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Author ID: garnier.josselin Recent zbMATH articles by "Garnier, Josselin"
Published as: Garnier, Josselin; Garnier, J.
Homepage: https://josselin-garnier.org/
External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr
Videos: carmin.tv
Awards: Felix Klein Prize (2008)
all top 5

Co-Authors

31 single-authored
61 Sølna, Knut
36 Ammari, Habib
27 Borcea, Liliana
25 Papanicolaou, George C.
14 Kang, Hyeonbae
9 Fouque, Jean-Pierre
9 Jing, Wenjia
8 de Hoop, Maarten V.
7 Nachbin, André
7 Tsogka, Chrysoula
6 Bretin, Elie
5 Jugnon, Vincent
5 Mamonov, Alexander V.
5 Wahab, Abdul Fatah
5 Yang, Tzu-Wei
5 Zimmerling, Jörn T.
4 Abdullaev, Fatkhulla Kh.
4 Boulier, Thomas
4 Chraibi, Hassane
4 Dutfoy, Anne
4 Fink, Mathias
4 Lim, Mikyoung
4 Mertz, Laurent
4 Seppecher, Laurent
4 Wang, Han
3 Bossy, Emmanuel
3 Galtier, Thomas
3 Giovangigli, Laure
3 Lee, Hyundae
3 Marque-Pucheu, Sophie
3 Perrin, Guillaume
3 Picozzi, Antonio
2 Bal, Guillaume
2 Cannamela, Claire
2 Haddar, Houssem
2 Kallel, Leila
2 Le Gratiet, Loic
2 Millien, Pierre
2 Montanelli, Hadrien
2 Nguyen, Loc Hoang
2 Omrane, Abdennebi
2 Semin, Adrien
2 Sharma, Basant Lal
2 Xu, Gang
1 Acharki, Naoufal
1 Alfaro Vigo, Daniel G.
1 Alonso, Ricardo J.
1 Baldassari, Lorenzo
1 Bardos, Claude Williams
1 Bertoncello, Antoine
1 Callaghan, Thomas
1 Chen, Junqing
1 Chen, Zhiming
1 Chennetier, Guillaume
1 Darve, Eric
1 de Rosny, Julien
1 Del Moral, Pierre
1 Dumaz, Laure
1 Dupré, Matthieu
1 Faccio, Daniele
1 Feau, Cyril
1 Fedrizzi, Ennio
1 Fusaro, Adrien
1 Garçon, M.
1 Gay, Etienne
1 Goepfert, Quentin
1 Gu, Yu
1 Holman, Sean F.
1 Iantchenko, Alexei
1 Iooss, Bertrand
1 Ip, Harry L. F.
1 Kalimeris, Konstantinos
1 Kerleguer, Baptiste
1 Ko, Jordan
1 Lepoultier, Guilhem
1 Lerosey, Geoffroy
1 Létourneau, Pierre-David
1 Liu, Hongyu
1 Lu, Ziyu
1 Martinez, Jean-Marc
1 Marty, Renaud
1 Michel, Claire
1 Motsch, Sébastien
1 Muñoz Grajales, Juan Carlos
1 Munoz Zuniga, Miguel
1 Nguyen Loc Hoang
1 Park, Won-Kwang
1 Perrier, Vincent
1 Randoux, Stéphane
1 Remy, Emmanuel
1 Ricaud, Julien
1 Rouchdy, Youssef
1 Sainct, Rémi
1 Savin, Eric
1 Seo, Jin Keun
1 Siahkoohi, Ali
1 Soize, Christian
1 Suret, Pierre
1 Trillo, Stefano
1 Uhlmann, Gunther Alberto
...and 4 more Co-Authors
all top 5

Serials

19 Inverse Problems
19 Multiscale Modeling & Simulation
17 SIAM Journal on Imaging Sciences
16 SIAM Journal on Applied Mathematics
10 Wave Motion
6 Communications in Mathematical Sciences
5 Physica D
4 Discrete and Continuous Dynamical Systems. Series B
4 Waves in Random and Complex Media
4 Inverse Problems and Imaging
3 Journal of Computational Physics
3 Journal of Mathematical Physics
3 Journal of Statistical Physics
3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
3 SIAM Journal on Financial Mathematics
3 Séminaire Laurent Schwartz. EDP et Applications
2 Proceedings of the American Mathematical Society
2 Asymptotic Analysis
2 The Annals of Applied Probability
2 Communications in Partial Differential Equations
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Stochastics and Dynamics
1 Archive for Rational Mechanics and Analysis
1 Communications on Pure and Applied Mathematics
1 Letters in Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Waves in Random Media
1 Chaos, Solitons and Fractals
1 Journal of Differential Equations
1 Numerische Mathematik
1 Quarterly of Applied Mathematics
1 SIAM Journal on Control and Optimization
1 SIAM Journal on Numerical Analysis
1 Probability Theory and Related Fields
1 SIAM Journal on Discrete Mathematics
1 European Journal of Applied Mathematics
1 Machine Learning
1 Computational Statistics
1 European Journal of Operational Research
1 Proceedings of the National Academy of Sciences of the United States of America
1 SIAM Journal on Mathematical Analysis
1 Stochastic Processes and their Applications
1 Computational Statistics and Data Analysis
1 Physics of Fluids
1 Computational and Applied Mathematics
1 Serdica Mathematical Journal
1 Monte Carlo Methods and Applications
1 Mathematical Finance
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Vietnam Journal of Mathematics
1 Chaos
1 Foundations of Computational Mathematics
1 Contemporary Mathematics
1 Lecture Notes in Mathematics
1 Panoramas et Synthèses
1 Stochastic Modelling and Applied Probability
1 Journal of Physics A: Mathematical and Theoretical
1 The Annals of Applied Statistics
1 Discrete and Continuous Dynamical Systems. Series S
1 Risk and Decision Analysis
1 Statistics and Computing
1 Annals of Finance
1 International Journal for Uncertainty Quantification
1 SIAM/ASA Journal on Uncertainty Quantification
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Princeton Series in Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

165 Publications have been cited 1,657 times in 976 Documents Cited by Year
Wave propagation and time reversal in randomly layered media. Zbl 1386.74001
Fouque, Jean-Pierre; Garnier, Josselin; Papanicolaou, George; Sølna, Knut
155
2007
Mathematical and statistical methods for multistatic imaging. Zbl 1288.35001
Ammari, Habib; Garnier, Josselin; Jing, Wenjia; Kang, Hyeonbae; Lim, Mikyoung; Sølna, Knut; Wang, Han
