechanics, structure of matter (82-XX) 23 Numerical analysis (65-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Geophysics (86-XX) 15 General and overarching topics; collections (00-XX) 15 Statistics (62-XX) 12 Ordinary differential equations (34-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 6 Systems theory; control (93-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Computer science (68-XX) 5 Biology and other natural sciences (92-XX) 4 Operations research, mathematical programming (90-XX) 3 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 218 Publications have been cited 5,183 times in 3,853 Documents Cited by ▼ Year ▼ Asymptotic analysis for periodic structures. Zbl 0404.35001Bensoussan, Alain; Lions, Jacques-Louis; Papanicolaou, George 827 1978 Boundary layer analysis in homogeneization of diffusion equations with Dirichlet conditions in the half space. Zbl 0411.60078Bensoussan, A.; Lions, J. L.; Papanicolaou, G. 540 1978 Derivatives in financial markets with stochastic volatility. Zbl 0954.91025Fouque, Jean-Pierre; Papanicolaou, George; Sircar, K. Ronnie 284 2000 Multiscale stochastic volatility for equity, interest rate, and credit derivatives. Zbl 1248.91003Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie; Sølna, Knut 130 2011 Wave propagation and time reversal in randomly layered media. Zbl 1386.74001Fouque, Jean-Pierre; Garnier, Josselin; Papanicolaou, George; Sølna, Knut 122 2007 Nonlinear diffusion limit for a system with nearest neighbor interactions. Zbl 0652.60107Guo, M. Z.; Papanicolaou, G. C.; Varadhan, S. R. S. 111 1988 Boundary layers and homogenization of transport processes. Zbl 0408.60100Bensoussan, Alain; Lions, Jacques L.; Papanicolaou, George C. 99 1979 Transport equations for elastic and other waves in random media. Zbl 0954.74533Ryzhik, Leonid; Papanicolaou, George; Keller, Joseph B. 96 1996 Self-focusing with fourth-order dispersion. Zbl 1003.35112Fibich, Gadi; Ilan, Boaz; Papanicolaou, George 95 2002 Asymptotic analysis for periodic structures. Reprint of the 1978 original with corrections and bibliographical additions. Zbl 1229.35001Bensoussan, Alain; Lions, Jacques-Louis; Papanicolaou, George 90 2011 Convection enhanced diffusion for periodic flows. Zbl 0796.76084Fannjiang, Albert; Papanicolaou, George 78 1994 Boundary value problems with rapidly oscillating random coefficients. Zbl 0499.60059Papanicolaou, G. C.; Varadhan, S. R. S. 76 1981 Multiscale stochastic volatility asymptotics. Zbl 1074.91015Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie; Solna, Knut 74 2004 Singular perturbations in option pricing. Zbl 1039.91024Fouque, J.-P.; Papanicolaou, G.; Sircar, R.; Solna, K. 72 2003 Asymptotic theory of mixing stochastic ordinary differential equations. Zbl 0288.60056Papanicolaou, G. C.; Kohler, W. 70 1974 Martingale approach to some limit theorems. Zbl 0387.60067Papanicolaou, G. C.; Stroock, Daniel W.; Varadhan, S. R. S. 65 1977 Stability and control of stochastic systems with wide-band noise disturbances. I. Zbl 0392.93040Blankenship, G.; Papanicolaou, G. C. 65 1978 Self-focusing in the perturbed and unperturbed nonlinear Schrödinger equation in critical dimension. Zbl 1026.78013Fibich, Gadi; Papanicolaou, George 64 1999 Asymptotic analysis of transport processes. Zbl 0361.60056Papanicolaou, George C. 58 1975 General Black-Scholes models accounting for increased market volatility from hedging strategies. Zbl 1009.91023Sircar, K. Ronnie; Papanicolaou, George 49 1998 A limit theorem for turbulent diffusion. Zbl 0399.60049Kesten, H.; Papanicolaou, G. C. 48 1979 Imaging and time reversal in random media. Zbl 1047.74032Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula; Berryman, James 44 2002 Asymptotic analysis of the Lyapunov exponent and rotation number of the random oscillator and applications. Zbl 0603.60051Arnold, Ludwig; Papanicolaou, George; Wihstutz, Volker 43 1986 The fluid-dynamical limit of a nonlinear model Boltzmann equation. Zbl 0438.76059Caflisch, Russel E.; Papanicolaou, George C. 42 1979 Frequency content of randomly scattered signals. Zbl 0736.60055Asch, M.; Kohler, W.; Papanicolaou, G.; Postel, M.; White, B. 42 1991 Mean-reverting stochastic volatility. Zbl 1153.91497Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie 41 2000 Array imaging using intensity-only measurements. Zbl 1207.78022Chai, Anwei; Moscoso, Miguel; Papanicolaou, George 40 2011 Effective equations for wave propagation in bubbly liquids. Zbl 0605.76110Caflisch, Russel E.; Miksis, Michael J.; Papanicolaou, George C.; Ting, Lu 38 