Papers

  1. J. Garnier, Stochastic invariant imbedding. Application to stochastic differential equations with boundary conditions (pdf), Prob. Th. Rel. Fields, Vol. 103, pp. 249-271 (1995).
  2. J. Garnier, Homogenization in a periodic and time-dependent potential (pdf), SIAM J. Appl. Math., Vol. 57, pp. 95-111 (1997).
  3. J. Garnier, A multi-scaled diffusion-approximation theorem. Applications to wave propagation in random media (pdf), ESAIM Probab. Statist., Vol. 1, pp. 183-206 (1997).
  4. J. Garnier, L. Videau, C. Gouédard, and A. Migus, Statistical analysis of beam smoothing and some applications (pdf), J. Opt. Soc. Am. A, Vol. 14, pp. 1928-1937 (1997).
  5. J. J. Garnier,-P. Fouque, L. Videau, C. Gouédard, and A. Migus, Amplification of broadband incoherent light in homogeneously broadened media in presence of Kerr nonlinearity (pdf), J. Opt. Soc. Am. B, Vol. 14, pp. 2563-2569 (1997).
  6. J. Garnier, Asymptotic transmission of solitons through random media (pdf), SIAM J. Appl. Math., Vol. 58, pp. 1969-1995 (1998).
  7. J. Garnier, L. Videau, C. Gouédard, and A. Migus, Propagation and amplification of incoherent pulses in dispersive and nonlinear media (pdf), J. Opt. Soc. Am. B, Vol. 15, pp. 2773-2781 (1998).
  8. J. Garnier, Asymptotic behavior of the quantum harmonic oscillator driven by a random time-dependent electric field (pdf), J. Statist. Phys., Vol. 93, pp. 211-241 (1998).
  9. J. Garnier, L. Kallel, and M. Schoenauer, Rigorous hitting times for binary mutations (pdf), Evolutionary Computation, Vol. 7, pp. 173-203 (1999).
  10. J. Garnier, Statistics of the hot spots of smoothed beams produced by random phase plates revisited (pdf), Phys. Plasmas, Vol. 6, pp. 1601-1610 (1999).
  11. J. Garnier, C. Gouédard, and A. Migus, Statistics of the hottest spot of speckle patterns generated by smoothing techniques (pdf), Journal of Modern Optics, Vol. 46, pp. 1213-1232 (1999).
  12. L. Videau, C. Rouyer, J. Garnier, and A. Migus, The motion of hot spots in smoothed beams (pdf), J. Opt. Soc. Am. A, Vol. 16, pp. 1672-1681 (1999).
  13. F. Kh. Abdullaev and J. Garnier, Modulational instability in birefringent fibers with periodic and random dispersion (pdf), Phys. Rev. E, Vol. 60, pp. 1042-1050 (1999).
  14. F. Kh. Abdullaev and J. Garnier, Solitons in media with random dispersive perturbations (pdf), Physica D, Vol. 134, pp. 303-315 (1999).
  15. J. Garnier, Energy distribution of the quantum harmonic oscillator under random time-dependent perturbations (pdf), Phys. Rev. E, Vol. 60, pp. 3676-3687 (1999).
  16. J. Garnier, Light propagation in square law media with random imperfections (pdf), Wave Motion, Vol. 31, pp. 1-19 (2000).
  17. J. Garnier, C. Gouédard, and L. Videau, Propagation of a partially coherent beam under the interaction of small and large scales (pdf), Opt. Commun., Vol. 176, pp. 281-297 (2000).
  18. L. Videau, C. Rouyer, J. Garnier, and A. Migus, Generation of a pure phase modulated pulse by cascading effect. A theoretical approach (pdf), J. Opt. Soc. Am. B, Vol. 17, pp. 1008-1017 (2000).
  19. J. Garnier and L. Kallel, Statistical distribution of the convergence time of evolutionary algorithms for longpath problems (pdf), IEEE Transactions on Evolutionary Computation, Vol. 4, pp. 16-30 (2000).
  20. J. Garnier and F. Kh. Abdullaev, Modulational instability induced by randomly varying coefficients for the nonlinear Schrodinger equation (pdf), Physica D, Vol. 145, pp. 65-83 (2000).
  21. J. Garnier, Propagation of solitons in a randomly perturbed Ablowitz-Ladik chain (pdf), Phys. Rev. E, Vol. 63, 026608 (2001).
  22. J. Garnier, High-frequency asymptotics for Maxwell’s equations in anisotropic media. Part I: Linear geometric and diffractive optics (pdf), J. Math. Phys., Vol. 42, pp. 1612-1635 (2001).
  23. J. Garnier, High-frequency asymptotics for Maxwell’s equations in anisotropic media. Part II: Nonlinear propagation and frequency conversion (pdf), J. Math. Phys., Vol. 42, pp. 1636-1654 (2001).
  24. J. Garnier, F. Kh. Abdullaev, E. Seve, and S. Wabnitz, Role of polarization mode dispersion on modulational instability in optical fibers (pdf), Phys. Rev. E, Vol. 63, 066616 (2001).
  25. J. Garnier, Solitons in random media with long-range correlation (pdf), Waves Random Media, Vol. 11, pp. 149-162 (2001).
  26. M. O. Bernard, J. Garnier, and J.-F. Gouyet, Laplacian growth of parallel needles. A Fokker-Planck equation approach (pdf), Phys. Rev. E, Vol. 64, 041401 (2001).
