About
I am a third-year PhD student in Probability Theory at CERMICS (École des Ponts ParisTech) under the supervision of Romain Abraham and Jean-François Delmas.
Research topic
Asymptotic behavior of functionals for large random trees, functionals on stable Lévy trees.
Publications and Preprints
- Global regime for general additive functionals of conditioned Bienaymé-Galton-Watson trees (with R. Abraham and J.-F. Delmas), Probab. Theory Related Fields 182, pages 277–351 (2022). (article, arXiv)
- Zooming in at the root of the stable tree, Electron. J. Probab. 27: 1-38 (2022). (article, arXiv)
- Conditioning (sub)critical Lévy trees by their maximal degree: decomposition and local limit (with R. Abraham and J.-F. Delmas), preprint. (arXiv)
Talks
- Bernoulli-IMS One World Symposium, August 2020: Phase transition for functionals of the size and height of conditioned Bienaymé-Galton-Watson trees. (slides)
- Séminaire des doctorants en aléatoire, IRMAR (Rennes), November 2020: Fonctionnelles additives sur les grands arbres de Galton-Watson. (slides)
- Journées MAS 2020, August 2021: Scaling limits of general additive functionals of conditioned Galton-Watson trees.
- Séminaire Probabilités-Statistiques, LAGA (Paris 13), October 2021: Fonctionnelles additives sur les grands arbres de Galton-Watson.
- Colloque des Jeunes Probabilistes et Statisticiens, October 2021: Fonctionnelles additives sur les grands arbres de Galton-Watson.
- Journée Young Statisticians and Probabilists, February 2022: Fonctionnelles additives sur les grands arbres de Galton-Watson.
Teaching
- Optimisation, 1A École des Ponts ParisTech
- Probabilités, 1A École des Ponts ParisTech
- Processus stochastiques et applications, 2A École des Ponts ParisTech
Contact
Email: michel.nassif@enpc.fr