100
2013
Mathematical methods in elasticity imaging. Zbl 1332.35002
Ammari, Habib; Bretin, Elie; Garnier, Josselin; Kang, Hyeonbae; Lee, Hyundae; Wahab, Abdul
63
2015
Stability and resolution analysis for a topological derivative based imaging functional. Zbl 1238.35180
Ammari, Habib; Garnier, Josselin; Jugnon, Vincent; Kang, Hyeonbae
55
2012
Large deviations for a mean field model of systemic risk. Zbl 1283.60044
Garnier, Josselin; Papanicolaou, George; Yang, Tzu-Wei
49
2013
Genealogical particle analysis of rare events. Zbl 1097.65013
Del Moral, Pierre; Garnier, Josselin
45
2005
Imaging schemes for perfectly conducting cracks. Zbl 1259.78049
Ammari, Habib; Garnier, Josselin; Kang, Hyonbae; Park, Won-Kwang; Sølna, Knut
44
2011
Recursive co-kriging model for design of computer experiments with multiple levels of fidelity. Zbl 1497.62213
Le Gratiet, Loic; Garnier, Josselin
41
2014
Multistatic imaging of extended targets. Zbl 1344.78023
Ammari, Habib; Garnier, Josselin; Kang, Hyeonbae; Lim, Mikyoung; Sølna, Knut
35
2012
Coupled paraxial wave equations in random media in the white-noise regime. Zbl 1175.60066
Garnier, Josselin; Sølna, Knut
33
2009
Spectroscopic imaging of a dilute cell suspension. Zbl 1401.35332
Ammari, Habib; Garnier, Josselin; Giovangigli, Laure; Jing, Wenjia; Seo, Jin-Keun
30
2016
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
Correction to Black-Scholes formula due to fractional stochastic volatility. Zbl 1407.91290
Garnier, Josselin; Sølna, Knut
26
2017
Target identification using dictionary matching of generalized polarization tensors. Zbl 1294.94006
Ammari, Habib; Boulier, Thomas; Garnier, Josselin; Jing, Wenjia; Kang, Hyeonbae; Wang, Han
25
2014
Consensus convergence with stochastic effects. Zbl 1372.92118
Garnier, Josselin; Papanicolaou, George; Yang, Tzu-Wei
24
2017
Generalized polarization tensors for shape description. Zbl 1284.65072
Ammari, Habib; Garnier, Josselin; Kang, Hyeonbae; Lim, Mikyoung; Yu, Sanghyeon
23
2014
Enhanced statistical stability in coherent interferometric imaging. Zbl 1230.62129
Borcea, Liliana; Garnier, Josselin; Papanicolaou, George; Tsogka, Chrysoula
21
2011
Modeling active electrolocation in weakly electric fish. Zbl 1282.35406
Ammari, Habib; Boulier, Thomas; Garnier, Josselin
19
2013
Localization, stability, and resolution of topological derivative based imaging functionals in elasticity. Zbl 1281.35085
Ammari, Habib; Bretin, Elie; Garnier, Josselin; Jing, Wenjia; Kang, Hyeonbae; Wahab, Abdul
19
2013
Pulse propagation and time reversal in random waveguides. Zbl 1127.76059
Garnier, Josselin; Papanicolaou, George
19
2007
Time reversal in attenuating acoustic media. Zbl 1232.35189
Ammari, Habib; Bretin, Elie; Garnier, Josselin; Wahab, Abdul
19
2011
Target detection and characterization from electromagnetic induction data. Zbl 1280.35145
Ammari, Habib; Chen, Junqing; Chen, Zhiming; Garnier, Josselin; Volkov, Darko
18
2014
Random integrals and correctors in homogenization. Zbl 1157.34048
Bal, Guillaume; Garnier, Josselin; Motsch, Sébastien; Perrier, Vincent
18
2008
Shape recognition and classification in electro-sensing. Zbl 1355.92056
Ammari, Habib; Boulier, Thomas; Garnier, Josselin; Wang, Han
18
2014
Fourth-moment analysis for wave propagation in the white-noise paraxial regime. Zbl 1339.35289
Garnier, Josselin; Sølna, Knut
17
2016
Enhancement of near-cloaking. Part III: Numerical simulations, statistical stability, and related questions. Zbl 1303.35107
Ammari, Habib; Garnier, Josselin; Jugnon, Vincent; Kang, Hyeonbae; Lee, Hyundae; Lim, Mikyoung
16
2012
Controlled stratification for quantile estimation. Zbl 1156.62023
Cannamela, Claire; Garnier, Josselin; Iooss, Bertrand
15
2008
A reconstruction algorithm for ultrasound-modulated diffuse optical tomography. Zbl 1302.65284
Ammari, Habib; Bossy, Emmanuel; Garnier, Josselin; Nguyen, Loc Hoang; Seppecher, Laurent
14
2014
Reconstruction of a piecewise smooth absorption coefficient by an acousto-optic process. Zbl 1383.35250
Ammari, Habib; Garnier, Josselin; Nguyen, Loc Hoang; Seppecher, Laurent
14
2013
Time-reversal algorithms in viscoelastic media. Zbl 1326.74068
Ammari, Habib; Bretin, Elie; Garnier, Josselin; Wahab, Abdul
14
2013
Homogenization in a periodic and time-dependent potential. Zbl 0872.35009
Garnier, Josselin
14
1997
Effective behavior of solitary waves over random topography. Zbl 1151.76388
Garnier, Josselin; Grajales, Juan Carlos Muñoz; Nachbin, André
13
2007
Scintillation in the white-noise paraxial regime. Zbl 1308.60077
Garnier, Josselin; Solna, Knut
12
2014
The mean escape time for a narrow escape problem with multiple switching gates. Zbl 1231.82048
Ammari, Habib; Garnier, Josselin; Kang, Hyeonbae; Lee, Hyundae; Sølna, Knut
12
2011
Inverse scattering perturbation theory for the nonlinear Schrödinger equation with non-vanishing background. Zbl 1232.35151
Garnier, Josselin; Kalimeris, Konstantinos
12
2012
Quantitative thermo-acoustic imaging: an exact reconstruction formula. Zbl 1257.35196
Ammari, Habib; Garnier, Josselin; Jing, Wenjia; Nguyen Loc Hoang
12
2013
Resolution and stability analysis in full-aperture, linearized conductivity and wave imaging. Zbl 1317.35291