  27. J. Garnier and L. Videau, Statistical analysis of the sizes and velocities of laser hot spots of smoothed beams (pdf), Phys. Plasmas, Vol. 8, pp. 4914-4924 (2001).
  28. J. Garnier, Long-time dynamics of Korteweg-de Vries solitons driven by random perturbations (pdf), J. Statist. Phys., Vol. 105, pp. 789-833 (2001).
  29. J. Garnier and L. Kallel, Efficiency of local search with multiple local optima (pdf), SIAM J. Discrete Math., Vol. 15, pp. 122-141 (2002).
  30. J. Garnier, Instability of a quantum particle induced by a randomly varying spring coefficient (pdf), Progress in Probability, Vol. 52, Birkhauser Verlag, pp. 153-172 (2002).
  31. J. Garnier, Stabilization of dispersion-managed solitons in random optical fibers by strong dispersion management (pdf), Opt. Commun., Vol. 206, pp. 411-438 (2002).
  32. J. Garnier, J. Fatome, and G. Le Meur, Statistical analysis of pulse propagation driven by polarization-mode dispersion (pdf), J. Opt. Soc. Am. B, Vol. 19, pp. 1968-1977 (2002).
  33. J. Garnier and F. Kh. Abdullaev, Soliton dynamics in a random Toda chain (pdf), Phys. Rev. E, Vol. 67, 026609 (2003).
  34. J. Garnier, P.-A. Raviart, C. Cherfils-Clérouin, and L. Masse, Weakly nonlinear theory for the ablative Rayleigh-Taylor instability (pdf), Phys. Rev. Lett., Vol. 90, 185003 (2003).
  35. J. Garnier, J.-P. Ayanides, and O. Morice, Propagation of partially coherent light by the Maxwell-Debye equation (pdf), J. Opt. Soc. Am. B, Vol. 20, pp. 1409-1417 (2003).
  36. J. Garnier, Length scale competition for the sine-Gordon kink in random environment (pdf), Phys. Rev. B, Vol. 68, 134302 (2003).
  37. J. Garnier, C. Cherfils-Clérouin, and P.-A. Holstein, Statistical analysis of multi-mode weakly nonlinear Rayleigh-Taylor instability in presence of surface tension (pdf), Phys. Rev. E, Vol. 68, 036401 (2003).
  38. J.-P. Fouque, J. Garnier, J. C. Munoz Grajales, and A. Nachbin, Time reversing solitary waves (pdf), Phys. Rev. Lett., Vol. 92, 094502 (2004).
  39. J. Garnier, F. Kh. Abdullaev, and B. B. Baizakov, Collapse of a Bose-Einstein condensate induced by fluctuations of the laser intensity (pdf), Phys. Rev. A, Vol. 69, 053607 (2004).
  40. D. G. Alfaro Vigo, J.-P. Fouque, J. Garnier, and A. Nachbin, Robustness of time reversal for waves in time-dependent random media (pdf), Stochastic Process. Appl., Vol. 111, pp. 289-313 (2004).
  41. J.-P. Fouque, J. Garnier, and A. Nachbin, Shock structure due to stochastic forcing and the time reversal of nonlinear waves (pdf), Physica D, Vol. 195, pp. 324-346 (2004).
  42. J. Garnier and A. Nachbin, The eddy viscosity for time reversing waves in a dissipative environment (pdf), Phys. Rev. Lett., Vol. 93, 154501 (2004).
  43. J.-P. Fouque, J. Garnier, and A. Nachbin, Time reversal for dispersive waves in random media (pdf), SIAM J. Appl. Math., Vol. 64, pp. 1810-1838 (2004).
  44. F. Kh. Abdullaev and J. Garnier, Collective oscillations of one-dimensional Bose-Einstein gas under varying in time trap potential and atomic scattering length (pdf), Phys. Rev. A., Vol. 70, 053604 (2004).
  45. J. Garnier and C. Cherfils, A multi-scale analysis of the hotspot dynamics during the deceleration phase of inertial confinement capsules (pdf), Phys. Plasmas., Vol. 12, 012704 (2005).
  46. J. Garnier and F. Kh. Abdullaev, Symmetry breaking induced by random fluctuations for Bose-Einstein condensates in a double-well trap (pdf), Phys. Rev. A., Vol. 71, 033603 (2005).
  47. J. Garnier and L. Masse, Statistical approach of weakly nonlinear ablative Rayleigh-Taylor instability (pdf), Phys. Plasmas., Vol. 12, 062707 (2005).
  48. J.-P. Fouque, J. Garnier, A. Nachbin, and K. Solna, Time reversal refocusing for point source in randomly layered media (pdf), Wave Motion, Vol. 42, pp. 238-260 (2005).
  49. F. Kh. Abdullaev and J. Garnier, Dynamical stabilization of solitons in cubic-quintic nonlinear Schroedinger model (pdf), Phys. Rev. E, Vol. 72, 035603R (2005).
  50. J. Sanz, J. Garnier, C. Cherfils, B. Canaud, L. Masse, and M. Temporal, Self-consistent analysis of the hot spot dynamics for inertial confinement fusion capsules (pdf), Phys. Plasmas, Vol. 12, 112702 (2005).
  51. P. Del Moral and J. Garnier, Genealogical particle analysis of rare events (pdf), Ann. Appl. Probab., Vol. 15, pp. 2496-2534 (2005).