1985 Large deviations for a mean field model of systemic risk. Zbl 1283.60044Garnier, Josselin; Papanicolaou, George; Yang, Tzu-Wei 38 2013 Convection of microstructure and related problems. Zbl 0622.76062McLaughlin, D. W.; Papanicolaou, G. C.; Pironneau, O. R. 38 1985 Variational principles for propagation speeds in inhomogeneous media. Zbl 0995.35031Heinze, S.; Papanicolaou, G.; Stevens, A. 37 2001 Dynamic theory of suspensions with Brownian effects. Zbl 0543.76133Caflisch, R.; Papanicolaou, G. C. 37 1983 Diffusions with random coefficients. Zbl 0486.60076Papanicolaou, George C.; Varadhan, S. R. S. 37 1982 Adaptive covariance estimation of locally stationary processes. Zbl 0949.62082Mallat, Stéphane; Papanicolaou, George; Zhang, Zhifeng 35 1998 Radiative transport limit for the random Schrödinger equation. Zbl 0999.60061Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid 32 2002 A wavelet based space-time adaptive numerical method for partial differential equations. Zbl 0768.65062Bacry, E.; Mallat, S.; Papanicolaou, G. 31 1992 The focusing singularity of the nonlinear Schrödinger equation. Zbl 0659.35020LeMesurier, B.; Papanicolaou, G.; Sulem, C.; Sulem, P.-L. 31 1987 A limit theorem for stochastic acceleration. Zbl 0454.60007Kesten, H.; Papanicolaou, G. C. 29 1980 A framework for adaptive multiscale methods for elliptic problems. Zbl 1160.65342Nolen, James; Papanicolaou, George; Pironneau, Olivier 29 2008 Local structure of the self-focusing singularity of the nonlinear Schrödinger equation. Zbl 0694.35206LeMesurier, B. J.; Papanicolaou, G. C.; Sulem, C.; Sulem, P. L. 28 1988 Self-averaging in time reversal for the parabolic wave equation. Zbl 1020.35126Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid 27 2002 Statistical stability in time reversal. Zbl 1065.35058Papanicolaou, George; Ryzhik, Leonid; Solna, Knut 27 2004 Some probabilistic problems and methods in singular perturbations. Zbl 0365.60049Papanicolaou, George C. 27 1976 Focusing and multi-focusing solutions of the nonlinear Schrödinger equation. Zbl 0694.35196LeMesurier, B. J.; Papanicolaou, G.; Sulem, C.; Sulem, P. L. 27 1988 The focusing singularity of the Davey-Stewartson equations for gravity- capillary surface waves. Zbl 0815.35104Papanicolaou, G. C.; Sulem, C.; Sulem, P. L.; Wang, X. P. 26 1994 A limit theorem with strong mixing in Banach space and two applications to stochastic differential equations. Zbl 0253.60065Papanicolaou, G. C.; Varadhan, S. R. S. 26 1973 One-dimensional wave propagation in a highly discontinuous medium. Zbl 0626.73019Burridge, Robert; Papanicolaou, George S.; White, Benjamin S. 23 1988 Stochastic volatility corrections for interest rate derivatives. Zbl 1124.91331Cotton, Peter; Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie 22 2004 Convection-enhanced diffusion for random flows. Zbl 0939.76079Fannjiang, Albert; Papanicolaou, George 22 1997 Passive sensor imaging using cross correlations of noisy signals in a scattering medium. Zbl 1179.35344Garnier, Josselin; Papanicolaou, George 22 2009 Adaptive interferometric imaging in clutter and optimal illumination. Zbl 1094.62119Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula 22 2006 A random wave process. Zbl 0564.60061Dawson, D. A.; Papanicolaou, G. C. 22 1984 Gravity waves in a channel with a rough bottom. Zbl 0516.76018Rosales, Rodolfo R.; Papanicolaou, George C. 22 1983 Stability of isotropic singularities for the nonlinear Schrödinger equation. Zbl 0728.35116Landman, M. J.; Papanicolaou, G. C.; Sulem, C.; Sulem, P. L.; Wang, X. P. 21 1991 Self-averaging from lateral diversity in the Itô-Schrödinger equation. Zbl 1143.35390Papanicolaou, George; Ryzhik, Lenya; Sølna, Knut 21 2007 Theory and applications of time reversal and interferometric imaging. Zbl 1045.94500Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula 20 2003 Diffusion in random media. Zbl 0846.60081Papanicolaou, George C. 20 1995 Diffusion in turbulence. Zbl 0847.60062Fannjiang, Albert; Papanicolaou, George 20 1996 Passive imaging with ambient noise. Zbl 1352.86001Garnier, Josselin; Papanicolaou, George 20 2016 Asymptotic analysis of deterministic and stochastic equations with rapidly varying components. Zbl 0319.60037Papanicolaou, George C.; Kohler, Werner 20 1975 Interferometric array imaging in clutter. Zbl 1074.62063Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula 19 2005 Wave propagation in bubbly liquids at finite volume fraction. Zbl 0604.76081Caflisch, Russel E.; Miksis, Michael J.; Papanicolaou, George C.; Lu, Ting 19 1985 Stochastic