42:56
publiée le 9 juin 2026
Local sensing and nonlinear diffusion in models of chemotactic aggregation
De Ariane Trescases
Apparaît dans les collections : The Analysis of Complex Quantum Systems: Large Coulomb Systems and Related Matters / Analyse des systèmes complexes: grands systèmes coulombiens et systèmes apparentés, Distinguished women in mathematics
We are interested in the statistical mechanics of systems of N points with Coulomb interactions in general dimension for a broad temperature range. We discuss local laws characterizing the rigidity of the system at the microscopic level, as well as free energy expansion and Central Limit Theorems for fluctuations.