Reviewers: H. Ammari, J. Garnier, L. Ryzhik
Committee: H.
Ammari, N. Ben Abdallah, Y. Capdeboscq, J. Garnier, J. Le Rousseau,
F. Méhats, M. Schatzman
Scaling limit of fluctuations for high contrast stochastic homogenization of the Helmholtz equation: second order moments, preprint pdf
Synthetic aperture holographic third harmonic generation microscopy, with G. Murray, J. Field, M. Xiu, Y. Farah, L. Wang, R. Bartels, preprint pdf
Aberration free synthetic aperture second harmonic generation holography , with G. Murray, J. Field, M. Xiu, Y. Farah, L. Wang, R. Bartels, Optics Express, 31(20), (2023) pdf
A Monte Carlo method for 3D radiative transfer equations with multifractional singular kernels, with C. Gomez, Journal of Computational Physics, 489, (2023) pdf
Time reversal of surface plasmons, DCDS-B, 28(2), 938--958 (2023) pdf
Instantaneous time mirrors and wave equations with time-singular coefficients , SIAM J. Math. Anal., 53(4), 4401–4416 (2021) pdf
Time reversal by time-dependent perturbations, G. Bal, M. Fink, O. Pinaud, SIAM Applied Math, 79(3), 754–780 (2019) pdf
A backscattering model based on corrector theory of homogenization for the random Helmholtz equation, W. Jing, O. Pinaud, DCDS-B, 24(10), 5377--5407 (2019) pdf
Radiative Transport Limit of Dirac Equations with Random Electromagnetic Field, G. Bal, Y. Gu, O. Pinaud, CPDE, 43(5), 699--732 (2018) pdf
Monte Carlo methods for radiative transfer with singular kernels, C. Gomez, O. Pinaud, SIAM J. Sci. Comput., 40(3), 1714--1741 (2018) pdf
Uncertainty modeling and propagation in linear kinetic equations, G. Bal, W. Jing, O. Pinaud, Uncertainty Quantification for Hyperbolic and Kinetic Equations, 59--92 (2018), Springer pdf
Radiative transfer with long-range interactions: regularity and asymptotics, C. Gomez, O. Pinaud, L. Ryzhik, SIAM MMS, 15(2), 1048–1072 (2017) pdf
Fractional white-noise limit and paraxial approximation for waves in random media, C. Gomez, O. Pinaud, Arch. Rat. Mech. Ana., 226(3), 1061–1138 (2017) pdf
On the stability of some imaging functionals, G. Bal, O. Pinaud, L. Ryzhik, Inverse Problems and Imaging, 10(3), 585--616 (2016) pdf
Hypoelliptic estimates in radiative transfer, C. Gomez, O. Pinaud, L. Ryzhik, CPDE, 41(1), 150--184 (2016) pdf
Random media in inverse problems, theoretical aspects, G. Bal, O. Pinaud, L. Ryzhik, Encyclopedia of Applied and Computational Mathematics (2015) pdf
Precursors for waves in random media, G. Bal, O. Pinaud, L. Ryzhik, K. Solna, Wave Motion, 51, 1237-1253 (2014) pdf
Asymptotics of a time-splitting scheme for the random Schroedinger equation with long-range correlations, C. Gomez, O. Pinaud, M2AN, 48(2), 411-431 (2014) pdf
A note on stochastic Schrödinger equations with fractional multiplicative noise, Journal of Differential Equations, 256(4), 1467-1491 (2014) pdf
Classical limit for a system of random non-linear Schroedinger equations, Arch. Rat. Mech. Ana. 209(1), 321-364 (2013) pdf
Correlations of heterogeneous waves fields propagating in homogeneous media, G. Bal, O. Pinaud, Contemporary Mathematics (577), 125-144 (2012) pdf
Analysis of the double scattering scintillation of waves in random media, G. Bal, O. Pinaud, CPDE 38(6), 945-984 (2013) pdf
Kinetic limit and imaging models for waves in random media, G. Bal, O. Pinaud, Proc. of the 2011 Waves Conf. pdf
Imaging using transport models for wave-wave correlations, G. Bal, O. Pinaud, M3AS 21(5), pp 1071-1093 (2011) pdf
Single scattering estimates for the scintillation function of waves in random media, G. Bal, I. Langmore, O. Pinaud, J. of Math. Phys 51, (2010) pdf
Dynamics of wave scintillation in random media, G. Bal, O. Pinaud, CPDE 35(7), pp 1176-1235 (2010) pdf
Small volume expansions for elliptic equations, G. Bal, O. Pinaud, Asymptotic Analysis, 70(1-2), pp. 13-50 (2010) pdf
Self-averaging of kinetic models in random media, G. Bal, O. Pinaud, Kinetic and Related Models (KRM), 1(1), pp. 85-100, (2008) pdf
Kinetic models for imaging in random media, G. Bal, O. Pinaud, SIAM Multiscale Model. Simul. , 6(3), pp. 792-819, (2007) pdf
Accuracy of transport models for waves in random media, G. Bal, O. Pinaud, Wave Motion, 43(7), pp. 561-578 (2006) pdf
