GARNIER, JOSSELIN / Mathematics / Researchers

International Center for Scientific Research

Researchers

Mathematics / GARNIER, JOSSELIN

garnier[a]math.jussieu.fr

Position

Professor,
Laboratoire de Probabilités et Modèles Aléatoires
and
Laboratoire Jacques-Louis Lions, Université Paris VII, Paris, France.

Research interests

Waves in random media,
- in particular time reversal for waves in complex media,
- competition between randomness and nonlinearity for wave propagation phenomena.
Long time dynamics of complex systems in random media (optical solitons and Bose Einstein condensates).
Hydrodynamic instabilities.
Stochastic algorithms.
Imaging in complex media.

Prizes and awards

- Blaise Pascal Prize, Acad´emie des Sciences, 2007.
- Felix Klein Prize, European Mathematical Society, 2008.
- Junior member, Institut Universitaire de France, 2008-2013.
- Schlumberger Chair, IHES (Institut des Hautes ´ Etudes Scientifiques), 2010-2011.

Publications

Regular papers

Borcea, L.; Callaghan, T.; Garnier, J.; Papanicolaou, G.
A universal filter for enhanced imaging with small arrays
Inverse Problems, Vol. 26, 01506 (2010).

Garnier, J.; Solna, K.
Effective fractional acoustic wave equations in random multiscale media
J. Acoust. Soc. Am., Vol. 127, pp. 62--72 (2010).

Garnier, J.; Solna, K.
Fractional precursors in random media
Waves in Random and Complex Media, Vol. 20, pp. 122--155 (2010).

Garnier, J.; Papanicolaou, G.
Resolution analysis for imaging with noise
Inverse Problems, Vol. 26, 074001 (2010).

Garnier, J.; Picozzi, A.
Unified kinetic formulation of incoherent waves propagating in nonlinear media with noninstantaneous response
Phys. Rev. A, Vol. 81, 033831 (2010).

Garnier, J.; Solna, K.
Wave transmission through random layering with pressure release boundary conditions
SIAM Multiscale Model. Simul., Vol. 8, pp. 912--943 (2010).

Dudley, J. M.; Finot, C.; Millot, G.; Garnier, J.; Genty, G.; Agafontsev, D.; Dias, F.
Extreme events in optics: Challenges of the MANUREVA project
Eur. Phys. J. Special Topics, Vol. 185, pp. 125--133 (2010).

Garnier, J.
Imaging with ambient noise
SIAM News, Vol. 43, issue 7, pp. 8--9 (2010).

Garnier, J.; Solna, K.
Cross correlation and deconvolution of noise signals in randomly layered media
SIAM J. Imaging Sciences, Vol. 3, pp. 809-834 (2010).


Chapters in books

Garnier, J.
Wave propagation in one-dimensional random media
Panoramas et Synthèses, Vol. 12, pp. 101--138 (2001).

Abdullaev, F. Kh.; Darmanyan, S. A.; Garnier, J.
Modulational instability of electromagnetic waves in inhomogeneous and discrete media
Progress in Optics, Vol. 44, pp. 303--365 (2002).

Garnier, J.
Scattering, spreading, and localization of an acoustic pulse by a random medium
in: Three courses on Partial Differential Equations, E. Sonnendrucker, ed., Walter de Gruyter, Berlin, 2003, pp. 71--123.

Abdullaev, F. Kh.; Garnier, J.
Optical solitons in random media
Progress in Optics, Vol. 48, pp. 35--106 (2005).

Abdullaev, F. Kh.; Garnier, J.
Bright solitons in Bose-Einstein condensates
chapter in the book \"Emergent Nonlinear Phenomena in Bose-Einstein Condensates\", Springer Series on Atomic, Optical, and Plasma Physics , Vol. 45, 2007.


Proceedings

Videau, L.; Rouyer, C.; Garnier, J.; Migus, A.
Generation of a pure phase-modulated pulse by cascading effect: a theoretical approach
Proceedings of the conference Growth, Fabrication, Devices, and Applications of Laser and Nonlinear Materials, J. W. Pierce and K. I. Schaffers, eds., SPIE Proceedings Series, Vol. 4268, 2001, pp. 58--68.

Garnier, J.; Abdullaev, F. Kh.
Long-range transmission of solitons in random media
Proceedings of the conference Photonics West (San José, 2001), SPIE Proceedings Series, Vol. 4271, 2001, pp. 32--42.

Garnier, J.
Some applications of the anisotropic diffraction in biaxial crystals
Proceedings of the conference Photonics West (San José, 2001), SPIE Proceedings Series, Vol. 4271, 2001, pp. 138--149.

Garnier, J.
Exponential localization versus soliton propagation
Proceedings of the conference Nonlinearity and disorder, NATO Science Series II, Vol. 45, Kluwer, 2002, pp. 3--17.

Garnier, J.; Abdullaev F. Kh.
A statistical approach of the decay of a soliton in a randomly perturbed Toda chain
Proceedings of the \"Workshop on Integrable Theories, Solitons and Duality\", (Sao Paulo, Brazil, July 2002). Journal of High Energy Physics - JHEP, Proceedings Section, paper PRHEP-unesp2002/001.

Fouque, J.-P.; Garnier, J.; Nachbin, A.; Solna, K.
Imaging of a dissipative layer in a random medium using a time reversal method
Proceedings of the conference \"Monte Carlo and Quasi-Monte Carlo Methods 2004\", (Nice, 2004), H. Niederreiter and D. Talay, eds., Springer, Berlin, 2006, pp. 127--145.

Garnier, J.; Papanicolaou, G.
Travel time estimation by cross correlation of noisy signals
Proceedings of the conference \"CANUM 2008\", C. Besse, O. Goubet, T. Goudon, and S. Nicaise, eds., ESAIM: Proceedings, May 2009, Vol. 27, pp. 122--137.

Garnier, J.; Papanicolaou, G.
Passive imaging using cross correlations of ambient noise signals
Proceedings of the \"Third International Workshop on Computational Advances in Multi- Sensor Adaptive Processing\", edited by IEEE, December 2009, pp. 221--224.

Garnier, J.; Solna, K.
Passive imaging and detection in cluttered media
Proceedings of the \"Third International Workshop on Computational Advances in Multi- Sensor Adaptive Processing\", edited by IEEE, December 2009, pp. 225--228.

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