George Papanicolaou
Robert Grimmett Professor of Mathematics
Web page: http://math.stanford.edu/~papanico
Academic Appointments
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Professor, Mathematics
Administrative Appointments
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Assistant Professor, New York University, Courant Institute (1969 - 1973)
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Associate Professor, New York University, Courant Institute (1973 - 1976)
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Professor, New York University, Courant Institute (1976 - 1993)
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Director, Division of Wave Propagation and Applied Mathematics, Courant Institute (1979 - 1993)
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Professor, Stanford University (1993 - 1997)
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Robert Grimmett Professor of Mathematics, Stanford University (1997 - Present)
Honors & Awards
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Alfred P. Sloan Fellow, Alfred P. Sloan Foundation (1974)
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Invited speaker, International Congress of Mathematicians (1986)
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Honorary Doctor of Science, University of Athens, Greece (1987)
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Invited speaker, International Congress of Mathematical Physics (1994)
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Invited Plenary speaker, International Congress of Mathematicians (1998)
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Member, U.S. National Academy of Sciences (2000)
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Fellow, American Academy of Arts and Sciences (2000)
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Sackler Distinguished Visitor, Tel Aviv University (2000)
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Lighthill Lecture, British Mathematical Council (2002)
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Invited Plenary speaker, Society of Industrial and Applied Mathematics 50th Anniversary Meeting (2002)
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Invited Plenary speaker, International Congress of Industrial and Applied Mathematics (2003)
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Invited Plenary speaker, German Mathematical Union (2004)
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SIAM von Neumann Prize, Society of Industrial and Applied Mathematics (2006)
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Fellow, Society of Industrial and Applied Mathematics (2009)
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William Bender Prize, City University of Hong Kong (2010)
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Doctor Honoris Causa, University of Paris VII (2011)
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Josiah Willard Gibbs Lecture, American Mathematical Society (2011)
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Inaugural Fellow, American Mathematical Society (2013)
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Lagrange Prize, International Congress of Industrial and Applied Mathematics (2019)
Boards, Advisory Committees, Professional Organizations
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Member, INRIA, Rocquencourt, France (1974 - 1975)
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Member, Observatoire de Nice France (1975 - 1975)
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Member, INRIA, Rocquencourt, France (1976 - 1977)
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Visiting Associate Professor, Cornell University (1976 - 1977)
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Visiting Scientist, Exxon Research Corp. (1983 - 1984)
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Visiting Professor, Univ. of Paris Dauphine (1984 - 1984)
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Visiting Member, Institute for Advanced Study, Princeton (1990 - 1992)
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Gordon Moore Distinguished Scholar, Caltech (2003 - 2004)
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Member, Institute for Advanced Study, Hong Kong University of Science and Technology (2008 - 2008)
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W. Romberg Guest Professor, Heidelberg University (2010 - 2010)
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Schlumberger Visiting Professor, Institut des Hautes ´Etudes Scientifiques, Paris (2010 - 2010)
Professional Education
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B.E.E, Union College (1965)
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M.S, New York University, Courant Institute, Mathematics (1967)
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Ph.D, New York University, Courant Institute, Mathematics (1969)
2024-25 Courses
- Introduction to Stochastic Differential Equations
MATH 236 (Win) - Mathematical Finance
MATH 238, STATS 250 (Win) - Probability and Stochastic Differential Equations for Applications
CME 298, MATH 158 (Spr) -
Independent Studies (6)
- Advanced Reading and Research
