Energy-based model of condensing on metric spaces

The mathematics of emergence is a recent topic of research in the modeling of population dynamics. Many scientists take this challenge and analyzed these phenomena in many contexts such as flocking, schooling, swarming... They have described the collective moves in groups by many continuous and discrete models in form of non linear discrete systems or differential equations. The model presented here gives a new idea of rules of self-organizing groups based on the local energy.

Autorentext

Born 1971 in Taourirt, Morocco. He received his B.Sc in mathematics/statistics from the university of Oujda, M.Sc in mathematics from the university of Darmstadt and his Ph.D Degree in mathematics from the university of Frankfurt. His research interests are Modeling, computational methods for SDE, SPDE and multi-agents systems.