Maxime Gazeau

Publications

  1. PhD thesis: Mathematical analysis of light propagation in optical fibers with randomly varying birefringence [PDF].

  2. A diffusion approximation theorem for a nonlinear PDE with application to random birefringent optical fibers, with Anne de Bouard. Ann. Appl. Probab. Volume 22, Number 6 (2012), 2460-2504 [PDF].

  3. Probability and pathwise order of convergence of a semidiscrete scheme for the stochastic Manakov equation, SIAM J. Numer. Anal., vol. 52, no. 1, pp. 533-553, (2014). [PDF].

  4. Numerical simulation of nonlinear pulse propagation in optical fibers with randomly varying birefringence, JOSA B, Vol. 30, Issue 9, pp. 2443-2451 (2013) [PDF].

  5. Analysis and simulation of rare events for SPDEs. With C.E. Bréhier, L. Goudenège and M. Rousset. ESAIM: Proceedings and Surveys, 48:364-384, (2015). Arxiv

  6. Unbiasedness of some Generalized Adaptive Multilevel Splitting algorithms. In collaboration with C.E. Bréhier, L. Goudenège, T. Lelièvre and M. Rousset. Accepted in Ann. Appl. Probab (2016). Arxiv

  7. Role of nonlinearity in non-Hermitian quantum mechanics: description of linear quantum electrodynamics from the nonlinear Schrodinger Poisson equation. With G. Reinisch. Accepted in The European Physical Journal Plus (2016). [PDF].

Preprints

  1. Role of symmetry breaking on modulation instability in a random environment.

  2. Spectral gaps and Bloch decomposition for the linearized Water - Waves equations. In collaboration with W. Craig, C. Lacave and C. Sulem.

  3. An Hamiltonian approach of nonlinear Bloch modulation for the Water-Waves equations. In collaboration with W. Craig, P. Guyenne and C. Sulem.

Conferences

  • SIAM Conference on Analysis of Partial Differential Equations, Scottsdale, USA, 2015.

  • PIMS Industrial Problem Solving Workshop, Saskatoon, Canada, 2015.

  • Canadian Mathematical Society Summer meeting, Charlottetown, Prince Edward Island, Canada, 2015.

  • Numerical analysis congress (CANUM), Carry le Rouet, France, 2014.

  • Journées EDP, Fréjus, France, 2014.

  • Third International Conference: Nonlinear Waves -- Theory and Applications, Beijing, China, 2013.

  • EDP normandie (poster), Caen, France, 2013.

  • GDR Quantum dynamics, Lille, France, 2013.

  • Numerical analysis congress (CANUM), Superbesse, France, 2012.

  • SMAI Congress (poster), Guidel, France, 2011.

Seminars

  • Modelling and Computational science seminar, University of Ontario Institute of Technology, Canada, 2015.

  • Analysis and PDE seminar, University of Grenoble, France, 2015.

  • PDE seminar, University of Toronto, Canada, 2015.

  • Analysis seminar, University of Toronto, Canada, 2014.

  • Probability seminar, University of Lille 1, France, 2013.

  • Numerical analysis and PDEs seminar, University of Lille 1, France, 2012.

  • Probability seminar, Tohoku University, Japan, 2011.

  • Analysis seminar, Tokyo University, Japan, 2011.

  • Probability seminar, Ritsumeikan University, Japan, 2011.

  • Analysis and Probability seminar, Kyoto University, Japan, 2011.