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Séminaire Calcul stochastique

organisé par l'équipe Probabilités

  • Axel Hutt

    Additive noise shapes the state and stability of random networks

    20 janvier 2026 - 10:45Salle de séminaires IRMA

    Natural systems are open to their environment and thus subjected to external perturbations. Some of such systems may be described as large randomly connected networks. The present work investigates how external additive random perturbations affect the state and stability of such finite-size random networks. We observe analytically an additive noise-induced system evolution (ANISE), whose stationary state depends on the additive noise level. In a first pilot study, the principal analytical approach is demonstrated by application to a nonlinear Erdos-Renyi network. In a second more detailed study, a nonlinear random network of excitatory and inhibitory sub-networks describes successfully Event-Related Desynchronization and Synchronization (ERD/ERS) observed in experimental brain signals. In sum, we find that additive noise impacts on the system's stationary state and in turn also affects the system's stability and hence its spectral properties.

  • Nicolas Forien

    TBA

    3 février 2026 - 10:45Salle de séminaires IRMA

    tba

  • Fabien Panloup

    TBA

    10 février 2026 - 10:45Salle de séminaires IRMA

    TBA