MATH 360 (Aut, Win, Spr, Sum) - Curricular Practical Training
CME 390 (Aut, Win, Spr, Sum) - Master's Research
CME 291 (Aut, Win, Spr, Sum) - Ph.D. Research
CME 400 (Aut, Win, Spr, Sum) - Ph.D. Research Rotation
CME 391 (Aut, Win, Spr, Sum) - Research
PHYSICS 490 (Aut, Win, Spr, Sum)
- Advanced Reading and Research
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Prior Year Courses
2023-24 Courses
- Introduction to Stochastic Differential Equations
MATH 236 (Win) - Mathematical Finance
MATH 238, STATS 250 (Win) - Mathematical Methods of Imaging
MATH 221B (Spr)
2022-23 Courses
- Introduction to Stochastic Differential Equations
MATH 236 (Win) - Mathematical Finance
MATH 238, STATS 250 (Win) - Topics in Financial Math: Market microstructure and trading algorithms
MATH 237A (Spr)
2021-22 Courses
- Introduction to Stochastic Differential Equations
MATH 236 (Win) - Mathematical Finance
MATH 238, STATS 250 (Win) - Topics in Financial Math: Market microstructure and trading algorithms
MATH 237A (Spr)
- Introduction to Stochastic Differential Equations
Stanford Advisees
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Postdoctoral Faculty Sponsor
Alexander Christie -
Doctoral Dissertation Advisor (AC)
Jennifer Zheng -
Doctoral Dissertation Co-Advisor (AC)
Hamish Blair
All Publications
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MEAN FIELD MODEL FOR COLLECTIVE MOTION BISTABILITY
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
2019; 24 (2): 851–79
View details for DOI 10.3934/dcdsb.2018210
View details for Web of Science ID 000449874700022
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A numerical study of super-resolution through fast 3D wideband algorithm for scattering in highly-heterogeneous media
WAVE MOTION
2017; 70: 113-134
View details for DOI 10.1016/j.wavemoti.2016.08.012
View details for Web of Science ID 000397375900009
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Multifrequency interferometric imaging with intensity-only measurements
SIAM Journal on Imaging Sciences
2017; 10 (3): 1005-1032
View details for DOI 10.1137/16M1105955
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Array imaging of localized objects in homogeneous and heterogeneous media
INVERSE PROBLEMS
2016; 32 (10)
View details for DOI 10.1088/0266-5611/32/10/104003
View details for Web of Science ID 000393023800001
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Robust seismic velocity change estimation using ambient noise recordings
GEOPHYSICAL JOURNAL INTERNATIONAL
2016; 205 (3): 1926-1936
View details for DOI 10.1093/gji/ggw142
View details for Web of Science ID 000376380000042
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Synthetic Aperture Imaging of Direction- and Frequency-Dependent Reflectivities
SIAM JOURNAL ON IMAGING SCIENCES
2016; 9 (1): 52-81
View details for DOI 10.1137/15M1036063
View details for Web of Science ID 000373629500003
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Coherent Imaging without Phases
SIAM JOURNAL ON IMAGING SCIENCES
2016; 9 (4): 1689-1707
View details for DOI 10.1137/16M1064830
View details for Web of Science ID 000391852100006
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Signal to Noise Ratio Analysis in Virtual Source Array Imaging
SIAM JOURNAL ON IMAGING SCIENCES
2015; 8 (1): 248-279
View details for DOI 10.1137/140968677
View details for Web of Science ID 000352213100008
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Passive Synthetic Aperture Imaging
SIAM JOURNAL ON IMAGING SCIENCES
2015; 8 (4): 2683-2705
View details for DOI 10.1137/15M1019696
View details for Web of Science ID 000367019300017
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Illumination Strategies for Intensity-Only Imaging
SIAM JOURNAL ON IMAGING SCIENCES
2015; 8 (3): 1547-1573
View details for DOI 10.1137/140994617
View details for Web of Science ID 000362417500007
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RESOLUTION ENHANCEMENT FROM SCATTERING IN PASSIVE SENSOR IMAGING WITH CROSS CORRELATIONS
INVERSE PROBLEMS AND IMAGING
2014; 8 (3): 645-683
View details for DOI 10.3934/ipi.2014.8.645
View details for Web of Science ID 000342133300002
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Imaging Strong Localized Scatterers with Sparsity Promoting Optimization
SIAM JOURNAL ON IMAGING SCIENCES
2014; 7 (2): 1358-1387
View details for DOI 10.1137/130943200
View details for Web of Science ID 000338782900027
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Role of Scattering in Virtual Source Array Imaging
SIAM JOURNAL ON IMAGING SCIENCES
2014; 7 (2): 1210-1236
View details for DOI 10.1137/13094181X
View details for Web of Science ID 000338782900021
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Motion estimation and imaging of complex scenes with synthetic aperture radar
INVERSE PROBLEMS
2013; 29 (5)
View details for DOI 10.1088/0266-5611/29/5/054011
View details for Web of Science ID 000318022700012
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Robust imaging of localized scatterers using the singular value decomposition and l(1) minimization
INVERSE PROBLEMS
2013; 29 (2)
View details for DOI 10.1088/0266-5611/29/2/025016
View details for Web of Science ID 000314676400016