  52. J. Garnier, Imaging in randomly layered media by cross-correlating noisy signals (pdf), SIAM Multiscale Model. Simul., Vol. 4, pp. 610-640 (2005).
  53. F. Kh. Abdullaev and J. Garnier, Propagation of matter wave solitons in periodic and random nonlinear potentials (pdf), Phys. Rev. A, Vol. 72, 061605R (2005).
  54. J. Garnier, Statistical analysis of noise-induced multiple filamentation (pdf), Phys. Rev. E, Vol. 73, 046611 (2006).
  55. J. Garnier and R. Marty, Effective pulse dynamics in optical fibers with polarization mode dispersion (pdf), Wave Motion, Vol. 43, pp. 544-560 (2006).
  56. J. Garnier and A. Nachbin, The eddy viscosity for gravity waves propagating over turbulent surfaces (pdf), Physics of Fluids, Vol. 18, 055101 (2006).
  57. J. Garnier and F. Kh. Abdullaev, Transmission of matter wave solitons through nonlinear traps and barriers (pdf), Phys. Rev. A, Vol. 74, 013604 (2006).
  58. J. Garnier and P. Del Moral, Simulations of rare events in fiber optics by interacting particle systems (pdf), Opt. Commun., Vol. 267, pp. 205-214 (2006).
  59. J.-P. Fouque, J. Garnier, and K. Solna, Time reversal super resolution in randomly layered media (pdf), Wave Motion, Vol. 43, pp. 646-666 (2006).
  60. J. Garnier, G. Malinié, Y. Saillard, and C. Cherfils-Clérouin, Self-similar solutions for a nonlinear radiation diffusion equation (pdf), Phys. Plasmas, Vol. 13, 092703 (2006).
  61. F. Kh. Abdullaev and J. Garnier, Dynamical localization of matter wave solitons in managed barrier potentials (pdf), Phys. Rev. A, Vol. 75, 033603 (2007).
  62. J. Garnier, F. Kh. Abdullaev, and M. Salerno, Solitons in strongly driven discrete nonlinear Schrodinger-type models (pdf), Phys. Rev. E, Vol. 75, 016615 (2007).
  63. J. Garnier and G. Papanicolaou, Pulse propagation and time reversal in random waveguides (pdf), SIAM J. Appl. Math., Vol. 67, pp. 1718-1739 (2007).
  64. J. Garnier, The role of evanescent modes in randomly perturbed single-mode waveguides (pdf), Discrete and Continuous Dynamical Systems-Series B, Vol. 8, 455-472 (2007).
  65. J. Garnier, J. C. Munoz Grajales, and A. Nachbin, Effective behavior of solitary waves over random topography (pdf), SIAM Multiscale Model. Simul., Vol. 6, pp. 995-1025 (2007).
  66. J. Garnier, R. A. Kraenkel, and A. Nachbin, An optimal Boussinesq model for shallow water wave-microstructure interaction (pdf), Phys. Rev. E., Vol. 76, 046311 (2007).
  67. J. Fatome, J. Garnier, S. Pitois, M. Petit, G. Millot, M. Gay, B. Clouet, L. Bramerie, and J.-C. Simon, All-optical measurements of background, amplitude and timing jitter for high speed pulse trains or PRBS sequences using autocorrelation function (pdf), Optical Fiber Technology, Vol. 14, pp. 84-91 (2008).
  68. C. Bardos, J. Garnier, and G. Papanicolaou, Identification of Green’s functions singularities by cross correlation of noisy signals (pdf), Inverse Problems, Vol. 24, 015011 (2008).
  69. J. Garnier and G. Papanicolaou, Analysis of pulse propagation through an one-dimensional random medium using complex martingales (pdf), Stochastics and Dynamics, Vol. 8, pp. 127-138 (2008).
  70. G. Bal, J. Garnier, S. Motsch, and V. Perrier, Random integrals and correctors in homogenization (pdf), Asymptotic Analysis, Vol. 59, pp. 1-26 (2008).
  71. J. Garnier and K. Solna, Effective transport equations and enhanced backscattering in random waveguides (pdf), SIAM J. Appl. Math., Vol. 68, pp. 1574-1599 (2008).
  72. J.Garnier and K. Solna, Coherent interferometric imaging for synthetic aperture radar in the presence of noise (pdf), Inverse Problems, Vol. 24, 055001 (2008).
  73. J. Garnier and K. Solna, Random backscattering in the parabolic scaling (pdf), J. Stat. Phys., Vol. 131, pp. 445-486 (2008).
  74. J. Garnier and C. Cherfils-Clérouin, The role of nuclear reactions and alpha-particle transport in the dynamics of Inertial Confinement Fusion capsules (pdf), Phys. Plasmas, Vol. 15, 102702 (2008).
  75. C. Cannamela, J. Garnier, and B. Iooss, Controlled stratification for quantile estimation (pdf), Ann. Appl. Stat., Vol. 2, pp. 1554-1580 (2008).
  76. J. Garnier and K. Solna, Coupled paraxial wave equations in random media in the white-noise regime (pdf), Ann. Appl. Probab., Vol. 19, pp. 318-346 (2009).
  77. J. Garnier and K. Solna, Scaling limits for wave pulse transmission and reflection operators (pdf), Wave Motion, Vol. 46, pp. 122-143 (2009).