volatility, smile & asymptotics. Zbl 1009.91032Sircar, K. Ronnie; Papanicolaou, George C. 18 1999 Enhanced statistical stability in coherent interferometric imaging. Zbl 1230.62129Borcea, Liliana; Garnier, Josselin; Papanicolaou, George; Tsogka, Chrysoula 18 2011 Pulse propagation and time reversal in random waveguides. Zbl 1127.76059Garnier, Josselin; Papanicolaou, George 18 2007 Martingale approach to some limit theorems. Zbl 1316.60097Papanicolaou, G. C.; Stroock, Daniel W.; Varadhan, S. R. S. 18 2012 Diffusion in regions with many small holes. Zbl 0485.60076Papanicolaou, G. C.; Varadhan, S. R. S. 18 1980 Ray theory for a locally layered random medium. Zbl 0979.76075Sølna, K.; Papanicolaou, G. 17 2000 Radiative transport in a periodic structure. Zbl 0964.82048Bal, Guillaume; Fannjiang, Albert; Papanicolaou, George; Ryzhik, Leonid 17 1999 Maturity cycles in implied volatility. Zbl 1063.91066Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie; Solna, Knut 16 2004 Soliton perturbations and the random Kepler problem. Zbl 0936.35171Abdullaev, F. Kh.; Bronski, J. C.; Papanicolaou, G. 16 2000 Wave propagation in a one dimensional random medium. Zbl 0205.56004Papanicolaou, G. 16 1971 Robust imaging of localized scatterers using the singular value decomposition and \(\ell_1\) minimization. Zbl 1284.78007Chai, A.; Moscoso, M.; Papanicolaou, G. 15 2013 Ornstein-Uhlenbeck process in a random potential. Zbl 0617.60078Papanicolaou, G.; Varadhan, S. R. S. 15 1985 Edge illumination and imaging of extended reflectors. Zbl 1132.35496Borcea, Liliana; Papanicolaou, George; Guevara Vasquez, Fernando 15 2008 A modulation method for self-focusing in the perturbed critical nonlinear Schrödinger equation. Zbl 0939.35174Fibich, Gadi; Papanicolaou, George 14 1998 Consensus convergence with stochastic effects. Zbl 1372.92118Garnier, Josselin; Papanicolaou, George; Yang, Tzu-Wei 14 2017 Sur quelques phénomènes asymptotiques stationnaires. Zbl 0309.35007Bensoussan, Alain; Lions, Jacques-Louis; Papanicolaou, Georges 14 1975 Imaging strong localized scatterers with sparsity promoting optimization. Zbl 1298.49055Chai, Anwei; Moscoso, Miguel; Papanicolaou, George 14 2014 Eddy viscosity of cellular flows. Zbl 0997.76030Novikov, Alexei; Papanicolaou, George 13 2001 Fine scale uncertainty in parameter estimation for elliptic equations. Zbl 1181.35337Nolen, James; Papanicolaou, George 13 2009 Boundary layers for cellular flows at high Péclet numbers. Zbl 1112.76023Novikov, Alexei; Papanicolaou, George; Ryzhik, Lenya 12 2005 Non-commuting random evolutions, and an operator-valued Feynman-Kac formula. Zbl 0232.60054Hersh, R.; Papanicolaou, G. 12 1972 Boundary and interface problems in regions with very rough boundaries. Zbl 0467.73142Kohler, W.; Papanicolaou, G.; Varadhan, S. 11 1981 Water waves in shallow channels of rapidly varying depth. Zbl 0754.76011Nachbin, A.; Papanicolaou, G. C. 11 1992 Pulse stabilization in a strongly heterogeneous layered medium. Zbl 0926.74045Lewicki, Pawel; Burridge, Robert; Papanicolaou, George 11 1994 Financial modeling in a fast mean-reverting stochastic volatility environment. Zbl 1157.91358Fouque, Jean-Pierre; Papanicolaou, George; Sircar, K. Ronnie 11 1999 From the implied volatility skew to a robust correction to Black–Scholes American option prices. Zbl 1153.91495Fouque, Jean-Pierre; Papanicolaou, George; Sircar, K. Ronnie 11 2001 Stochastic differential equations with applications to random harmonic oscillators and wave propagation in random media. Zbl 0205.56003Papanicolaou, G.; Keller, J. B. 11 1971 Illumination strategies for intensity-only imaging. Zbl 1326.49057Novikov, Alexei; Moscoso, Miguel; Papanicolaou, George 11 2015 Probing a random medium with a pulse. Zbl 0686.73027Burridge, R.; Papanicolaou, G.; Sheng, P.; White, B. 10 1989 Correlation-based virtual source imaging in strongly scattering random media. Zbl 1260.65090Garnier, Josselin; Papanicolaou, George 10 2012 Transport theory for acoustic waves with reflection and transmission at interfaces. Zbl 1067.76605Bal, Guillaume; Keller, Joseph B.; Papanicolaou, George; Ryzhik, Leonid 9 1999 A nonlinear inversion method for 3D electromagnetic imaging using adjoint fields. Zbl 0943.35101Dorn, O.; Bertete-Aguirre, H.; Berryman, J. G.; Papanicolaou, G. C. 9 1999 Motion in a Gaussian incompressible flow. Zbl 0880.60063Komorowski, Tomasz; Papanicolaou, George 9 1997 High-contrast impedance tomography. Zbl 0862.35137Borcea, Liliana; Berryman, James G.; Papanicolaou, George C. 9 1996 Statistics for pulse reflection from a randomly