Ammari, Habib; Garnier, Josselin; Sølna, Knut
12
2013
Resolution analysis for imaging with noise. Zbl 1197.35320
Garnier, Josselin; Papanicolaou, George
11
2010
Resolution and stability analysis in acousto-electric imaging. Zbl 1252.92035
Ammari, Habib; Garnier, Josselin; Jing, Wenjia
11
2012
Random backscattering in the parabolic scaling. Zbl 1146.78006
Garnier, Josselin; Sølna, Knut
11
2008
Asymptotic formulas for the derivatives of probability functions and their Monte Carlo estimations. Zbl 1176.90439
Garnier, Josselin; Omrane, Abdennebi; Rouchdy, Youssef
11
2009
Wave propagation in waveguides with random boundaries. Zbl 1273.76058
Alonso, Ricardo; Borcea, Liliana; Garnier, Josselin
11
2013
Correlation-based virtual source imaging in strongly scattering random media. Zbl 1260.65090
Garnier, Josselin; Papanicolaou, George
10
2012
High-frequency asymptotics for Maxwell’s equations in anisotropic media. I: Linear geometric and diffractive optics. Zbl 1006.78006
Garnier, Josselin
10
2001
Acousto-electromagnetic tomography. Zbl 1268.78015
Ammari, Habib; Bossy, Emmanuel; Garnier, Josselin; Seppecher, Laurent
10
2012
A statistical approach to target detection and localization in the presence of noise. Zbl 1274.35256
Ammari, Habib; Garnier, Josselin; Sølna, Knut
10
2012
Noise source localization in an attenuating medium. Zbl 1239.35181
Ammari, Habib; Bretin, Elie; Garnier, Josselin; Wahab, Abdul
9
2012
Paraxial coupling of propagating modes in three-dimensional waveguides with random boundaries. Zbl 1426.76063
Borcea, Liliana; Garnier, Josselin
9
2014
Efficiency of local search with multiple local optima. Zbl 0992.68039
Garnier, Josselin; Kallel, Leila
9
2001
High-frequency asymptotics for Maxwell’s equations in anisotropic media. II: Nonlinear propagation and frequency conversion. Zbl 1006.78007
Garnier, Josselin
9
2001
Imaging in randomly layered media by cross-correlating noisy signals. Zbl 1089.76054
Garnier, Josselin
9
2005
Super-resolution in time-reversal focusing on a moving source. Zbl 1454.35059
Garnier, Josselin; Fink, Mathias
9
2015
Option pricing under fast-varying long-memory stochastic volatility. Zbl 1411.91556
Garnier, Josselin; Sølna, Knut
9
2019
Pulse propagation in random media with long-range correlation. Zbl 1176.60057
Garnier, Josselin; Sølna, Knut
9
2009
Scaling limits for wave pulse transmission and reflection operators. Zbl 1231.78026
Garnier, Josselin; Søłna, Knut
9
2009
Coherent interferometry algorithms for photoacoustic imaging. Zbl 1262.65204
Ammari, Habib; Bretin, Elie; Garnier, Josselin; Jugnon, Vincent
9
2012
Time-reversal refocusing for point source in randomly layered media. Zbl 1189.76459
Fouque, Jean-Pierre; Garnier, Josselin; Nachbin, André; Sølna, Knut
9
2005
Signal to noise ratio analysis in virtual source array imaging. Zbl 1323.35229
Garnier, Josselin; Papanicolaou, George; Semin, Adrien; Tsogka, Chrysoula
8
2015
A quantitative study of source imaging in random waveguides. Zbl 1318.35118
Borcea, Liliana; Garnier, Josselin; Tsogka, Chrysoula
8
2015
Long-time dynamics of Korteweg-de Vries solitons driven by random perturbations. Zbl 0999.35086
Garnier, J.
8
2001
Time reversal for dispersive waves in random media. Zbl 1126.76011
Fouque, Jean-Pierre; Garnier, Josselin; Nachbin, André
8
2004
Effective transport equations and enhanced backscattering in random waveguides. Zbl 1152.76042
Garnier, Josselin; Sølna, Knut
8
2008
Coherent interferometric imaging for synthetic aperture radar in the presence of noise. Zbl 1210.94034
Garnier, Josselin; Sølna, Knut
8
2008
Identification of Green’s functions singularities by cross correlation of noisy signals. Zbl 1145.35307
Bardos, Claude; Garnier, Josselin; Papanicolaou, George
8
2008
Shock structure due to stochastic forcing and the time reversal of nonlinear waves. Zbl 1054.76010
Fouque, Jean-Pierre; Garnier, Josselin; Nachbin, André
7
2004
Partial data resolving power of conductivity imaging from boundary measurements. Zbl 1302.35424
Ammari, Habib; Garnier, Josselin; Sølna, Knut
7
2013
Asymptotic transmission of solitons through random media. Zbl 0914.60077
Garnier, Josselin
6
1998
Tracking of a mobile target using generalized polarization tensors. Zbl 1282.35407
Ammari, Habib; Boulier, Thomas; Garnier, Josselin; Kang, Hyeonbae; Wang, Han
6
2013
Polarization effects for electromagnetic wave propagation in random media. Zbl 1469.78001
Borcea, Liliana; Garnier, Josselin
6
2016
Direct reconstruction methods in ultrasound imaging of small anomalies. Zbl 1345.92085
Ammari, Habib; Garnier, Josselin; Jugnon, Vincent; Kang, Hyeonbae
6
2012
Role of scattering in virtual source array imaging. Zbl 1323.35228
Garnier, Josselin; Papanicolaou, George
5
2014
Wave backscattering by point scatterers in the random paraxial regime. Zbl 1328.60147
Garnier, Josselin; Sølna, Knut
5
2014
Corrector theory for elliptic equations with long-range correlated random potential. Zbl 1259.35235
Bal, Guillaume; Garnier, Josselin; Gu, Yu; Jing, Wenjia
5
2012
Modulational instability induced by randomly varying coefficients for the nonlinear Schrödinger equation. Zbl 0963.35177
Garnier, J.; Abdullaev, F. Kh.