  78. J. Garnier and K. Solna, Pulse propagation in random media with long-range correlation (pdf), SIAM Multiscale Model. Simul., Vol. 7, pp. 1302-1324 (2009).
  79. J. Garnier, A. Omrane, and Y. Rouchdy, Asymptotic formulas for the derivatives of probability functions and their Monte Carlo estimations (pdf), European Journal of Operational Research, Vol. 198, pp. 848-858 (2009).
  80. J. Giorla, A. Masson, F. Poggi, R. Quach, P. Seytor, and J. Garnier, A metamodeling approach for studying ignition target robustness in a highly dimensional parameter space (pdf), Phys. Plasmas, Vol. 16, 032704 (2009).
  81. J. Garnier and G. Papanicolaou, Passive sensor imaging using cross correlations of noisy signals in a scattering medium (pdf), SIAM J. Imaging Sciences, Vol. 2, pp. 396-437 (2009).
  82. J. Garnier and K. Solna, Background velocity estimation with cross correlations of incoherent waves in the parabolic scaling (pdf), Inverse Problems, Vol. 25, 045005 (2009).
  83. J. Garnier and K. Solna, A two-way paraxial system for simulation of wave backscattering by a random medium (pdf), Journal of Computational Physics, Vol. 228, pp. 3307-3325 (2009).
  84. J. Garnier and K. Solna, Parabolic and white-noise approximations for elastic waves in random media (pdf), Wave Motion, Vol. 46, pp. 237-254 (2009).
  85. J. Garnier and K. Solna, Paraxial coupling of electromagnetic waves in random media (pdf), SIAM Multiscale Model. Simul., Vol. 7, pp. 1928-1955 (2009).
  86. L. Borcea, T. Callaghan, J. Garnier, and G. Papanicolaou, A universal filter for enhanced imaging with small arrays (pdf), Inverse Problems, Vol. 26, 01506 (2010).
  87. J. Garnier and K. Solna, Effective fractional acoustic wave equations in random multiscale media (pdf), J. Acoust. Soc. Am., Vol. 127, pp. 62-72 (2010).
  88. J. Garnier and K. Solna, Fractional precursors in random media (pdf), Waves in Random and Complex Media, Vol. 20, pp. 122-155 (2010).
  89. J. Garnier and G. Papanicolaou, Resolution analysis for imaging with noise (pdf), Inverse Problems, Vol. 26, 074001 (2010).
  90. J. Garnier and A. Picozzi, Unified kinetic formulation of incoherent waves propagating in nonlinear media with noninstantaneous response (pdf), Phys. Rev. A, Vol. 81, 033831 (2010).
  91. J. Garnier and K. Solna, Wave transmission through random layering with pressure release boundary conditions (pdf), SIAM Multiscale Model. Simul., Vol. 8, pp. 912-943 (2010).
  92. J. M. Dudley, C. Finot, G. Millot, J. Garnier, G. Genty, D. Agafontsev, and F. Dias, Extreme events in optics: Challenges of the MANUREVA project (pdf), Eur. Phys. J. Special Topics, Vol. 185, pp. 125-133 (2010).
  93. J. Garnier, Imaging with ambient noise (pdf), SIAM News, Vol. 43, issue 7, pp. 8-9 (2010).
  94. J. Garnier and K. Solna, Cross correlation and deconvolution of noise signals in randomly layered media (pdf), SIAM J. Imaging Sciences, Vol. 3, pp. 809-834 (2010).
  95. J. Garnier, Optimal transmission through a randomly perturbed waveguide in the localization regime (pdf), Discrete and Continuous Dynamical Systems – B, Vol. 15, pp. 597-621 (2011).
  96. H. Ammari, J. Garnier, H. Kang, W. K. Park, and K. Solna, Imaging schemes for cracks and inclusions (pdf), SIAM J. Applied Math., Vol. 71, pp. 68-91 (2011).
  97. C. Michel, J. Garnier, P. Suret, S. Randoux, and A. Picozzi, Kinetic description of random optical waves and anomalous thermalization of a nearly integrable wave system (pdf), Lett. Math. Phys., Vol. 96, pp. 415-447 (2011).
  98. P. Aschieri, J. Garnier, C. Michel, V. Doya, and A. Picozzi, Condensation and thermalization of classsical optical waves in a waveguide configuration (pdf), Phys. Rev. A, Vol. 83, 033838 (2011).
  99. J. Garnier and K. Solna, Background velocity estimation by cross correlation of ambient noise signals in the radiative transport regime (pdf), Comm. Math. Sci., Vol. 3, pp. 743-766 (2011).
  100. J. Garnier and K. Solna, Filtered Kirchhoff migration of cross correlations of ambient noise signals (pdf), Inverse Problems and Imaging, Vol. 5, pp. 371-390 (2011).
  101. L. Borcea, J. Garnier, G. Papanicolaou, and C. Tsogka, Coherent interferometric imaging, time gating and beamforming (pdf), Inverse Problems, Vol. 27, 065008 (2011).
  102. H. Ammari, J. Garnier, H. Kang, H. Lee, and K. Solna, The mean escape time for a narrow escape problem with multiple switching gates (pdf), SIAM Multiscale Model. Simul., Vol. 9, pp. 817-833 (2011).
  103. L. Borcea, J. Garnier, G. Papanicolaou, and C. Tsogka, Enhanced statistical stability in coherent interferometric imaging (pdf), Inverse Problems, Vol. 27, 085004 (2011).
