Liste des Publications


Liste complète avec résumés.
Fichiers en Format PostScript comprimés avec gzip (.ps.gz) :

[0] J. Garnier, Contributions à l'étude des phénomènes de propagation d'ondes en milieux complexes, habilitation à diriger des recherches, Université de Paris VI (31 janvier 2000).

Articles :

[1] J. Garnier, Stochastic invariant imbedding. Application to stochastic differential equations with boundary conditions, Prob. Th. Rel. Fields 103 (1995), pp. 249-271.

[2] J. Garnier, Homogenization in a periodic and time-dependent potential, SIAM, J. Appl. Math. 57 (1997), pp. 95-111.

[3] J. Garnier, A multi-scaled diffusion-approximation theorem. Applications to wave propagation in random media, ESAIM Probab. Statist. 1 (1997), pp. 183-206, consultable sur http://www.emath.fr/ps/ .

[4] J. Garnier, L. Videau, C. Gouédard et A. Migus, Statistical analysis of beam smoothing and some applications, J. Opt. Soc. Am. A 14 No 8 (1997), pp. 1928-1937.

[5] J. Garnier, J.-P. Fouque, L. Videau, C. Gouédard et A. Migus, Amplification of broadband incoherent light in homogeneously broadened media in presence of Kerr nonlinearity, J. Opt. Soc. Am. B 14 No 10 (1997), pp. 2563-2569.

[6] J. Garnier, Asymptotic transmission of solitons through random media, SIAM, J. Appl. Math. 58 (1998), pp. 1969-1995.

[7] J. Garnier, L. Videau, C. Gouédard et A. Migus, Propagation and amplification of incoherent pulses in dispersive and nonlinear media, J. Opt. Soc. Am. B 15 (1998), pp. 2773-2781.

[8] J. Garnier, Asymptotic behavior of the quantum harmonic oscillator driven by a random time-dependent electric field, J. Statist. Phys. 93 (1998), pp. 211-241.

[9] J. Garnier, L. Kallel et M. Schoenauer, Rigorous hitting times for binary mutations, Evolutionary Computation 7 (1999), pp. 173-203 (pas de version électronique disponible à cause du copyright).

[10] J. Garnier, Statistics of the hot spots of smoothed beams produced by random phase plates revisited, Phys. Plasmas 6 (1999), pp. 1601-1610.

[11] J. Garnier, C. Gouédard et A. Migus, Statistics of the hottest spot of speckle patterns generated by smoothing techniques, Journal of Modern Optics 46 (1999), pp. 1213-1232.

[12] L. Videau, C. Rouyer, J. Garnier et A. Migus, The motion of hot spots in smoothed beams, J. Opt. Soc. Am. A 16 (1999), pp. 1672-1681.

[13] F. Kh. Abdullaev et J. Garnier, Modulational instability in birefringent fibers with periodic and random dispersion, Phys. Rev. E 60 (1999), pp. 1042-1050.

[14] F. Kh. Abdullaev et J. Garnier, Solitons in media with random dispersive perturbations, Phys. D 134 (1999), pp. 303-315.

[15] J. Garnier, Energy distribution of the quantum harmonic oscillator under random time-dependent perturbations, Phys. Rev. E 60 (1999), pp. 3676-3687.

[16] J. Garnier, Light propagation in square law media with random imperfections, Wave Motion 31 (2000), pp. 1-19.

[17] J. Garnier, C. Gouédard et L. Videau, Propagation of a partially coherent beam under the interaction of small and large scales, Opt. Commun. 176 (2000), pp. 281-297.

[18] L. Videau, C. Rouyer, J. Garnier et A. Migus, Generation of a pure phase modulated pulse by cascading effect. A theoretical approach, J. Opt. Soc. Am. B 17 (2000), pp. 1008-1017.

[19] J. Garnier et L. Kallel, Statistical distribution of the convergence time of evolutionary algorithms for longpath problems, IEEE Transactions on Evolutionary Computation 4 (2000), pp. 16-30.

[20] J. Garnier et F. Kh. Abdullaev, Modulational instability induced by randomly varying coefficients for the nonlinear Schrodinger equation, Phys. D 145 (2000), pp. 65-83.

[21] J. Garnier, Propagation of solitons in a randomly perturbed Ablowitz-Ladik chain, Phys. Rev. E. 63 (2001), 026608.

[22] J. Garnier, High-frequency asymptotics for Maxwell's equations in anisotropic media. Part I: Linear geometric and diffractive optics, J. Math. Phys. 42 (2001), pp. 1612-1635.

[23] J. Garnier, High-frequency asymptotics for Maxwell's equations in anisotropic media. Part II: Nonlinear propagation and frequency conversion, J. Math. Phys. 42 (2001), pp. 1636-1654.

[24] J. Garnier, F. Abdullaev, E. Seve et S. Wabnitz, Role of polarization mode dispersion on modulational instability in optical fibers, Phys. Rev. E 63 (2001), 066616.

[25] J. Garnier, Solitons in random media with long-range correlation, Waves Random Media 11 (2001), pp. 149-162.