5
2000
Wave propagation and imaging in moving random media. Zbl 1409.76014
Borcea, Liliana; Garnier, Josselin; Solna, Knut
5
2019
Option pricing under fast-varying and rough stochastic volatility. Zbl 1418.91514
Garnier, Josselin; Sølna, Knut
5
2018
Time reversal super resolution in randomly layered media. Zbl 1231.76270
Fouque, Jean-Pierre; Garnier, Josselin; Søłna, Knut
5
2006
High-resolution interferometric synthetic aperture imaging in scattering media. Zbl 1434.35263
Borcea, Liliana; Garnier, Josselin
5
2020
Passive synthetic aperture imaging. Zbl 1336.78010
Garnier, Josselin; Papanicolaou, George
5
2015
Imaging through a scattering medium by Speckle intensity correlations. Zbl 1394.78010
Garnier, Josselin; Sølna, Knut
5
2018
Intensity fluctuations in random waveguides. Zbl 1462.35477
Garnier, Josselin
5
2020
Asymptotic analysis of the learning curve for Gaussian process regression. Zbl 1311.62058
Le Gratiet, Loic; Garnier, Josselin
4
2015
Backpropagation imaging in nonlinear harmonic holography in the presence of measurement and medium noises. Zbl 1295.35380
Ammari, Habib; Garnier, Josselin; Millien, Pierre
4
2014
Solitons in media with random dispersive perturbations. Zbl 0949.35127
Abdullaev, F. Kh.; Garnier, J.
4
1999
Signal-to-noise ratio estimation in passive correlation-based imaging. Zbl 1282.35410
Garnier, Josselin; Papanicolaou, George; Semin, Adrien; Tsogka, Chrysoula
4
2013
A universal filter for enhanced imaging with small arrays. Zbl 1190.94007
Borcea, Liliana; Callaghan, Thomas; Garnier, Josselin; Papanicolaou, George
4
2010
Retrieval of a Green’s function with reflections from partly coherent waves generated by a wave packet using cross correlations. Zbl 1267.35267
de Hoop, Maarten V.; Garnier, Josselin; Holman, Sean F.; Sølna, Knut
4
2013
The role of evanescent modes in randomly perturbed single-mode waveguides. Zbl 1220.35201
Garnier, Josselin
4
2007
Coherent interferometric imaging, time gating and beamforming. Zbl 1231.94007
Borcea, Liliana; Garnier, Josselin; Papanicolaou, George; Tsogka, Chrysoula
4
2011
Pulse reflection in a random waveguide with a turning point. Zbl 1382.35291
Borcea, Liliana; Garnier, Josselin
4
2017
Nested polynomial trends for the improvement of Gaussian process-based predictors. Zbl 1378.62092
Perrin, G.; Soize, C.; Marque-Pucheu, S.; Garnier, J.
4
2017
Transport of power in random waveguides with turning points. Zbl 1412.60042
Borcea, Liliana; Garnier, Josselin; Wood, Derek
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
Passive synthetic aperture imaging with limited noise sources. Zbl 1357.94020
Garnier, Josselin
4
2016
Robust imaging with electromagnetic waves in noisy environments. Zbl 1353.78013
Borcea, Liliana; Garnier, Josselin
4
2016
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
Medium induced resolution enhancement for broadband imaging. Zbl 1301.94009
Ammari, Habib; Garnier, Josselin; de Rosny, Julien; Sølna, Knut
3
2014
Asymptotic behavior of the quantum harmonic oscillator driven by a random time-dependent electric field. Zbl 0952.60063
Garnier, Josselin
3
1998
Solitons in random media with long-range correlation. Zbl 0984.35153
Garnier, J.