  104. J. Garnier and G. Papanicolaou, Fluctuation theory of ambient noise imaging (pdf), CRAS Geoscience, Vol. 343, pp. 502-511 (2011).
  105. M. V. de Hoop, J. Garnier, S. F. Holman, and K. Solna, Scattering enabled retrieval of Green’s functions from remotely incident wave packets using cross correlations (pdf), CRAS Geoscience, Vol. 343, pp. 526-532 (2011).
  106. A. Picozzi and J. Garnier, Incoherent soliton turbulence in nonlocal nonlinear media (pdf), Phys. Rev. Lett., Vol. 107, 233901 (2011).
  107. M. Munoz Zuniga, J. Garnier, E. Remy, and E. de Rocquigny, Adaptative Directional Stratification for controlled estimation of the probability of a rare event (pdf), Reliability Engineering & System Safety, Vol. 96, pp. 1691-1712 (2011).
  108. J. Garnier and K. Kalimeris, Perturbed inverse scattering theory for the Nonlinear Schrodinger equation with non-vanishing boundaries (pdf), J. Phys. A: Math. Theor., Vol. 45, 035202 (2012).
  109. H. Ammari, J. Garnier, V. Jugnon, and H. Kang, Stability and resolution analysis for a topological derivative based imaging functional (pdf), SIAM J. Control Opt., Vol. 50, pp. 48-76 (2012).
  110. H. Ammari, J. Garnier, and K. Solna, A statistical approach to target detection and localization in the presence of noise (pdf), Waves in Random and Complex Media, Vol. 22, pp. 40-65 (2012).
  111. H. Ammari, E. Bretin, J. Garnier, and A. Wahab, Noise source localization in an attenuating medium (pdf), SIAM J. Appl. Math., Vol. 72, pp. 317-336 (2012).
  112. J. Garnier and K. Solna, Coupled wideangle wave approximations (pdf), SIAM Multiscale Model. Simul., Vol. 10, pp. 217-244 (2012).
  113. M. Munoz Zuniga, J. Garnier, E. Remy, and E. de Rocquigny, Analysis of adaptive directional stratification for the controlled estimation of rare event probabilities (pdf), Stat. Comput., Vol. 22, pp. 809-821 (2012).
  114. H. Ammari, J. Garnier, H. Kang, M. Lim, and K. Solna, Multistatic imaging of extended targets (pdf), SIAM J. Imaging Sci., Vol. 5, pp. 564-600 (2012).
  115. G. Bal, J. Garnier, Y. Gu, and W. Jing, Corrector theory for elliptic equations with long-range correlated random potential (pdf), Asymptotic Analysis, Vol. 77, pp. 123-145 (2012).
  116. J. Garnier and G. Papanicolaou, Correlation based virtual source imaging in strongly scattering media (pdf), Inverse Problems, Vol. 28, 075002 (2012).
  117. B. Kibler, C. Michel, J. Garnier, and A. Picozzi, Temporal dynamics of incoherent waves in noninstantaneous response nonlinear Kerr media (pdf), Opt. Lett., Vol. 37, pp. 2472-2474 (2012).
  118. J. Garnier, M. Lisak, and A. Picozzi, Toward a wave turbulence formulation of statistical nonlinear optics (pdf), J. Opt. Soc. Am. B, Vol. 29, pp. 2229-2242 (2012).
  119. R. Alonso, L. Borcea, and J. Garnier, Wave propagation in waveguides with rough boundaries (pdf), Commun. Math. Sci., Vol. 11, pp. 233-267 (2012).
  120. H. Ammari, J. Garnier, and W. Jing, Resolution and stability analysis in acousto-electric imaging (pdf), Inverse Problems, Vol. 28, 084005 (2012).
  121. C. Michel, B. Kibler, J. Garnier, and A. Picozzi, Temporal incoherent solitons supported by a defocusing nonlinearity with anomalous dispersion (pdf), Phys. Rev. A, Vol. 86, 041801(R) (2012).
  122. H. Ammari, E. Bretin, J. Garnier, and V. Jugnon, Coherent interferometry algorithms for photoacoustic imaging (pdf), SIAM J. Numer. Anal., Vol. 50, pp. 2259-2280 (2012).
  123. H. Ammari, E. Bossy, J. Garnier, and L. Seppecher, Acousto-electromagnetic tomography (pdf), SIAM J. Appl. Math., Vol. 70, pp. 1592-1617 (2012).
  124. M. V. de Hoop, J. Garnier, and K. Solna, Enhanced and specular backscattering in random media (pdf), Waves Random Complex Media, Vol. 22, pp. 505-530 (2012).
  125. H. Ammari, T. Boulier, and J. Garnier, Modeling active electrolocation in weakly electric fish (pdf), SIAM J. Imaging Sci., Vol. 5, pp. 285-321 (2013).
  126. H. Ammari, E. Bossy, J. Garnier, W. Jing, and L. Seppecher, Radiative transfer and diffusion limits for wave field correlations in locally shifted random media (pdf), J. Math. Phys., Vol. 54, 021501 (2013).
  127. F. D. Philippe, C. Prada, M. Fink, J. Garnier, and J. de Rosny, Analysis of the time reversal operator for a scatterer undergoing small displacements (pdf), J. Acoust. Soc. Am., Vol. 133, pp. 94-107 (2013).
