Léo Vivion
I am currently post-doc at the Laboratoire de Mathématiques Pures et Appliquées of the Université du Littoral Côte d'Opale. |
Contact
e-mail: lvivion.math [at] gmail.com
Research Topics
My research work focuses on two main topics:
- Partial differential equations. Kinetic equations, Vlasov-like equations, Landau damping. Mean field limit, semi-classical limit. Shrödinger-like equations, solitary waves, quantum dissipative systems.
- Symbolic dynamical systems. hypercubic billiard, complexity, abelian complexity, impbalance.
Publications
Articles published in peer-reviewed journals
- T. Goudon and L. Vivion, On quantum dissipative systems: ground states and orbital stability, Journal de l'Ecole Polytechnique -- Mathématiques, Volume 10, 447-511, 2023
- T. Goudon and L. Vivion, Landau damping in dynamical Lorentz gases, Bulletin de la SMF, 149(2), 237-307, 2021
- T. Goudon and L. Vivion, Numerical investigation of solitary waves stability for quantum dissipative systems, Journal of Mathematical Physics, 62(1), 2021
- T. Goudon, and L. Vivion, Numerical investigation of Landau damping in dynamical Lorentz gases, Phys. D., 403, 2020
- M. Andrieu and L. Vivion, Minimal complexities for infinite words written with d letters, Invited paper, Combinatorics on words, 14th international conference, Springer, 3-13, 2023
- M. Andrieu and L. Vivion, Imbalances in hypercubic billiard words, Mons theoretical computer science days, 2022
- M. Andrieu and L. Vivion, Characterization of imbalances in hypercubic billiard words.
- M. Andrieu and L. Vivion, Abelian complexity of hypercubic billiard words.
Short vita
- 2024-now: Post-doctoral position under the supervision of Mélodie Andrieu, LMPA, Univeristé du Littoral Côte d'Opale, Calais.
- 2021-2023: ATER (teaching position), I2M, Aix-Marseille Université, Marseille.
- 2020-2021: Post-doctoral position under the supervision of Daniel Han-Kwan, CMLS, Ecole Polytechnique, Palaiseau.
- 2017-2020: PhD student under the supervision of Thierry Goudon, LJAD, Université Côte d'Azur, Nice.
- PhD title: Classical and quantum particles interacting with their environment: stability analysis and asymptotic issues.
- PhD defense: September 8th, 2020.
- Manuscript and Slides.
- 2015-2017: Scholarship at ENS Rennes and Master's degree in mathematics at Université Nice Sophia Antipolis.
Teaching
2021-2023: ATER (196h/year)
- Analysis (series, integration, DLs), cours + TD, L2.
- General Mathematics (algebra and analysis), cours + TD, L1 et Année de Mise à Niveau Scientifique.
- Khôlles (linear algebra, integration, group theory), L2 MPCI.
- Analysis (integration, ODE, parametric curves), TD, L1.
- Descriptive statistics, TD, L1.
- Linear algebra, TD, L1 and L2.
- Analysis, TD, L1.
- Analysis and optimization, TD, L1.
- Khôlles.
Other tasks
- 2019-2020: PhD student representative (elected) at the doctoral school Sciences Fondamentales et Appliquées, Université Côte d'Azur, Nice.