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Erny Xavier

photo1.jpg Doctorant
Université d'Évry Val d'Essonne
Laboratoire de Mathématiques et Modélisation d'Évry (UMR 8071)
I.B.G.B.I., 23 Bd. de France, 91037 Évry Cedex
Bureau: 415
☎ +33 (0) 1 64 64 85
📠: +33 1 64 85
Mail: xavier.erny@univ-evry.fr

orcidId:0000-0002-3960-4085

About me

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

Research themes

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

Publications

  • X. Erny, E. Löcherbach, D. Loukianova (2021) White-noise driven conditional McKean-Vlasov limits for systems of particles with simultaneous and random jumps. Submitted. arXiv
  • X. Erny (2021) Well-posedness and propagation of chaos for McKean-Vlasov equations with jumps and locally Lipschitz coefficients. Submitted. arXiv
  • X. Erny (2020) A convergence criterion for systems of point processes from the convergence of their stochastic intensities. Accepted at ECP. 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. Accepted at Bernoulli. arXiv

Talks

  • Séminaire SAMM (Université Paris 1 Panthéon Sorbonne, SAMM) 5 February 2021 : Conditional propagation of chaos for mean field systems of interacting neurons slides
  • 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

Posters

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

Report/Thesis

  • 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

Teaching

Agrégation

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

Université d'Évry

  • 2020-2021 : Teaching assistant, Methodology (L1 Mathematics-Computer Science) → Methods and exercises sheet : sheet
  • 2020-2021 : Teaching assistant, Probability (L2 Physics)
  • 2020-2021 : Teaching assitant, Probability (L2 Mathematics) → Exercises sheets : TD1, TD2, TD3, TD3bis, TD4, TD5, TD6
  • 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)

Lycée Saint-Louis

  • 2017-2018 : Oral examiner, Mathematics (MPSI)
members/xerny/welcome.txt · Last modified: 2021/03/09 16:28 by Xavier Erny

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