  128. J. Garnier, G. Papanicolaou, and T.-W. Yang, Large deviations for a mean field model of systemic risk (pdf), SIAM Math. Finance, Vol. 4, pp. 151-184 (2013).
  129. B. Barviau, J. Garnier, G. Xu, B. Kibler, G. Millot, and A. Picozzi, Truncated thermalization of incoherent optical waves through supercontinuum generation in photonic crystal fibers (pdf), Phys. Rev. A, Vol. 87, 035803 (2013).
  130. H. Ammari, J. Garnier, W. Jing, and L. H. Nguyen, Quantitative thermo-acoustic imaging: An exact reconstruction formula (pdf), J. Differential Equations, Vol. 254, pp. 1375-1395 (2013).
  131. J. Garnier and J. Ko, Multi-element stochastic spectral projection for high quantile estimation (pdf), J. Comput. Phys., Vol. 243, pp. 87-108 (2013).
  132. J. Garnier and K. Solna, A multiscale approach to synthetic aperture radar in dispersive random media (pdf), Inverse Problems, Vol. 29, 054006 (2013).
  133. H. Ammari, J. Garnier, and K. Solna, Resolution and stability analysis in full-aperture, linearized conductivity and wave imaging (pdf), Proc. Amer. Math. Soc., Vol. 141, pp. 3431-3446 (2013).
  134. H. Ammari, E. Bretin, J. Garnier, and A. Wahab, Time reversal in viscoelastic media (pdf), European Journal of Applied Mathematics, Vol. 24, pp. 565-600 (2013).
  135. H. Ammari, J. Garnier, and W. Jing, Passive array correlation-based imaging in a random waveguide (pdf), SIAM Multiscale Model. Simul. Vol. 11, pp. 656-681 (2013).
  136. H. Ammari, T. Boulier, J. Garnier, H. Kang, and H. Wang, Tracking of a mobile target using Generalized Polarization Tensors (pdf), SIAM J. Imaging Sciences, Vol. 6, pp. 1477-1498 (2013).
  137. H. Ammari, J. Garnier, L. H. Nguyen, and L. Seppecher, Reconstruction of a piecewise smooth absorption coefficient by an acousto-optic process (pdf), Comm. Part. Differ. Equat., Vol. 38, pp. 1737-1762 (2013).
  138. G. Xu, J. Garnier, S. Trillo, and A. Picozzi, Spectral dynamics of incoherent waves with a noninstantaneous nonlinear response (pdf), Opt. Lett., Vol. 38, pp. 2972-2975 (2013).
  139. J. Garnier, G. Papanicolaou, A. Semin, and C. Tsogka, Signal-to-noise ratio estimation in passive correlation-based imaging (pdf), SIAM J. Imaging Sciences, Vol. 6, pp. 1092-1110 (2013).
  140. H. Ammari, J. Garnier, and K. Solna, Partial data resolving power of conductivity imaging from boundary measurements (pdf), SIAM Math. Anal., Vol. 45, pp. 1704-1722 (2013).
  141. M. V. de Hoop, J. Garnier, S. F. Holman, and K. Solna, Retrieval of a Green’s function with reflections from partly coherent waves generated by a wave packet using cross correlations (pdf), SIAM J. Appl. Math., Vol. 73, pp. 493-522 (2013).
  142. J. Garnier, G. Xu, S. Trillo, and A. Picozzi, Dispersive shocks in the spectral evolution of incoherent waves (pdf), Supplementary material (pdf), Phys. Rev. Lett., Vol. 111, 113902 (2013).
  143. H. Ammari, E. Bretin, J. Garnier, W. Jing, H. Kang, and A. Wahab, Localization, stability, and resolution of topological derivative based imaging functionals in elasticity (pdf), SIAM J. Imaging Sciences, Vol. 6, pp. 2174-2212 (2013).
  144. J. Garnier, G. Papanicolaou, and T.-W. Yang, Anomalous shock displacement probabilities for a perturbed scalar conservation law (pdf), SIAM Multiscale Model. Simul., Vol. 11, pp. 1000-1032 (2013).
  145. F. Bachoc, G. Bois, J. Garnier, and J.-M. Martinez, Calibration and improved prediction of computer models by universal Kriging (pdf), Nuclear Science and Engineering, Vol. 76, pp. 81-97 (2014).
  146. G. Xu, J. Garnier, and A. Picozzi, Spectral long-range interaction of temporal incoherent solitons (pdf), Opt. Lett., Vol. 39, pp. 590-593 (2014).
  147. H. Ammari, J. Garnier, H. Kang, M. Lim, and S. Yu, Generalized polarization tensors for shape description (pdf), Numer. Math., Vol. 126, pp. 199-224 (2014).
  148. H. Ammari, T. Boulier, J. Garnier, W. Jing, H. Kang, and H. Wang, Target identification using dictionary matching of generalized polarization tensors, (pdf), Found. Comput. Math., Vol. 14, pp. 27-62 (2014).
  149. H. Ammari, J. Garnier, and L. Giovangigli, Mathematical modeling of fluorescence diffuse optical imaging of cell membrane potential changes, (pdf), Q. Appl. Math., Vol. 72, pp. 137-176 (2014).
  150. H. Ammari, J. Garnier, and P. Millien, Backpropagation imaging in nonlinear harmonic holography in the presence of measurement and medium noises, (pdf), SIAM J. Imaging Sciences, Vol. 7, pp. 239-276 (2014).