layered medium. Zbl 0625.73038Burridge, R.; Papanicolaou, G.; White, B. 9 1987 Bounds for the effective conductivity of random media. Zbl 0496.73002Kohler, W.; Papanicolaou, G. C. 9 1982 Mean field and Gaussian approximation for partial differential equations with random coefficients. Zbl 0498.60066Figari, R.; Orlandi, E.; Papanicolaou, G. 9 1982 Some limit theorems for stochastic equations and applications. Zbl 0222.60037Papanicolaou, George C.; Hersh, R. 9 1972 Traveling waves in a mean field learning model. Zbl 1469.91033Papanicolaou, George; Ryzhik, Lenya; Velcheva, Katerina 1 2021 Generalized correlation-based imaging for satellites. Zbl 1451.78020Leibovich, Matan; Papanicolaou, George; Tsogka, Chrysoula 3 2020 Imaging with highly incomplete and corrupted data. Zbl 1451.90153Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Tsogka, Chrysoula 1 2020 Robust multifrequency imaging with MUSIC. Zbl 1486.94016Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Tsogka, Chrysoula 5 2019 Mean field model for collective motion bistability. Zbl 1404.92223Garnier, Josselin; Papanicolaou, George; Yang, Tzu-Wei 1 2019 Consensus convergence with stochastic effects. Zbl 1372.92118Garnier, Josselin; Papanicolaou, George; Yang, Tzu-Wei 14 2017 Resolution analysis of passive synthetic aperture imaging of fast moving objects. Zbl 1364.78013Borcea, L.; Garnier, J.; Papanicolaou, G.; Solna, K.; Tsogka, C. 4 2017 Multifrequency interferometric imaging with intensity-only measurements. Zbl 1382.49042Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Tsogka, Chrysoula 4 2017 Risk control of mean-reversion time in statistical arbitrage. Zbl 1409.91223Yeo, Joongyeub; Papanicolaou, George 3 2017 Matched-filter and correlation-based imaging for fast moving objects using a sparse network of receivers. Zbl 1434.78017Fournier, J.; Garnier, J.; Papanicolaou, G.; Tsogka, C. 3 2017 A numerical study of super-resolution through fast 3D wideband algorithm for scattering in highly-heterogeneous media. Zbl 07210743Létourneau, Pierre-David; Wu, Ying; Papanicolaou, George; Garnier, Josselin; Darve, Eric 2 2017 A risk analysis for a system stabilized by a central agent. Zbl 1409.91295Garnier, Josselin; Papanicolaou, George; Yang, Tzu-Wei 2 2017 Passive imaging with ambient noise. Zbl 1352.86001Garnier, Josselin; Papanicolaou, George 20 2016 Synthetic aperture imaging of direction- and frequency-dependent reflectivities. Zbl 1335.49055Borcea, Liliana; Moscoso, Miguel; Papanicolaou, George; Tsogka, Chrysoula 5 2016 Coherent imaging without phases. Zbl 1352.49033Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George 4 2016 Array imaging of localized objects in homogeneous and heterogeneous media. Zbl 1430.94011Chai, Anwei; Moscoso, Miguel; Papanicolaou, George 3 2016 Illumination strategies for intensity-only imaging. Zbl 1326.49057Novikov, Alexei; Moscoso, Miguel; Papanicolaou, George 11 2015 Signal to noise ratio analysis in virtual source array imaging. Zbl 1323.35229Garnier, Josselin; Papanicolaou, George; Semin, Adrien; Tsogka, Chrysoula 7 2015 Passive synthetic aperture imaging. Zbl 1336.78010Garnier, Josselin; Papanicolaou, George 5 2015 Imaging strong localized scatterers with sparsity promoting optimization. Zbl 1298.49055Chai, Anwei; Moscoso, Miguel; Papanicolaou, George 14 2014 Role of scattering in virtual source array imaging. Zbl 1323.35228Garnier, Josselin; Papanicolaou, George 5 2014 Resolution enhancement from scattering in passive sensor imaging with cross correlations. Zbl 1316.35298Garnier, Josselin; Papanicolaou, George 1 2014 Large deviations for a mean field model of systemic risk. Zbl 1283.60044Garnier, Josselin; Papanicolaou, George; Yang, Tzu-Wei 38 2013 Robust imaging of localized scatterers using the singular value decomposition and \(\ell_1\) minimization. Zbl 1284.78007Chai, A.; Moscoso, M.; Papanicolaou, G. 15 2013 Signal-to-noise ratio estimation in passive correlation-based imaging. Zbl 1282.35410Garnier, Josselin; Papanicolaou, George; Semin, Adrien; Tsogka, Chrysoula 4 2013 Motion estimation and imaging of complex scenes with synthetic aperture radar. Zbl 1294.78009Borcea, Liliana; Callaghan, Thomas; Papanicolaou, George 2 2013 Synthetic aperture radar imaging and motion estimation via robust principal component analysis. Zbl 1306.94007Borcea, Liliana; Callaghan, Thomas; Papanicolaou, George 1 2013 Martingale approach to some limit theorems. Zbl 1316.60097Papanicolaou, G. C.; Stroock, Daniel W.; Varadhan, S. R. S. 18 2012 Correlation-based virtual source imaging in strongly scattering