orcidId:0000-0002-3960-4085

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. Accepted at EJP. arXiv
• X. Erny, E. Löcherbach, D. Loukianova (2019) Mean field limits for interacting Hawkes processes in a diffusive regime. In minor revisions at Bernoulli. arXiv

• Séminaire PMF (Université d'Evry, LaMME) 7 January 2021 : Conditional propagation of chaos for mean field systems of interacting neurons slides
• Groupe de travail PEIPS (Ecole Polytechnique, CMAP) 12 November 2020 : Conditional propagation of chaos for mean field systems of interacting neurons slides
• 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

• Master thesis “Limite de grande échelle de processus de Hawkes” (Sorbonne Université) master thesis
• Internship report “Modélisation thermodynamique des réseaux de régulation de gènes” (Ecole Normale Supérieure Paris-Saclay) internship report

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

• 2020-2021 : Teaching assistant, Methodology (L1 Mathematics-Computer Science)
• 2020-2021 : Teaching assistant, Probability (L2 Physics)
• 2020-2021 : Teaching assitant, Probability (L2 Mathematics)
• 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, Algebra and Analysis (L1 Mathematics)

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