3
2001
Waveform inversion with a data driven estimate of the internal wave. Zbl 1518.35665
Borcea, Liliana; Garnier, Josselin; Mamonov, Alexander V.; Zimmerling, Jörn
2
2023
Speckle memory effect in the frequency domain and stability in time-reversal experiments. Zbl 1530.35303
Garnier, Josselin; Sølna, Knut
1
2023
The linear sampling method for random sources. Zbl 1525.35077
Garnier, Josselin; Haddar, Houssem; Montanelli, Hadrien
1
2023
A control variate method driven by diffusion approximation. Zbl 1489.93118
Garnier, Josselin; Mertz, Laurent
2
2022
System of radiative transfer equations for coupled surface and body waves. Zbl 1492.35350
de Hoop, Maarten V.; Garnier, Josselin; Sølna, Knut
2
2022
Reduced order model approach for imaging with waves. Zbl 07455593
Borcea, Liliana; Garnier, Josselin; Mamonov, Alexander V.; Zimmerling, Jörn
1
2022
Background-enhanced collapse instability of optical Speckle beams in nonlocal nonlinear media. Zbl 1489.78010
Xu, Gang; Garnier, Josselin; Fusaro, Adrien; Picozzi, Antonio
1
2022
Optimal potential functions for the interacting particle system method. Zbl 1469.65012
Chraibi, Hassane; Dutfoy, Anne; Galtier, Thomas; Garnier, Josselin
3
2021
Imaging in random media by two-point coherent interferometry. Zbl 1474.94009
Borcea, Liliana; Garnier, Josselin
2
2021
Wave propagation in periodic and random time-dependent media. Zbl 1476.78006
Garnier, Josselin
1
2021
High-resolution interferometric synthetic aperture imaging in scattering media. Zbl 1434.35263
Borcea, Liliana; Garnier, Josselin
5
2020
Intensity fluctuations in random waveguides. Zbl 1462.35477
Garnier, Josselin
5
2020
Wave propagation in randomly perturbed weakly coupled waveguides. Zbl 1439.35458
Borcea, Liliana; Garnier, Josselin
1
2020
Multiscale analysis of spectral broadening of acoustic waves by a turbulent shear layer. Zbl 1434.76113
Garnier, Josselin; Gay, Etienne; Savin, Eric
1
2020
Optimal hedging under fast-varying stochastic volatility. Zbl 1443.91289
Garnier, Josselin; Sølna, Knut
1
2020
Option pricing under fast-varying long-memory stochastic volatility. Zbl 1411.91556
Garnier, Josselin; Sølna, Knut
9
2019
Wave propagation and imaging in moving random media. Zbl 1409.76014
Borcea, Liliana; Garnier, Josselin; Solna, Knut
5
2019
Efficient sequential experimental design for surrogate modeling of nested codes. Zbl 1420.62355
Marque-Pucheu, Sophie; Perrin, Guillaume; Garnier, Josselin
3
2019
Mean field model for collective motion bistability. Zbl 1404.92223
Garnier, Josselin; Papanicolaou, George; Yang, Tzu-Wei
2
2019
On the optimal importance process for piecewise deterministic Markov process. Zbl 1506.60102
Chraibi, H.; Dutfoy, A.; Galtier, T.; Garnier, J.
2
2019
Application of the interacting particle system method to piecewise deterministic Markov processes used in reliability. Zbl 1418.90091
Chraibi, Hassane; Dutfoy, Anne; Galtier, Thomas; Garnier, Josselin
1
2019
Option pricing under fast-varying and rough stochastic volatility. Zbl 1418.91514
Garnier, Josselin; Sølna, Knut
5
2018
Imaging through a scattering medium by Speckle intensity correlations. Zbl 1394.78010
Garnier, Josselin; Sølna, Knut
5
2018
A ghost imaging modality in a random waveguide. Zbl 1408.94052
Borcea, Liliana; Garnier, Josselin
3
2018
Noninvasive imaging through random media. Zbl 1404.60089
Garnier, Josselin; Sølna, Knut
2
2018
Laser beam imaging from the speckle pattern of the off-axis scattered intensity. Zbl 1381.78010
Borcea, Liliana; Garnier, Josselin
1
2018
Correction to Black-Scholes formula due to fractional stochastic volatility. Zbl 1407.91290
Garnier, Josselin; Sølna, Knut
26
2017
Consensus convergence with stochastic effects. Zbl 1372.92118
Garnier, Josselin; Papanicolaou, George; Yang, Tzu-Wei
24
2017
Pulse reflection in a random waveguide with a turning point. Zbl 1382.35291
Borcea, Liliana; Garnier, Josselin
4
2017
Nested polynomial trends for the improvement of Gaussian process-based predictors. Zbl 1378.62092
Perrin, G.; Soize, C.; Marque-Pucheu, S.; Garnier, J.
4
2017
Transport of power in random waveguides with turning points. Zbl 1412.60042
Borcea, Liliana; Garnier, Josselin; Wood, Derek
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
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
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
Focusing waves through a randomly scattering medium in the white-noise paraxial regime. Zbl 1365.60059
Garnier, Josselin; Sølna, Knut
2
2017
Ambient noise correlation-based imaging with moving sensors. Zbl 1360.35317
Fink, Mathias; Garnier, Josselin
1
2017
Spectroscopic imaging of a dilute cell suspension. Zbl 1401.35332
Ammari, Habib; Garnier, Josselin; Giovangigli, Laure; Jing, Wenjia; Seo, Jin-Keun
30
2016
Passive imaging with ambient noise. Zbl 1352.86001
Garnier, Josselin; Papanicolaou, George
27
2016
Fourth-moment analysis for wave propagation in the white-noise paraxial regime. Zbl 1339.35289
Garnier, Josselin; Sølna, Knut
17
2016
Polarization effects for electromagnetic wave propagation in random media. Zbl 1469.78001
Borcea, Liliana; Garnier, Josselin
6
2016
Passive synthetic aperture imaging with limited noise sources. Zbl 1357.94020
Garnier, Josselin
4
2016
Robust imaging with electromagnetic waves in noisy environments. Zbl 1353.78013
Borcea, Liliana; Garnier, Josselin
4
2016
Ghost imaging in the random paraxial regime. Zbl 1348.35318
Garnier, Josselin
3
2016
Incoherent shock waves in long-range optical turbulence. Zbl 1415.78005
Xu, G.; Garnier, J.; Faccio, D.; Trillo, S.; Picozzi, A.