random media. Zbl 1260.65090Garnier, Josselin; Papanicolaou, George 10 2012 Boundary value problems with rapidly oscillating random coefficients. Zbl 1316.35306Papanicolaou, G. C.; Varadhan, S. R. S. 8 2012 A differential equations approach to \(l_{1}\)-minimization with applications to array imaging. Zbl 1267.65069Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Ryzhik, Lenya 5 2012 Filtering deterministic layer effects in imaging. Zbl 1254.35240Borcea, L.; González del Cueto, F.; Papanicolaou, G.; Tsogka, C. 3 2012 Diffusion in regions with many small holes. Zbl 1316.60118Papanicolaou, G. C.; Varadhan, S. R. S. 2 2012 Synthetic aperture radar imaging with motion estimation and autofocus. Zbl 1243.78016Borcea, L.; Callaghan, T.; Papanicolaou, G. 1 2012 Multiscale stochastic volatility for equity, interest rate, and credit derivatives. Zbl 1248.91003Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie; Sølna, Knut 130 2011 Asymptotic analysis for periodic structures. Reprint of the 1978 original with corrections and bibliographical additions. Zbl 1229.35001Bensoussan, Alain; Lions, Jacques-Louis; Papanicolaou, George 90 2011 Array imaging using intensity-only measurements. Zbl 1207.78022Chai, Anwei; Moscoso, Miguel; Papanicolaou, George 40 2011 Enhanced statistical stability in coherent interferometric imaging. Zbl 1230.62129Borcea, Liliana; Garnier, Josselin; Papanicolaou, George; Tsogka, Chrysoula 18 2011 Adaptive time-frequency detection and filtering for imaging in heavy clutter. Zbl 1237.78001Borcea, L.; Papanicolaou, G.; Tsogka, C. 5 2011 Detection and imaging in strongly backscattering randomly layered media. Zbl 1208.78011Alonso, R.; Borcea, L.; Papanicolaou, G.; Tsogka, C. 4 2011 Coherent interferometric imaging, time gating and beamforming. Zbl 1231.94007Borcea, Liliana; Garnier, Josselin; Papanicolaou, George; Tsogka, Chrysoula 3 2011 Resolution analysis for imaging with noise. Zbl 1197.35320Garnier, Josselin; Papanicolaou, George 9 2010 A universal filter for enhanced imaging with small arrays. Zbl 1190.94007Borcea, Liliana; Callaghan, Thomas; Garnier, Josselin; Papanicolaou, George 4 2010 Filtering random layering effects in imaging. Zbl 1197.35313Borcea, L.; Del Cueto, F. González; Papanicolaou, G.; Tsogka, C. 3 2010 Passive sensor imaging using cross correlations of noisy signals in a scattering medium. Zbl 1179.35344Garnier, Josselin; Papanicolaou, George 22 2009 Fine scale uncertainty in parameter estimation for elliptic equations. Zbl 1181.35337Nolen, James; Papanicolaou, George 13 2009 Filtering deterministic layer effects in imaging. Zbl 1187.35274Borcea, L.; González del Cueto, F.; Papanicolaou, G.; Tsogka, C. 1 2009 Travel time estimation by cross correlation of noisy signals. Zbl 1169.35353Garnier, Josselin; Papanicolaou, George 1 2009 A framework for adaptive multiscale methods for elliptic problems. Zbl 1160.65342Nolen, James; Papanicolaou, George; Pironneau, Olivier 29 2008 Edge illumination and imaging of extended reflectors. Zbl 1132.35496Borcea, Liliana; Papanicolaou, George; Guevara Vasquez, Fernando 15 2008 Identification of Green’s functions singularities by cross correlation of noisy signals. Zbl 1145.35307Bardos, Claude; Garnier, Josselin; Papanicolaou, George 8 2008 Market influence of portfolio optimizers. Zbl 1134.91453Nayak, Suhas; Papanicolaou, George 3 2008 Analysis of pulse propagation through a one-dimensional random medium using complex martingales. Zbl 1148.60041Garnier, Josselin; Papanicolaou, George 3 2008 Adjoint fields and sensitivities for 3D electromagnetic imaging in isotropic and anisotropic media. Zbl 1234.86005Dorn, Oliver; Bertete-Aguirre, Hugo; Papanicolaou, George C. 1 2008 Wave propagation and time reversal in randomly layered media. Zbl 1386.74001Fouque, Jean-Pierre; Garnier, Josselin; Papanicolaou, George; Sølna, Knut 122 2007 Self-averaging from lateral diversity in the Itô-Schrödinger equation. Zbl 1143.35390Papanicolaou, George; Ryzhik, Lenya; Sølna, Knut 21 2007 Pulse propagation and time reversal in random waveguides. Zbl 1127.76059Garnier, Josselin; Papanicolaou, George 18 2007 Optimal waveform design for array imaging. Zbl 1133.94009Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula 6 2007 Asymptotics for the space-time Wigner transform with applications to imaging. Zbl 1137.35084Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula 5 2007 Adaptive interferometric imaging in clutter and optimal illumination. Zbl 1094.62119Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula 22 2006 Efficient numerical