I am a PhD student since October 2018 under the supervision of Dasha Loukianova (Université d'Évry, LaMME) and Eva Löcherbach (Université Paris 1, SAMM). My thesis is dedicated to the study of large scale limit of (stochastic) particle systems in a diffusive regime, and particularly for systems with Hawkes-type dynamics. I am more generally interested in applications of mathematics and computer science to model biological phenomena. CV

• Interacting particle systems, nonlinear multivariate Hawkes processes, mean field limits, propagation of chaos
• Point processes, Poisson measures

• X. Erny (2020) A convergence criterion for systems of point processes from the convergence of their stochastic intensities. arXiv
• X. Erny, E. Löcherbach, D. Loukianova (2020) Conditional propagation of chaos for mean field systems of interacting neurons. arXiv
• X. Erny, E. Löcherbach, D. Loukianova (2019) Mean field limits for interacting Hawkes processes in a diffusive regime. arXiv

• Journées des Probabilités 24-28 June 2019 : Mean field limits for Hawkes processes in a diffusive regime slides
• Les Probabilités de Demain 14 June 2019 : Mean field limits for Hawkes processes in a diffusive regime Video

• International Conference on Mathematical Neuroscience 2020 : Conditional propagation of chaos for mean field systems of interacting neurons poster

Agrégation externe de Mathématiques option D (Computer Science), rank: 98 (year: 2017)
list (non-exhaustive) of “développements”: Développements

• 2018-2020 : Teaching assistant, Probability (L2 Mathematics/L2 Computer science) → Exercises sheets (2019/2020): TD1, TD2, TD3, TD4, TD5
• 2018-2020 : Teaching assistant, Probability (L1 Biology) → Exercises sheets (2019/2020): TDs
• 2018-2020 : Oral examiner, Mathematics (L1 Mathematics)

• 2017-2018 : Oral examiner, Mathematics (MPSI)