2
2016
Daylight imaging for virtual reflection seismology. Zbl 1353.35314
Garnier, Josselin
1
2016
Apparent attenuation of shear waves propagating through a randomly stratified anisotropic medium. Zbl 1339.60089
Garnier, Josselin; Sølna, Knut
1
2016
Mathematical methods in elasticity imaging. Zbl 1332.35002
Ammari, Habib; Bretin, Elie; Garnier, Josselin; Kang, Hyeonbae; Lee, Hyundae; Wahab, Abdul
63
2015
Super-resolution in time-reversal focusing on a moving source. Zbl 1454.35059
Garnier, Josselin; Fink, Mathias
9
2015
Signal to noise ratio analysis in virtual source array imaging. Zbl 1323.35229
Garnier, Josselin; Papanicolaou, George; Semin, Adrien; Tsogka, Chrysoula
8
2015
A quantitative study of source imaging in random waveguides. Zbl 1318.35118
Borcea, Liliana; Garnier, Josselin; Tsogka, Chrysoula
8
2015
Passive synthetic aperture imaging. Zbl 1336.78010
Garnier, Josselin; Papanicolaou, George
5
2015
Asymptotic analysis of the learning curve for Gaussian process regression. Zbl 1311.62058
Le Gratiet, Loic; Garnier, Josselin
4
2015
Detection, reconstruction, and characterization algorithms from noisy data in multistatic wave imaging. Zbl 1302.78013
Ammari, Habib; Garnier, Josselin; Jugnon, Vincent
2
2015
White-noise paraxial approximation for a general random hyperbolic system. Zbl 1329.35365
Garnier, Josselin; Sølna, Knut
2
2015
Transmission and reflection of electromagnetic waves in randomly layered media. Zbl 1318.35120
Garnier, Josselin; Sølna, Knut
1
2015
Inverse problems and imaging. Lectures of the workshop, Paris, France, February 20–22, 2013. Zbl 1326.35008
1
2015
On effective attenuation in multiscale composite media. Zbl 1397.86010
Garnier, Josselin; Sølna, Knut
1
2015
Recursive co-kriging model for design of computer experiments with multiple levels of fidelity. Zbl 1497.62213
Le Gratiet, Loic; Garnier, Josselin
41
2014
Target identification using dictionary matching of generalized polarization tensors. Zbl 1294.94006
Ammari, Habib; Boulier, Thomas; Garnier, Josselin; Jing, Wenjia; Kang, Hyeonbae; Wang, Han
25
2014
Generalized polarization tensors for shape description. Zbl 1284.65072
Ammari, Habib; Garnier, Josselin; Kang, Hyeonbae; Lim, Mikyoung; Yu, Sanghyeon
23
2014
Target detection and characterization from electromagnetic induction data. Zbl 1280.35145
Ammari, Habib; Chen, Junqing; Chen, Zhiming; Garnier, Josselin; Volkov, Darko
18
2014
Shape recognition and classification in electro-sensing. Zbl 1355.92056
Ammari, Habib; Boulier, Thomas; Garnier, Josselin; Wang, Han
18
2014
A reconstruction algorithm for ultrasound-modulated diffuse optical tomography. Zbl 1302.65284
Ammari, Habib; Bossy, Emmanuel; Garnier, Josselin; Nguyen, Loc Hoang; Seppecher, Laurent
14
2014
Scintillation in the white-noise paraxial regime. Zbl 1308.60077
Garnier, Josselin; Solna, Knut
12
2014
Paraxial coupling of propagating modes in three-dimensional waveguides with random boundaries. Zbl 1426.76063
Borcea, Liliana; Garnier, Josselin
9
2014
Role of scattering in virtual source array imaging. Zbl 1323.35228
Garnier, Josselin; Papanicolaou, George
5
2014
Wave backscattering by point scatterers in the random paraxial regime. Zbl 1328.60147
Garnier, Josselin; Sølna, Knut
5
2014
Backpropagation imaging in nonlinear harmonic holography in the presence of measurement and medium noises. Zbl 1295.35380
Ammari, Habib; Garnier, Josselin; Millien, Pierre
4
2014
Medium induced resolution enhancement for broadband imaging. Zbl 1301.94009
Ammari, Habib; Garnier, Josselin; de Rosny, Julien; Sølna, Knut
3
2014
Mathematical modeling of fluorescence diffuse optical imaging of cell membrane potential changes. Zbl 1282.35408
Ammari, Habib; Garnier, Josselin; Giovangigli, Laure
3
2014
Resolution enhancement from scattering in passive sensor imaging with cross correlations. Zbl 1316.35298
Garnier, Josselin; Papanicolaou, George
1
2014
Mathematical and statistical methods for multistatic imaging. Zbl 1288.35001
Ammari, Habib; Garnier, Josselin; Jing, Wenjia; Kang, Hyeonbae; Lim, Mikyoung; Sølna, Knut; Wang, Han
100
2013
Large deviations for a mean field model of systemic risk. Zbl 1283.60044
Garnier, Josselin; Papanicolaou, George; Yang, Tzu-Wei
49
2013
Modeling active electrolocation in weakly electric fish. Zbl 1282.35406
Ammari, Habib; Boulier, Thomas; Garnier, Josselin
19
2013
Localization, stability, and resolution of topological derivative based imaging functionals in elasticity. Zbl 1281.35085
Ammari, Habib; Bretin, Elie; Garnier, Josselin; Jing, Wenjia; Kang, Hyeonbae; Wahab, Abdul
19
2013
Reconstruction of a piecewise smooth absorption coefficient by an acousto-optic process. Zbl 1383.35250
Ammari, Habib; Garnier, Josselin; Nguyen, Loc Hoang; Seppecher, Laurent
14
2013
Time-reversal algorithms in viscoelastic media. Zbl 1326.74068
Ammari, Habib; Bretin, Elie; Garnier, Josselin; Wahab, Abdul