simulation for long range wave propagation. Zbl 1090.76053Huang, Kai; Papanicolaou, George; Solna, Knut; Tsogka, Chrysoula; Zhao, Hongkai 4 2006 Coherent interferometry in finely layered random media. Zbl 1115.35308Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula 2 2006 Resolution and denoising in near-field imaging. Zbl 1112.76067Derveaux, Grégoire; Papanicolaou, George; Tsogka, Chrysoula 1 2006 Interferometric array imaging in clutter. Zbl 1074.62063Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula 19 2005 Boundary layers for cellular flows at high Péclet numbers. Zbl 1112.76023Novikov, Alexei; Papanicolaou, George; Ryzhik, Lenya 12 2005 Characterization of space-time focusing in time-reversed random fields. Zbl 1369.78116Oestges, Claude; Kim, Arnold D.; Papanicolaou, George; Paulraj, Arogyaswami J. 1 2005 Multiscale stochastic volatility asymptotics. Zbl 1074.91015Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie; Solna, Knut 74 2004 Statistical stability in time reversal. Zbl 1065.35058Papanicolaou, George; Ryzhik, Leonid; Solna, Knut 27 2004 Stochastic volatility corrections for interest rate derivatives. Zbl 1124.91331Cotton, Peter; Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie 22 2004 Maturity cycles in implied volatility. Zbl 1063.91066Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie; Solna, Knut 16 2004 Singular perturbations in option pricing. Zbl 1039.91024Fouque, J.-P.; Papanicolaou, G.; Sircar, R.; Solna, K. 72 2003 Theory and applications of time reversal and interferometric imaging. Zbl 1045.94500Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula 20 2003 Wavelet based estimation of local Kolmogorov turbulence. Zbl 1032.62089Papanicolaou, George C.; Sølna, Knut 6 2003 High frequency behavior of the focusing nonlinear Schrödinger equation with random inhomogeneities. Zbl 1037.35079Fannjiang, Albert; Jin, Shi; Papanicolaou, George 5 2003 A resolution study for imaging and time reversal in random media. Zbl 1045.94002Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula 4 2003 Self-focusing with fourth-order dispersion. Zbl 1003.35112Fibich, Gadi; Ilan, Boaz; Papanicolaou, George 95 2002 Imaging and time reversal in random media. Zbl 1047.74032Borcea, Liliana; Papanicolaou, George; Tsogka, Chrysoula; Berryman, James 44 2002 Radiative transport limit for the random Schrödinger equation. Zbl 0999.60061Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid 32 2002 Self-averaging in time reversal for the parabolic wave equation. Zbl 1020.35126Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid 27 2002 Sensitivity analysis of a nonlinear inversion method for 3D electromagnetic imaging in anisotropic media. Zbl 0997.78009Dorn, O.; Bertete-Aguirre, H.; Berryman, J. G.; Papanicolaou, G. C. 5 2002 The parabolic wave approximation and time reversal. Zbl 1027.76049Papanicolaou, George; Ryzhik, Leonid; Sølna, Knut 3 2002 Variational principles for propagation speeds in inhomogeneous media. Zbl 0995.35031Heinze, S.; Papanicolaou, G.; Stevens, A. 37 2001 Eddy viscosity of cellular flows. Zbl 0997.76030Novikov, Alexei; Papanicolaou, George 13 2001 From the implied volatility skew to a robust correction to Black–Scholes American option prices. Zbl 1153.91495Fouque, Jean-Pierre; Papanicolaou, George; Sircar, K. Ronnie 11 2001 Stochastic volatility and epsilon-martingale decomposition. Zbl 1138.91441Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie 2 2001 Derivatives in financial markets with stochastic volatility. Zbl 0954.91025Fouque, Jean-Pierre; Papanicolaou, George; Sircar, K. Ronnie 284 2000 Mean-reverting stochastic volatility. Zbl 1153.91497Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie 41 2000 Ray theory for a locally layered random medium. Zbl 0979.76075Sølna, K.; Papanicolaou, G. 17 2000 Soliton perturbations and the random Kepler problem. Zbl 0936.35171Abdullaev, F. Kh.; Bronski, J. C.; Papanicolaou, G. 16 2000 Probabilistic theory of transport processes with polarization. Zbl 0963.60081Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid 4 2000 Self-focusing in the perturbed and unperturbed nonlinear Schrödinger equation in critical dimension. Zbl 1026.78013Fibich, Gadi; Papanicolaou, George 64 1999 Stochastic volatility, smile & asymptotics. Zbl 1009.91032Sircar, K. Ronnie; Papanicolaou, George C. 18 1999 Radiative transport in a periodic structure. Zbl 0964.82048Bal, Guillaume; Fannjiang, Albert; Papanicolaou, George; Ryzhik, Leonid 17 1999 Financial modeling in a fast mean-reverting stochastic volatility environment. Zbl 