Time reversal based detection in random media, G. Bal, O. Pinaud, Inverse Problems, 21(5), pp. 1593-1620 (2005) pdf
A splitting scheme for the quantum Liouville-BGK equation, S. Bradgon Potoczak, O. Pinaud, Kinetic and Related Models, 1937--5093, (2023) pdf
On local quantum Gibbs states, R. Duboscq, O. Pinaud, Journal of Mathematical Physics, 63(10), 102102 (2022) pdf
Entropy minimization for many-body quantum systems, R. Duboscq, O. Pinaud, Journal of Statistical Physics, 185(1), (2021) pdf
A constrained optimization problem in quantum statistical physics, R. Duboscq, O. Pinaud, Journal of Functional Analysis, 281(9), 109169 (2021) pdf
A simple real-space scheme for periodic Dirac operators, H. Chen, O. Pinaud, M. Tahir, Communications in Mathematical Sciences, 19(6) pp. 1735-1750 (2021) pdf
Constrained minimizers of the von Neumann entropy and their characterization, R. Duboscq, O. Pinaud, Calculus of Variations and PDEs, 59(105) (2020) pdf
Emergent flat band lattices in spatially periodic magnetic fields, M. Tahir, O. Pinaud, H. Chen, Physical Review B, 102(3), 035425 (2020) pdf
On the minimization of quantum entropies under local constraints, R. Duboscq, O. Pinaud, Journal de Mathématiques Pures et Appliquées, 128, 87-118 (2019) pdf
The quantum drift-diffusion model: existence and exponential convergence to the equilibrium, Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 36(3), 811-836 (2019) pdf
Local smoothing for the quantum Liouville equation, Journal of Mathematical Analysis and Applications 446(2), pp. 1723–1742 (2017) pdf
The quantum Liouville-BGK equation and the moment problem, F. Méhats, O. Pinaud, Journal of Differential Equations, 263(7), pp. 3737-3787 (2017) pdf
Absorbing layers for the Dirac equation, Journal of Computational Physics (289), pp 169-180 (2015) pdf
A problem of moment realizability in quantum statistical physics, F. Méhats, O. Pinaud, Kinetic and Related Models 4(4) pp. 1143-1158 (2011) pdf
An inverse problem in quantum statistical physics, F. Méhats, O. Pinaud, Journal of Statistical Physics 40(3), pp. 565-602 (2010) pdf
Uniform bounds and weak solutions to an open Schrödinger-Poisson system, Comm. in. Math. Sciences, 5(3), pp. 697-722 (2007) pdf
Multiscale simulation of transport in an open quantum system: Resonances and WKB interpolation, N. Ben Abdallah, O. Pinaud, J. Comp. Physics 213(1), 288-310 (2006) ps
On a open transient Schrödinger-Poisson system, N. Ben Abdallah, F. Méhats, O. Pinaud, Math. Meth. Mod. in App. Sci. (M3AS) 15, no. 5, 667-688 (2005) pdf
Adiabatic approximation of the Schrödinger-Poisson system with a partial confining, N. Ben Abdallah, F. Méhats, O. Pinaud, SIAM J. Math. Anal. 36, no. 3, 986-1013 (2005). pdf
Adiabatic approximation of the Schrödinger-Poisson system with a partial confining: the Stationary Case, O. Pinaud, J. of Math. Phys 45, 2029-2048 (2004). Selected for publication in Virtual J. Of Nanoscale Sci. And Technologies, issue 16 (2004). pdf
A Comparison of Resonant Tunneling Based on Schrödinger Equation and Quantum Hydrodynamics, N. Ben Abdallah, O. Pinaud, C. L. Gardner, and C. Ringhofer, VLSI Design 15, 695-700 (2002) ps.gz
Transient simulations of a resonant tunneling diode, O. Pinaud, J. App. Phys., 92 (4), 1987-1994 (2002) pdf
A mathematical model for the transient evolution of a resonant tunneling diode, N. Ben Abdallah, O. Pinaud, C. R. Math. Acad. Sci. Paris, 334 (4), 283-288 (2002) ps.gz
Mean-field Theory and Synchronization in Random Recurrent Neural Networks, E. Daucé, O. Moynot, O. Pinaud, M. Samuelides, Neural Processing Letters 14(2): 115-126 (2001) ps.gz
Equations de champ moyen dans les réseaux de neurones à deux populations, O. Moynot, E. Daucé, O. Pinaud, In Cognito, 15, 41-46 (1999)
Mean Field Equations reveal synchronization in a 2-population neural network, E. Daucé, O. Moynot, O. Pinaud, M. Samuelides, B. Doyon, proc. Of ESANN99, D-Facto, M. Verleysen ed., 7:12 (1999) ps.gz
Equations de champ moyen dans les réseaux de neurones à deux populations, E. Daucé, O. Moynot, O. Pinaud, actes du 3ème colloque "Jeunes chercheurs en sciences cognitives", B Vivicorsi ed., 167 : 177 (1999)