  151. J. Garnier and K. Solna, Scintillation in the white-noise paraxial regime (pdf), Comm. Part. Differ. Equat., Vol. 39, pp. 626-650 (2014).
  152. H. Ammari, J. Chen, Z. Chen, J. Garnier, and D. Volkov, Target detection and characterization from electromagnetic induction data (pdf), J. Math. Pures Appl., Vol. 101, pp. 54-75 (2014).
  153. J. Garnier and G. Papanicolaou, Role of scattering in virtual source array imaging (pdf), SIAM J. Imaging Sciences, Vol. 7, pp. 1210-1236 (2014).
  154. G. Xu, J. Garnier, M. Conforti, and A. Picozzi, Generalized description of spectral incoherent solitons (pdf), Opt. Lett., Vol. 39, pp. 4192-4195 (2014).
  155. G. Xu, J. Garnier, S. Trillo, and A. Picozzi, Impact of self-steepening on incoherent dispersive spectral shocks and collapse-like spectral singularities (pdf), Phys. Rev. A, Vol. 90, 013828 (2014).
  156. H. Ammari, J. Garnier, J. de Rosny, and K. Solna, Medium induced resolution enhancement for broadband imaging (pdf), Inverse Problems, Vol. 30, 085006 (2014).
  157. H. Ammari, T. Boulier, J. Garnier, and H. Wang, Shape recognition and classification in electro-sensing (pdf), Proceedings of the National Academy of Sciences of the United States of America, Vol. 111, pp. 11652-11657 (2014).
  158. H. Ammari, E. Bossy, J. Garnier, L. H. Nguyen, and L. Seppecher, A reconstruction algorithm for ultrasound-modulated diffuse optical tomography (pdf), Proc. AMS, Vol. 142, pp. 3221-3236 (2014).
  159. A. Picozzi, J. Garnier, T. Hansson, P. Suret, S. Randoux, G. Millot, and D. N. Christodoulides, Optical wave turbulence: Toward a unified nonequilibrium thermodynamic formulation of statistical nonlinear optics (pdf), Phys. Rep., Vol. 542, pp. 1–132 (2014).
  160. L. Le Gratiet and J. Garnier, Recursive co-kriging model for Design of Computer experiments with multiple levels of fidelity (pdf), Int. J. Uncertainty Quantification, Vol. 4, pp. 365–386 (2014).
  161. J. Garnier and G. Papanicolaou, Resolution enhancement from scattering in passive sensor imaging with cross correlations (pdf), Inverse Problems and Imaging, Vol. 8, pp. 645-683 (2014).
  162. J. Garnier and K. Solna, Wave backscattering by point scatterers in the random paraxial regime (pdf), SIAM Multiscale Model. Simul., Vol. 12, pp. 1309-1334 (2014).
  163. L. Borcea and J. Garnier, Paraxial coupling of propagating modes in three-dimensional waveguides with random boundaries (pdf), SIAM Multiscale Model. Simul., Vol. 12, pp. 832-878 (2014).
  164. J. Garnier and M. Fink, Super-resolution in time-reversal focusing on a moving source (pdf), Wave Motion, Vol. 53, pp. 80-93 (2015).
  165. J. Garnier, G. Papanicolaou, A. Semin, and C. Tsogka, Signal-to-noise ratio analysis in virtual source array imaging (pdf), SIAM J. Imaging Sciences, Vol. 8, pp. 248-279 (2015).
  166. J. Garnier and K. Solna, Transmission and reflection of electromagnetic waves in randomly layered media (pdf), Commun. Math. Sci., Vol. 13, pp. 707-728 (2015).
  167. L. Le Gratiet and J. Garnier, Asymptotic analysis of the learning curve for Gaussian process regression (pdf), Journal of Machine Learning, Vol. 98, pp. 407-433 (2015).
  168. H. Ammari, J. Garnier, and V. Jugnon, Detection, reconstruction, and characterization algorithms in wave sensor imaging (pdf), Discrete and Continuous Dynamical Systems – Series S, Vol. 8, pp. 389-417 (2015).
  169. L. Borcea, J. Garnier, and C. Tsogka, A quantitative study of source imaging in random waveguides (pdf), Commun. Math. Sci., Vol. 13, pp. 749-776 (2015).
  170. G. Xu, D. Vocke, D. Faccio, J. Garnier, T. Roger, S. Trillo, and A. Picozzi, From coherent shocklets to giant collective incoherent shock waves in nonlocal turbulent flows (pdf), Supplementary material (pdf), Nature Communications, Vol. 6, 8131 (2015).
  171. J. Garnier and K. Solna, On effective attenuation in multiscale composite media (pdf), Waves in Random and Complex Media, Vol. 25, pp. 482-505 (2015).
  172. J. Garnier and K. Solna, Paraxial approximation for a general random hyperbolic system (pdf), SIAM Multiscale Model. Simul., Vol. 13, pp. 1022-1060 (2015).
  173. J. Garnier and G. Papanicolaou, Passive synthetic aperture imaging (pdf), SIAM J. Imaging Sciences, Vol. 8, pp. 2683–2705 (2015).
  174. J. Garnier and K. Solna, Fourth-moment analysis for beam propagation in the white-noise paraxial regime (pdf), Archive on Rational Mechanics and Analysis, Vol. 220, pp. 37–81 (2016).
