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published on May 21, 2026
Jumps, cusps and fractals in the solution of dispersive equations
By Beatrice Pelloni
Appears in collection : 2025 IHES Summer School – Statistical Aspects of Nonlinear Physics
We will focus on the statistical mechanics of large systems of particles with Coulomb or Riesz long-range repulsion, analyzed via an electrostatic formulation. Topics covered include: equilibrium measure, expansion of the free energy, limit point processes, fluctuations.