14
2013
Quantitative thermo-acoustic imaging: an exact reconstruction formula. Zbl 1257.35196
Ammari, Habib; Garnier, Josselin; Jing, Wenjia; Nguyen Loc Hoang
12
2013
Resolution and stability analysis in full-aperture, linearized conductivity and wave imaging. Zbl 1317.35291
Ammari, Habib; Garnier, Josselin; Sølna, Knut
12
2013
Wave propagation in waveguides with random boundaries. Zbl 1273.76058
Alonso, Ricardo; Borcea, Liliana; Garnier, Josselin
11
2013
Partial data resolving power of conductivity imaging from boundary measurements. Zbl 1302.35424
Ammari, Habib; Garnier, Josselin; Sølna, Knut
7
2013
Tracking of a mobile target using generalized polarization tensors. Zbl 1282.35407
Ammari, Habib; Boulier, Thomas; Garnier, Josselin; Kang, Hyeonbae; Wang, Han
6
2013
Signal-to-noise ratio estimation in passive correlation-based imaging. Zbl 1282.35410
Garnier, Josselin; Papanicolaou, George; Semin, Adrien; Tsogka, Chrysoula
4
2013
Retrieval of a Green’s function with reflections from partly coherent waves generated by a wave packet using cross correlations. Zbl 1267.35267
de Hoop, Maarten V.; Garnier, Josselin; Holman, Sean F.; Sølna, Knut
4
2013
A multiscale approach to a synthetic aperture radar in dispersive random media. Zbl 1321.78010
Garnier, Josselin; Sølna, Knut
3
2013
Radiative transfer and diffusion limits for wave field correlations in locally shifted random media. Zbl 1318.78003
Ammari, Habib; Bossy, Emmanuel; Garnier, Josselin; Jing, Wenjia; Seppecher, Laurent
3
2013
Passive array correlation-based imaging in a random waveguide. Zbl 1290.35353
Ammari, Habib; Garnier, Josselin; Jing, Wenjia
2
2013
Multi-element stochastic spectral projection for high quantile estimation. Zbl 1349.62099
Ko, Jordan; Garnier, Josselin
1
2013
Stability and resolution analysis for a topological derivative based imaging functional. Zbl 1238.35180
Ammari, Habib; Garnier, Josselin; Jugnon, Vincent; Kang, Hyeonbae
55
2012
Multistatic imaging of extended targets. Zbl 1344.78023
Ammari, Habib; Garnier, Josselin; Kang, Hyeonbae; Lim, Mikyoung; Sølna, Knut
35
2012
Enhancement of near-cloaking. Part III: Numerical simulations, statistical stability, and related questions. Zbl 1303.35107
Ammari, Habib; Garnier, Josselin; Jugnon, Vincent; Kang, Hyeonbae; Lee, Hyundae; Lim, Mikyoung
16
2012
Inverse scattering perturbation theory for the nonlinear Schrödinger equation with non-vanishing background. Zbl 1232.35151
Garnier, Josselin; Kalimeris, Konstantinos
12
2012
Resolution and stability analysis in acousto-electric imaging. Zbl 1252.92035
Ammari, Habib; Garnier, Josselin; Jing, Wenjia
11
2012
Correlation-based virtual source imaging in strongly scattering random media. Zbl 1260.65090
Garnier, Josselin; Papanicolaou, George
10
2012
Acousto-electromagnetic tomography. Zbl 1268.78015
Ammari, Habib; Bossy, Emmanuel; Garnier, Josselin; Seppecher, Laurent
10
2012
A statistical approach to target detection and localization in the presence of noise. Zbl 1274.35256
Ammari, Habib; Garnier, Josselin; Sølna, Knut
10
2012
Noise source localization in an attenuating medium. Zbl 1239.35181
Ammari, Habib; Bretin, Elie; Garnier, Josselin; Wahab, Abdul
9
2012
Coherent interferometry algorithms for photoacoustic imaging. Zbl 1262.65204
Ammari, Habib; Bretin, Elie; Garnier, Josselin; Jugnon, Vincent
9
2012
Direct reconstruction methods in ultrasound imaging of small anomalies. Zbl 1345.92085
Ammari, Habib; Garnier, Josselin; Jugnon, Vincent; Kang, Hyeonbae
6
2012
...and 65 more Documents
all top 5

Cited by 1,326 Authors

87 Garnier, Josselin
67 Ammari, Habib
34 Liu, Hongyu
34 Sølna, Knut
30 Park, Won-Kwang
26 Borcea, Liliana
19 Li, Peijun
18 Bal, Guillaume
17 Lim, Mikyoung
16 Kang, Hyeonbae
14 Zou, Jun
13 Papanicolaou, George C.
12 Li, Jingzhi
11 Hu, Guanghui
11 Lee, Hyundae
11 Nguyen, Loc Hoang
11 Pavliotis, Grigorios A.
10 Deng, Youjun
10 Karniadakis, George Em
10 Pinaud, Olivier
10 Rapún, María-Luisa
10 Seo, Jin Keun
10 Triki, Faouzi
10 Tsogka, Chrysoula
9 Chow, Yat Tin
9 Millien, Pierre
9 Novotny, Antonio André
9 Spiliopoulos, Konstantinos V.
9 Wahab, Abdul Fatah
9 Zhang, Hai
8 Alberti, Giovanni S.
8 Debussche, Arnaud
8 Klibanov, Michael V.
8 Perdikaris, Paris G.
8 Sini, Mourad
8 Van Ackooij, Wim
8 Wang, Xianchao
8 Yu, SangHyeon
7 Bao, Gang
7 Choi, Doosung
7 Gibson, Peter C.
7 Helin, Tapio
7 Kang, Sangwoo
7 Lai, Jun
7 Lawley, Sean D.
7 Ledger, Paul David
7 Li, Hongjie
7 Ruiz, Matias
6 Bréhier, Charles-Edouard
6 Bretin, Elie
6 Cakoni, Fioralba
6 Fouque, Jean-Pierre
6 Fukasawa, Masaaki
6 Guo, Yukun
6 Le Louër, Frédérique
6 Lionheart, William Robert Breckon
6 Liu, Keji
6 Nachbin, André
6 Ren, Kui
6 Seppecher, Laurent
6 Wang, Zhongjian
6 Zhong, Yimin
5 Beretta, Elena
5 Carrillo de la Plata, José Antonio
5 Challa, Durga Prasad
5 Chen, Junqing
5 de Hoop, Maarten V.