  175. L. Borcea and J. Garnier, Derivation of a one-way radiative transfer equation in random media (pdf), Phys. Rev. E, Vol. 93, 022115 (2016).
  176. H. Ammari, J. Garnier, L. Giovangigli, W. Jing, and J. K. Seo, Spectroscopic imaging of a dilute cell suspension (pdf), J. Math. Pures Appl., Vol. 105, pp. 603-661 (2016).
  177. L. Borcea and J. Garnier, Polarization effects for electromagnetic wave propagation in random media (pdf), Wave Motion, Vol. 63, pp. 179-208 (2016).
  178. J. Garnier and K. Solna, Apparent attenuation of shear waves propagating through a randomly stratified anisotropic medium (pdf), Stochastics and Dynamics, Vol. 16, 1650009 (2016).
  179. J. Garnier, Ghost imaging in the random paraxial regime (pdf), Inverse Problems and Imaging, Vol. 10, pp. 409-342 (2016).
  180. E. Daskalakis, C. Evangelidis, J. Garnier, N. Melis, G. Papanicolaou, and C. Tsogka, Robust seismic velocity change estimation using ambient noise recordings (pdf), Geophysical Journal International, Vol. 205, pp. 1926-1936 (2016).
  181. G. Xu, J. Garnier, D. Faccio, S. Trillo, and A. Picozzi, Incoherent shock waves in long-range optical turbulence (pdf), Physica D, Vol. 333, pp. 310-322 (2016).
  182. G. Xu, J. Garnier, A. Mussot, S. Trillo, D. Churkin, N. Tarasov, S. Turitsyn, and A. Picozzi, Weak Langmuir optical turbulence in a fiber cavity (pdf), Phys. Rev. A, Vol. 94, 013823 (2016).
  183. J. Garnier, Passive synthetic aperture imaging with limited noise sources (pdf), Inverse Problems, Vol. 32, 095008 (2016).
  184. L. Borcea and J. Garnier, Robust imaging with electromagnetic waves in noisy environments (pdf), Inverse Problems, Vol. 32, 105010 (2016).
  185. A. Fusaro, J. Garnier, C. Michel, G. Xu, J. Fatome, L. G. Wright, F. W. Wise, and A. Picozzi, Decoupled polarization dynamics of incoherent waves and bimodal spectral incoherent solitons (pdf), Optics Letters, Vol. 41, pp. 3992-3995 (2016).
  186. J. Garnier, G. Papanicolaou, and T.-W. Yang, Consensus convergence with stochastic effects (pdf), Vietnam Journal of Mathematics, Vol. 45, pp. 51-75 (2017).
  187. M. Gilles, P.-Y. Bony, J. Garnier, A. Picozzi, M. Guasoni, and J. Fatome, Universal polarization domain walls in optical fibres as topological bit-entities for data transmission (pdf), Nature Photonics, Vol. 11, pp. 102–107 (2017).
  188. H. Ammari, T. Boulier, J. Garnier, and H. Wang, Mathematical modelling of the electric sense of fish: the role of multi-frequency measurements and movement (pdf), Bioinspir. Biomim., Vol. 12, 025002 (2017).
  189. M. Guasoni, J. Garnier, B. Rump, D. Sugny, J. Fatome, F. Amrani, G. Millot, and A. Picozzi, Incoherent Fermi-Pasta-Ulam recurrences mediated by strong phase correlations (pdf), Phys. Rev. X, Vol. 7, 011025 (2017).
  190. P.-D. Letourneau, Y. Wu, G. Papanicolaou, J. Garnier, and E. Darve, A numerical study of super-resolution through fast 3D wideband algorithm for scattering in highly-heterogeneous media (pdf), Wave Motion, Vol. 70, pp. 113-134 (2017).
  191. J. Garnier, G. Papanicolaou, and T.-W. Yang, A risk analysis for a system stabilized by a central agent (pdf), Risk and Decision Analysis, Vol. 6, pp. 97-120 (2017).
  192. L. Borcea, J. Garnier, G. Papanicolaou, K. Solna, and C. Tsogka, Resolution analysis of passive synthetic aperture imaging of fast moving objects (pdf), SIAM J. Imaging Sciences, Vol. 10, pp. 665-710 (2017).
  193. G. Perrin, C. Soize, S. Marque-Pucheu, and J. Garnier, Nested polynomial trends for the improvement of Gaussian process-based predictors (pdf), J. Comput. Phys., Vol. 346, pp. 389-402 (2017).
  194. A. Fusaro, J. Garnier, G. Xu, C. Conti, D. Faccio, S. Trillo, and A. Picozzi, Emergence of long-range phase coherence in nonlocal fluids of light (pdf), Phys. Rev. A, Vol. 95, 063818 (2017).
  195. J. Garnier and K. Solna, Correction to Black-Scholes formula due to fractional stochastic volatility (pdf), SIAM Math. Finance, Vol. 8, pp. 560-588 (2017).
  196. G. Xu, J. Garnier, B. Rumpf, A. Fusaro, P. Suret, S. Randoux, A. Kudlinski, G. Millot, and A. Picozzi, Origins of spectral broadening of incoherent waves: Catastrophic process of coherence degradation (pdf), Phys. Rev. A, Vol. 96, 023817 (2017).
  197. J. Garnier and K. Solna, Focusing waves through a randomly scattering medium in the white-noise paraxial regime (pdf), SIAM J. Appl. Math., Vol. 77, pp. 500-519 (2017).