1157.91358Fouque, Jean-Pierre; Papanicolaou, George; Sircar, K. Ronnie 11 1999 Transport theory for acoustic waves with reflection and transmission at interfaces. Zbl 1067.76605Bal, Guillaume; Keller, Joseph B.; Papanicolaou, George; Ryzhik, Leonid 9 1999 A nonlinear inversion method for 3D electromagnetic imaging using adjoint fields. Zbl 0943.35101Dorn, O.; Bertete-Aguirre, H.; Berryman, J. G.; Papanicolaou, G. C. 9 1999 Waves and transport. Zbl 0930.35172Papanicolaou, George; Ryzhik, Leonid 6 1999 Homogenization. In memory of Serguei Kozlov. Zbl 0924.00012 2 1999 Matching pursuit for imaging high-contrast conductivity. Zbl 0948.78012Borcea, Liliana; Berryman, James G.; Papanicolaou, George C. 2 1999 Reflection and transmission of acoustic waves by a locally-layered random slab. Zbl 0970.76091Kholer, W.; Papanicolaou, G.; White, B. 1 1999 ...and 118 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,566 Authors 64 Garnier, Josselin 57 Papanicolaou, George C. 38 Sølna, Knut 35 Suslina, Tat’yana Aleksandrovna 34 Fouque, Jean-Pierre 33 Abdulle, Assyr 31 Bal, Guillaume 28 Cui, Junzhi 28 Kim, Jeong-Hoon 28 Ryzhik, Lenya 26 Allaire, Grégoire 25 Ammari, Habib M. 25 Borcea, Liliana 24 Cao, Liqun 23 Komorowski, Tomasz 20 Jin, Shi 20 Piatnitski, Andrey L. 20 Xin, Jack X. 18 Pastukhova, Svetlana Evgenievna 18 Pavliotis, Grigorios A. 18 Sircar, Ronnie 18 Tsogka, Chrysoula 17 Le Bris, Claude 16 Donato, Patrizia 16 Legoll, Frédéric 16 Spiliopoulos, Konstantinos V. 15 Novikov, Alexei 15 Yin, Gang George 14 Conca, Carlos 14 Fannjiang, Albert C. 14 Gloria, Antoine 14 Kolpakov, Alexander G. 14 Murat, François 14 Olla, Stefano 13 Fibich, Gadi 13 Li, Qin 13 Nachbin, André 13 Rodríguez-Ramos, Reinaldo 12 Briane, Marc 12 Goudon, Thierry 12 Mourrat, Jean-Christophe 12 Pinaud, Olivier 12 Stuart, Andrew M. 11 Avellaneda, Marco 11 Guo, Cuihua 11 Landim, Claudio 11 Lu, Jianfeng 11 Pardoux, Etienne 11 Vanninathan, Muthusamy 11 Yoon, Ji-Hun 10 Andrianov, Igor Vasil’evich 10 Bravo-Castillero, Julián 10 Cherednichenko, Kirill D. 10 Efendiev, Yalchin R. 10 Golse, François 10 Hou, Thomas Yizhao 10 Kalamkarov, Alexander L. 10 Kushner, Harold J. 10 Lions, Pierre-Louis 10 Moscoso, Miguel 10 Sini, Mourad 10 Visintin, Augusto 10 Wong, Hoi Ying 10 Yin, George Gang 9 Auriault, Jean-Louis 9 Berlyand, Leonid V. 9 Blanc, Xavier 9 de Hoop, Maarten V. 9 Jara, Milton D. 9 Lassas, Matti J. 9 Lee, Min-Ku 9 Lorig, Matthew J. 9 Otto, Felix 9 Spohn, Herbert 9 Sulem, Catherine 9 Woźniak, Czesław 9 Yang, Zhiqiang 9 Yang, Zihao 9 Yau, Horng-Tzer 9 Zhang, Qing 8 Amirat, Youcef Aït 8 Armstrong, Scott N. 8 Arrieta, José M. 8 Berestycki, Henri 8 Burridge, Robert 8 Carrillo de la Plata, José Antonio 8 Dal Maso, Gianni 8 Dobrokhotov, Sergei Yurievich 8 Dong, Hao 8 E, Weinan 8 Guinovart-Díaz, Raúl 8 Guo, Boling 8 Lipton, Robert P. 8 Markowich, Peter Alexander 8 Namachchivaya, N. Sri 8 Owhadi, Houman 8 Pereira, Marcone Corrêa 8 Sabina, Federico J. 8 Saint Jean Paulin, Jeannine 8 Schwab, Christoph ...and 4,466 more Authors all top 5 Cited in 471 Serials 118 Journal of Computational Physics 87 Journal of Statistical Physics 82 Computer Methods in Applied Mechanics and Engineering 81 Communications in Mathematical Physics 80 Journal of Differential Equations 80 Multiscale Modeling & Simulation 79 Archive for Rational Mechanics and Analysis 75 Journal of Mathematical Analysis and Applications 68 Wave Motion 66 Physica D 65 Stochastic Processes and their Applications 58 Journal of Mathematical Physics 49 International Journal of Theoretical and Applied Finance 48 Quantitative Finance 46 Journal of Fluid Mechanics 43 SIAM Journal on Applied Mathematics 41 International Journal of Engineering Science 39 Journal of Computational and Applied Mathematics 38 Journal of the Mechanics and Physics of Solids 38 The Annals of Probability 37 Journal de Mathématiques Pures et Appliquées. Neuvième Série 36 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 36 SIAM Journal on Mathematical Analysis 35 Applied Mathematics and Computation 34 Communications in Partial Differential Equations 31 Applied Mathematical Finance 31 European Journal of Mechanics. A. Solids 30 Comptes Rendus. Mathématique. Académie des Sciences, Paris 30 SIAM Journal on Imaging Sciences 29 Journal of Functional Analysis 29 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 29 The Annals of Applied Probability 28 Probability Theory and Related Fields 27 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 25 RAIRO. Modélisation Mathématique et Analyse Numérique 25 Journal of Mathematical