5 Fink, Mathias
5 Gomez, Christophe
5 Gulisashvili, Archil
5 Haddar, Houssem
5 Hohage, Thorsten
5 Lassas, Matti J.
5 Li, Wei
5 Lin, Guang
5 Liu, Xiaodong
5 Pérez-Aros, Pedro
5 Vafeas, Panayiotis
4 Aristoff, David
4 Aspri, Andrea
4 Baldassari, Lorenzo
4 Bezemek, Zachary William
4 Biondini, Gino
4 Bonnet, Marc
4 Carmona, René A.
4 Chraibi, Hassane
4 Chung, Francis J.
4 de Bouard, Anne
4 Dong, Heping
4 Dutfoy, Anne
4 Fang, Xiaoping
4 Gilman, Mikhail
4 Giovangigli, Laure
4 Gloria, Antoine
4 Gorodetsky, Alex Arkady
4 Gu, Yu
4 Guevara Vasquez, Fernando
4 Haltmeier, Markus
4 Jakeman, John Davis
4 Jin, Bangti
...and 1,226 more Authors
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Cited in 219 Serials

64 Inverse Problems
52 SIAM Journal on Imaging Sciences
51 Journal of Computational Physics
41 SIAM Journal on Applied Mathematics
29 Multiscale Modeling & Simulation
23 Mathematical Methods in the Applied Sciences
23 Inverse Problems and Imaging
22 Wave Motion
18 Journal of Differential Equations
17 Computers & Mathematics with Applications
16 Journal de Mathématiques Pures et Appliquées. Neuvième Série
14 Computer Methods in Applied Mechanics and Engineering
14 Physica D
14 SIAM/ASA Journal on Uncertainty Quantification
12 Archive for Rational Mechanics and Analysis
12 SIAM Journal on Mathematical Analysis
12 Stochastic Processes and their Applications
11 Communications in Mathematical Physics
11 The Annals of Applied Probability
11 SIAM Journal on Scientific Computing
10 Quantitative Finance
9 Applicable Analysis
9 Journal of Mathematical Analysis and Applications
9 Journal of Mathematical Physics
9 International Journal for Numerical Methods in Engineering
9 Journal of Optimization Theory and Applications
9 Journal of Scientific Computing
9 Inverse Problems in Science and Engineering
8 Journal of Statistical Physics
8 Applied Mathematics and Optimization
8 Studies in Applied Mathematics
8 Communications in Partial Differential Equations
8 Waves in Random and Complex Media
8 SIAM Journal on Financial Mathematics
7 Physics Letters. A
7 SIAM Journal on Numerical Analysis
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
6 Quarterly of Applied Mathematics
6 Applied Mathematics Letters
6 European Journal of Applied Mathematics
6 Discrete and Continuous Dynamical Systems. Series B
6 Stochastics and Dynamics
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Mathematics of Computation
5 Journal of Computational and Applied Mathematics
5 Mathematical Finance
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Journal of Physics A: Mathematical and Theoretical
4 Journal of Fluid Mechanics
4 Journal of Functional Analysis
4 SIAM Journal on Control and Optimization
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Applied Mathematical Modelling
4 Journal of Elasticity
4 Journal of Mathematical Imaging and Vision
4 Journal of Nonlinear Science
4 Journal of Inverse and Ill-Posed Problems
4 Applied Mathematical Finance
4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
4 Chaos
4 Communications in Nonlinear Science and Numerical Simulation
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 SIAM Journal on Applied Dynamical Systems
4 Advances in Mathematical Physics
4 Stochastic and Partial Differential Equations. Analysis and Computations
4 Séminaire Laurent Schwartz. EDP et Applications
4 SN Partial Differential Equations and Applications
3 Applied Mathematics and Computation
3 Mathematische Annalen
3 Mathematics of Operations Research
3 Stochastic Analysis and Applications
3 Applied Numerical Mathematics
3 Computational Mechanics
3 Abstract and Applied Analysis
3 Methodology and Computing in Applied Probability
3 Analysis and Applications (Singapore)
3 Communications in Computational Physics
3 Discrete and Continuous Dynamical Systems. Series S
3 Statistics and Computing
3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
2 Bulletin of Mathematical Biology
2 Journal of Approximation Theory
2 Journal of Econometrics
2 Mathematische Nachrichten
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Numerische Mathematik
2 Proceedings of the American Mathematical Society
2 Statistics & Probability Letters
2 Probability Theory and Related Fields
2 Numerical Methods for Partial Differential Equations
2 Asymptotic Analysis
2 Computational Statistics
2 European Journal of Operational Research
2 Computational Statistics and Data Analysis
2 Applied and Computational Harmonic Analysis
2 Computational and Applied Mathematics
2 NoDEA. Nonlinear Differential Equations and Applications
2 Mathematical Problems in Engineering
2 Finance and Stochastics
...and 119 more Serials
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Cited in 47 Fields

569 Partial differential equations (35-XX)
272 Numerical analysis (65-XX)
210 Optics, electromagnetic theory (78-XX)
209 Probability theory and stochastic processes (60-XX)
128 Mechanics of deformable solids (74-XX)
106 Fluid mechanics (76-XX)
84 Statistics (62-XX)
76 Biology and other natural sciences (92-XX)
68 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
54 Statistical mechanics, structure of matter (82-XX)
52 Calculus of variations and optimal control; optimization (49-XX)
50 Information and communication theory, circuits (94-XX)
34 Dynamical systems and ergodic theory (37-XX)
33 Operations research, mathematical programming (90-XX)
32 Geophysics (86-XX)
31 Integral equations (45-XX)
29 Computer science (68-XX)
24 Systems theory; control (93-XX)
21 Ordinary differential equations (34-XX)
17 Quantum theory (81-XX)
16 Potential theory (31-XX)
13 Operator theory (47-XX)
11 Special functions (33-XX)
9 Functions of a complex variable (30-XX)
9 Classical thermodynamics, heat transfer (80-XX)
8 Approximations and expansions (41-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Global analysis, analysis on manifolds (58-XX)
6 General and overarching topics; collections (00-XX)
6 Real functions (26-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Functional analysis (46-XX)
5 Mechanics of particles and systems (70-XX)
4 Difference and functional equations (39-XX)
3 Combinatorics (05-XX)
3 Integral transforms, operational calculus (44-XX)
2 Topological groups, Lie groups (22-XX)
2 Measure and integration (28-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Differential geometry (53-XX)
2 Astronomy and astrophysics (85-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-XX)
1 Group theory and generalizations (20-XX)
1 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)
1 Relativity and gravitational theory (83-XX)

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