| Abstract | Coulomb and Riesz gases play a very important role in Physics. Typical examples include galaxies or self-gravitating stars, charged systems such as plasmas, two-dimensional and geophysical flows, dipolar systems such as dielectrics and diamagnets. But long range Riesz gases also appear in many unexpected mathematical situations, including Ginzburg-Landau vortices, eigenvalues of random matrices and of random Schrodinger operators, quantum chaos, Fekete points on manifolds, zeros of the Riemann function, modular forms and sphere packing problems. Coulomb and Riesz gases appear everywhere and seem to be sort of universala. |
