Publications

Also available on zbMATH, arXiv.

Articles

1. Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the 3d ball with N. Burq, C. Sun, N. Tzvetkov · preprint, 2026 arXiv
2. The second Picard iteration of NLS on the 2d sphere does not regularize Gaussian random initial data with N. Burq, M. Latocca, C. Sun, N. Tzvetkov · EMS Surv. Math. Sci., 2025 arXivjournal
3. Probabilistic well-posedness for the nonlinear Schrödinger equation on the 2d sphere I: positive regularities with N. Burq, C. Sun, N. Tzvetkov · preprint, 2024 arXiv
4. Modified scattering for the cubic Schrödinger equation on Diophantine waveguides with G. Staffilani · Ann. PDE, 2024 arXivjournal
5. Long time stability for cubic nonlinear Schrödinger equations on non-rectangular flat tori with J. Bernier · J. Éc. Polytech. Math., 2024 arXivjournal
6. Exponential stability of solutions to the Schrödinger–Poisson equation with J. Bernier, B. Grébert, Z. Wang · Disc. Cont. Dyn. Syst., 2024 arXivjournal
7. Refined probabilistic local well-posedness for a cubic Schrödinger half-wave equation with L. Gassot, S. Ibrahim · J. Differ. Equ., 2022 arXivjournal
8. Pathological set of initial data for scaling-supercritical nonlinear Schrödinger equations with L. Gassot · Int. Math. Res. Not., 2022 arXivjournal
9. Scattering for the cubic Schrödinger equation in 3D with randomized initial data Trans. Amer. Math. Soc., 2021 arXivjournal
10. Asymptotic stability of small ground states for NLS under random perturbations Ann. Inst. H. Poincaré Anal. Non Linéaire, 2020 arXivjournal

PhD thesis

Probabilistic approaches for nonlinear Schrödinger equations, Université Paris-Saclay (Orsay), 2022. Advisors: Nicolas Burq and Frédéric Rousset. Manuscript and introduction: Notes page.