[26] M.-O. Bernard, J. Garnier et J.-F. Gouyet, Laplacian growth of parallel needles. A Fokker-Planck equation approach, Phys. Rev. E 64 (2001) 041401.

[27] J. Garnier et L. Videau, Statistical analysis of the sizes and velocities of laser hot spots of smoothed beams, Phys. Plasmas 8 (2001), pp. 4914-4924.

[28] J. Garnier, Long-time dynamics of Korteweg-de Vries solitons driven by random perturbations, J. Statist. Phys 105 (2001), pp. 789-833.

Actes de congrès :

[29] J. Garnier et J.-P. Fouque, Amplification of incoherent light with wide spectrum, Proceedings de la Troisième Conférence Internationale sur les Aspects Mathématiques et Numériques des Phénomènes de Propagation d'Ondes, édités par G. Cohen, SIAM-INRIA, 1995, pp. 584-593.

[30] J.-P. Fouque et J. Garnier, On waves in random media in the diffusion-approximation regime, Proceedings de la conférence Waves in Random and other Complex Media, édités par R. Burridge, G. Papanicolaou et L. Pastur, IMA Vol. 96, Springer Verlag, New York, 1997, pp. 31-48.

[31] J. Garnier, L. Videau, C. Gouédard et A. Migus, Which optical smoothing for LMJ and NIF ?, Proceedings de la conférence Solid state lasers for applications to ICF 1996, édités par M. André et H.T. Powell, SPIE, Vol. 3047, 1997, pp. 260-271.

[32] L. Videau, A. Boscheron, J. Garnier, C. Gouédard, C. Feral, M. Laurent, J. Paye, C. Sauteret et A. Migus, Recent results of optical smoothing on the Phebus Laser, Proceedings de la conférence Solid state lasers for applications to ICF 1996, édités par M. André et H.T. Powell, SPIE, Vol. 3047, 1997, pp. 757-762.

[33] L. Videau, J. Garnier, C. Feral, C. Gouédard, C. Sauteret et A. Migus, Spectral broadening and nonlinear limitation of partially incoherent pulses in high power amplifiers, Proceedings de la conférence CLEO'97, OSA Technical Digest Series, Vol. 11, 1997, pp. 353-354.

[34] L. Videau, E. Bar, C. Rouyer, C. Gouédard, J. Garnier, et A. Migus, Control of the amplification of large band amplitude modulated pulses in Nd-glass amplifier chain, Proceedings de la conférence Solid state lasers for applications to ICF 1998, édités par W. Howard Lowdermilk, SPIE, Vol. 3492, pp. 182-186.

[35] L. Videau, J. Garnier, C. Rouyer, et A. Migus, Speckle movement description in case of 1D-SSD and longitudinal-SSD for a temporal sinusoidal phase modulation, Proceedings de la conférence Solid state lasers for applications to ICF 1998, édités par W. Howard Lowdermilk, SPIE, Vol. 3492, pp. 277-284.

[36] F. Abdullaev et J. Garnier, Modulational instability of electromagnetic waves in randomly perturbed fibers à paraître dans les proceedings de la conférence SCT'99 (Solitons, Collapses, and Turbulence, Chernogolovka, Russia, 1999).

[37] F. Abdullaev, J. Garnier, E. Seve et S. Wabnitz, Modulational instability in optical fibers with polarization mode dispersion, proceedings de la conférence NLGW'99 (Nonlinear Guided Waves, Dijon, 1999), OSA Technical Digest Series, paper WB3.

[38] J. Garnier et L. Kallel, How to detect all maxima of a function ?, proceedings de la conférence Second EVONET Summer School on Theoretical Aspects of Evolutionary Computing (Anvers, 1999), Springer, Berlin, 2001, pp. 343-370.

[39] J. Garnier et F. Kh. Abdullaev, Long-range transmission of solitons in random media, proceedings de la conférence Photonics West (San José, 2001), SPIE Proceedings Series, Vol. 4271 (2001), pp. 32-42.

[40] J. Garnier, Some applications of the anisotropic diffraction in biaxial crystals, proceedings de la conférence Photonics West (San José, 2001), SPIE Proceedings Series, Vol. 4271 (2001), pp. 138-149.

Preprints :

[41] J. Garnier, Theoretical and numerical study of solitons in random media, note interne, version longue de [6].

[42] J. Garnier, Approche probabiliste du séquencage à grande échelle, note interne.

[43] J. Garnier et L. Kallel, Efficiency of local search with multiple local optima, soumis à SIAM Journal on Discrete Mathematics.

[44] J. Garnier, Instability of a quantum particle induced by a randomly varying spring coefficient, à paraître dans les proceedings de la conférence Ascona'99.

[45] J. Garnier et L. Kallel, Optimization of binary mutations for evolutionary algorithms, soumis à Evolutionary Computation.

[46] J. Garnier, Exponential localization versus soliton propagation, à paraître dans les proceedings du colloque OTAN "Nonlinearity and disorder".