Nadia Belmabrouk

About Me

I am currently an ATER at Paris Nanterre University.

From October 2023 to July 31, 2025, I have been a postdoctoral researcher at CMAP (École Polytechnique), in the PEIPS team. My research was partially supported by an INSERM/INCa project in collaboration with Saint-Louis Hospital, as well as by the ERC SINGER led by Sylvie Méléard. My postdoctoral project focused on understanding cancer cell invasion through two main aspects: a theoretical part based on the multiscale analysis of a birth-death process, and an applied part centered on the analysis of clinical data.

I obtained a joint PhD between the University of Paris-Est Créteil (LAMA) and the University of Sfax, Tunisia, under the supervision of Arnaud Le Ny and Mondher Damak. I defended my thesis in December 2023. My research focused on stochastic differential equations and Hawkes processes.

Research Topics

• Interacting particle systems: Hawkes processes, birth-death processes, invasion models, Langevin equations
• Stochastic analysis and large-scale limits: pseudo-periodic solutions, stochastic differential equations with jumps, long-time behavior of long-range interactions, population dynamics limits
• Biology and clinical data analysis: dynamic Bayesian networks

Publications

• [1] Measure pseudo almost periodic solution for a class of nonlinear delayed stochastic evolution equations driven by Brownian motion. Nadia Belmabrouk, Mondher Damak, Mohsen Miraoui. Filomat, 2021.
  🔗 HAL · 🔗 FILOMAT
• [2] Dirichlet eigenvalue problems of irreversible Langevin diffusion.
  Nadia Belmabrouk, Mondher Damak, Najib Yaakoubi. Statistics & Probability Letters, 2022.
  🔗 HAL · 🔗 Statistics & Probability Letters
• [3] Stochastic Nicholson’s blowflies model with delays.
  Nadia Belmabrouk, Mondher Damak, Mohsen Miraoui. International Journal of Biomathematics, 2023.
  🔗 HAL · 🔗 International Journal of Biomathematics

Preprints

• [4] Long-time asymptotics for multivariate Hawkes processes with long-range interactions.
  Nadia Belmabrouk 🔗 HAL
• [5] Invasion dynamics for a quasi-critical birth-death process.
  Vincent Bansaye, Nadia Belmabrouk, Xavier Erny, Simon Girel 🔗 HAL

Work in Progress

• [6] Bayesian hierarchical modeling and MCMC method for Hematologic Mutations and Treatment Response.
  Nadia Belmabrouk, Ana Fernández Baranda, Nabih Maslah, Sylvie Méléard

Conference (co-)organization

• Modèles Probabilistes et Statistiques pour la Biologie,
  Université Paris Nanterre, 18–20 May 2026.
  with Xavier Erny
  Website