Sciences (New York) 25 St. Petersburg Mathematical Journal 24 Applicable Analysis 24 Computers & Mathematics with Applications 24 Inverse Problems 24 Applied Mathematics and Optimization 24 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 24 SIAM Journal on Financial Mathematics 23 Physics of Fluids 22 Mathematical Notes 22 Chaos, Solitons and Fractals 22 Stochastics and Dynamics 21 Communications on Pure and Applied Mathematics 21 Stochastic Analysis and Applications 21 SIAM Journal on Scientific Computing 20 Acta Mechanica 20 Mathematics of Computation 20 Applied Mathematics Letters 19 Transactions of the American Mathematical Society 19 Computational Mechanics 19 Finance and Stochastics 19 Mathematics and Mechanics of Solids 18 Physica A 18 Annali di Matematica Pura ed Applicata. Serie Quarta 18 Mathematics and Computers in Simulation 18 Calculus of Variations and Partial Differential Equations 18 Waves in Random and Complex Media 17 Applied Numerical Mathematics 17 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 16 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 16 Mathematical Finance 16 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 15 ZAMP. Zeitschrift für angewandte Mathematik und Physik 15 SIAM Journal on Control and Optimization 15 Discrete and Continuous Dynamical Systems 15 Inverse Problems and Imaging 15 Nonlinear Analysis. Theory, Methods & Applications 14 Numerische Mathematik 14 Applications of Mathematics 13 Transport Theory and Statistical Physics 13 Functional Analysis and its Applications 13 Journal of Optimization Theory and Applications 13 Mathematical and Computer Modelling 13 Journal of Scientific Computing 13 European Journal of Applied Mathematics 13 Journal of Elasticity 12 International Journal of Solids and Structures 12 Journal of Applied Mathematics and Mechanics 12 Stochastics 12 Quarterly of Applied Mathematics 12 Acta Applicandae Mathematicae 12 Applied and Computational Harmonic Analysis 11 Insurance Mathematics & Economics 11 Discrete and Continuous Dynamical Systems. Series B 11 Communications on Pure and Applied Analysis 11 Discrete and Continuous Dynamical Systems. Series S 10 Journal of Engineering Mathematics 10 Nonlinearity 10 Ukrainian Mathematical Journal 10 Meccanica 10 Statistics & Probability Letters 10 Acta Mathematicae Applicatae Sinica. English Series 10 Applied Mathematical Modelling 10 Journal of Nonlinear Science 10 Nonlinear Analysis. Real World Applications ...and 371 more Serials all top 5 Cited in 50 Fields 1,832 Partial differential equations (35-XX) 974 Probability theory and stochastic processes (60-XX) 665 Mechanics of deformable solids (74-XX) 596 Numerical analysis (65-XX) 592 Fluid mechanics (76-XX) 496 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 391 Statistical mechanics, structure of matter (82-XX) 245 Optics, electromagnetic theory (78-XX) 201 Calculus of variations and optimal control; optimization (49-XX) 149 Systems theory; control (93-XX) 142 Ordinary differential equations (34-XX) 129 Statistics (62-XX) 111 Dynamical systems and ergodic theory (37-XX) 110 Biology and other natural sciences (92-XX) 103 Quantum theory (81-XX) 98 Operator theory (47-XX) 70 Classical thermodynamics, heat transfer (80-XX) 67 Operations research, mathematical programming (90-XX) 66 Information and communication theory, circuits (94-XX) 61 Integral equations (45-XX) 59 Geophysics (86-XX) 46 Harmonic analysis on Euclidean spaces (42-XX) 38 Functional analysis (46-XX) 37 Approximations and expansions (41-XX) 35 Mechanics of particles and systems (70-XX) 30 Global analysis, analysis on manifolds (58-XX) 27 Computer science (68-XX) 24 Potential theory (31-XX) 17 Measure and integration (28-XX) 11 Real functions (26-XX) 10 General and overarching topics; collections (00-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Differential geometry (53-XX) 9 Astronomy and astrophysics (85-XX) 8 Difference and functional equations (39-XX) 8 General topology (54-XX) 7 Topological groups, Lie groups (22-XX) 7 Special functions (33-XX) 6 Combinatorics (05-XX) 5 History and biography (01-XX) 5 Integral transforms, operational calculus (44-XX) 5 Relativity and gravitational theory (83-XX) 4 Functions of a complex variable (30-XX) 3 Algebraic geometry (14-XX) 3 Abstract harmonic analysis (43-XX) 2 Group theory and generalizations (20-XX) 2 Convex and discrete geometry (52-XX) 1 Mathematical logic and foundations (03-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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