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Signal-to-Noise Ratio Estimation in Passive Correlation-Based Imaging
SIAM JOURNAL ON IMAGING SCIENCES
2013; 6 (2): 1092-1110
View details for DOI 10.1137/120875533
View details for Web of Science ID 000326033500013
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Large Deviations for a Mean Field Model of Systemic Risk
SIAM JOURNAL ON FINANCIAL MATHEMATICS
2013; 4 (1): 151-184
View details for DOI 10.1137/12087387X
View details for Web of Science ID 000328888900005
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ANOMALOUS SHOCK DISPLACEMENT PROBABILITIES FOR A PERTURBED SCALAR CONSERVATION LAW
MULTISCALE MODELING & SIMULATION
2013; 11 (4): 1000-1032
View details for DOI 10.1137/120883864
View details for Web of Science ID 000328898800002
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Synthetic Aperture Radar Imaging and Motion Estimation via Robust Principal Component Analysis
SIAM JOURNAL ON IMAGING SCIENCES
2013; 6 (3): 1445-1476
View details for DOI 10.1137/120888351
View details for Web of Science ID 000326072200011
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A differential equations approach to l(1)-minimization with applications to array imaging
INVERSE PROBLEMS
2012; 28 (10)
View details for DOI 10.1088/0266-5611/28/10/105001
View details for Web of Science ID 000310574000013
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Correlation-based virtual source imaging in strongly scattering random media
INVERSE PROBLEMS
2012; 28 (7)
View details for DOI 10.1088/0266-5611/28/7/075002
View details for Web of Science ID 000306085300002
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Synthetic aperture radar imaging with motion estimation and autofocus
INVERSE PROBLEMS
2012; 28 (4)
View details for DOI 10.1088/0266-5611/28/4/045006
View details for Web of Science ID 000302782400006
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Filtering Deterministic Layer Effects in Imaging
SIAM REVIEW
2012; 54 (4): 757-798
View details for DOI 10.1137/120880975
View details for Web of Science ID 000311034000007
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Fluctuation theory of ambient noise imaging
COMPTES RENDUS GEOSCIENCE
2011; 343 (8-9): 502-511
View details for DOI 10.1016/j.crte.2011.01.004
View details for Web of Science ID 000296666900003
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Enhanced statistical stability in coherent interferometric imaging
INVERSE PROBLEMS
2011; 27 (8)
View details for DOI 10.1088/0266-5611/27/8/085004
View details for Web of Science ID 000293171300006
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Coherent interferometric imaging, time gating and beamforming
INVERSE PROBLEMS
2011; 27 (6)
View details for DOI 10.1088/0266-5611/27/6/065008
View details for Web of Science ID 000291017300008
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Detection and imaging in strongly backscattering randomly layered media
INVERSE PROBLEMS
2011; 27 (2)
View details for DOI 10.1088/0266-5611/27/2/025004
View details for Web of Science ID 000286581000004
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Array imaging using intensity-only measurements
INVERSE PROBLEMS
2011; 27 (1)
View details for DOI 10.1088/0266-5611/27/1/015005
View details for Web of Science ID 000285410100005
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Correlation-based radio localization in an indoor environment
EURASIP JOURNAL ON WIRELESS COMMUNICATIONS AND NETWORKING
2011
View details for DOI 10.1186/1687-1499-2011-135
View details for Web of Science ID 000301104600001
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Adaptive Time-Frequency Detection and Filtering for Imaging in Heavy Clutter
SIAM JOURNAL ON IMAGING SCIENCES
2011; 4 (3): 827-849
View details for DOI 10.1137/100806734
View details for Web of Science ID 000295405200003
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FILTERING RANDOM LAYERING EFFECTS IN IMAGING
MULTISCALE MODELING & SIMULATION
2010; 8 (3): 751-781
View details for DOI 10.1137/090760854
View details for Web of Science ID 000277583300002
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Passive Sensor Imaging Using Cross Correlations of Noisy Signals in a Scattering Medium
SIAM JOURNAL ON IMAGING SCIENCES
2009; 2 (2): 396-437
View details for DOI 10.1137/080723454
View details for Web of Science ID 000278101100005
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Spatial Focusing and Intersymbol Interference in Multiple-Input-Single-Output Time Reversal Communication Systems
IEEE JOURNAL OF OCEANIC ENGINEERING
2008; 33 (3): 341-355
View details for DOI 10.1109/JOE.2008.925083
View details for Web of Science ID 000262861400010
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Identification of Green's functions singularities by cross correlation of noisy signals
INVERSE PROBLEMS
2008; 24 (1)
View details for DOI 10.1088/0266-5611/24/1/015011
View details for Web of Science ID 000254150900013
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Edge Illumination and Imaging of Extended Reflectors
SIAM JOURNAL ON IMAGING SCIENCES
2008; 1 (1): 75-114
View details for DOI 10.1137/07069290X
View details for Web of Science ID 000207567300004