Photo
Aix-Marseille University

Institut de Mathématiques de Marseille (I2M)
Department of Mathematics - UMR 7373
3 place Victor Hugo Case 19, 13331 Marseille Cedex 3
France

christophe.gomez '[[a]]' univ-amu.fr
Tel: (+33) (0) 4 13 55 13 28
photo

Education

2012-...

Assistant Professor at Aix-Marseille University

2010-2012

Postdocoral Fellow at Stanford University

2009-2010

ATER (Instructor) at Paris 7 University .

2006-2009

Ph.D in Applied Mathematics on wave propagation and time reversal in random waveguides under the supervision of Josselin Garnier, at the Laboratoire de Probabilités et Modèles Aléatoires (LPMA), Université Paris 7.

Publications and preprints


  • C. Gomez : Time-reversal superresolution in random waveguides, SIAM Multiscale Model. Simul., vol. 7, No. 3, pp. 1348-1386 (2009). (pdf) (journal).

  • C. Gomez : Wave propagation in shallow-water acoustic random waveguides, Commun. Math. Sci., vol. 9, No. 1, pp. 81-125 (2011). (pdf)Long version (70 pages) : arxiv:0911.5646v1 [math PR](pdf)(journal).

  • C. Gomez : Radiative transport limit for the random Schrödinger equation with long-range correlations, J. Math. Pures Appl., vol. 98, No. 3, pp. 295-327 (2012) (pdf)(journal).

  • C. Gomez : Wave decoherence for the random Schrödinger equation with long-range correlations, Commun. Math. Phys., Vol. 320, Issue 1, pp 37-71 (2013). (pdf)(journal).

  • C. Gomez : Loss of resolution for the time reversal of wave in underwater acoustic random channels, Math. Mod. Meth. App. Sci., vol. 23, No. 11, pp. 2065-2110 (2013) (pdf)(journal).

  • C. Gomez and O. Pinaud : Asymptotics of a time-splitting scheme for the random Schrödinger equation with long-range correlations, Math. Model. Numer. Anal., 48, pp.411-- 431 (2014) (pdf)(journal).

  • C. Gomez : Wave Propagation in Underwater Acoustic Waveguides with Rough Boundaries. Commun. Math. Sci., 13 pp 2005-2052 (2015) (pdf)(journal).

  • C. Gomez, O. Pinaud, and L. Ryzhik : Hypoelliptic estimates in radiative transfer, Commun. Part. Diff. Eq, 41, pp. 150-184 (2015) (pdf)(journal).

  • C. Gomez and M. Hauray : Rigorous derivation of Lindblad equations from quantum jumps processes in 1D, Preprint (2026) (pdf).

  • C. Gomez, O. Pinaud, and L. Ryzhik : Radiative transfer with long-range interactions: regularity and asymptotics. SIAM Multiscale Model. Simul., 15, pp. 1048–1072 (2017). (pdf)(journal).

  • C. Gomez and O. Pinaud : Fractional White-Noise Limit and Paraxial Approximation for Waves in Random Media , Arch. Rat. Mech. Anal., 226, pp. 1061-1138 (2017) (pdf) (journal).

  • C. Gomez and N. Hartung : Stochastic and deterministic models for the metastatic emission process: formalisms and crosslinks. Cancer Systems Biology : Methods and Protocols, Springer 2018 (pdf).(book).

  • C. Gomez and K. Solna : Wave propagation in random waveguide with long-range correlations. Commun. Math. Sci., 16, pp. 1557 – 1596 (2018) (pdf).(journal).

  • C. Gomez and O. Pinaud : Monte Carlo methods for radiative transfer with singular kernels. SIAM J. Sci. Comput., 40, pp. A1714-A1741 (2018) (pdf)(journal).

  • C. Gomez, G.Iyer, H. Le, and A. Novikov : An oscillator driven by algebraically decorrelating noise. Commun. Math. Phys., 402, pp. 231--284 (2023)(pdf)(journal).

  • A. Messaoudi, R. Cottereau and C. Gomez: Boundary effects in radiative transfer of acoustic waves in a randomly fluctuating half-space. SIAM Multiscale Model. Simul., 21, pp. 1299--1321 (2023) (pdf)

  • C. Gomez and O. Pinaud: A Monte Carlo method for 3D radiative transfer equations with multifractional singular kernels. J. Comput. Phys., 489, 112279 (2023) (pdf)(journal).

  • C. Gomez : An effective fractional paraxial wave equation for wave-fronts in randomly layered media with long-range correlations. SIAM Multiscale Model. Simul., 21, pp. 1410--1456 (2023) (pdf)

  • A. Messaoudi, R. Cottereau and C. Gomez : Weak localization in radiative transfer of acoustic waves in a randomly-fluctuating slab, Wave Motion, 130 (2024), pp. 103377 (pdf)

  • C. Gomez and K. Solna : Reflection and transmission problems for high-frequency waves at a randomly perturbed interface: generalized Snell's laws. Submitted (pdf).


Habilitation Thesis : Some aspects of high frequency wave propagation in randomly perturbed media. (pdf)


Ph.D Thesis : Wave propagation and time reversal in random waveguides. (pdf)

Some python notebooks of selected lectures (in french) - UNDER CONSTRUCTION