Microscopic behavior of interacting particles : Coulomb, Riesz and log-gases
Microscopic behavior of interacting particles : Coulomb, Riesz and log-gases
This thesis is devoted to the study of statistical physics systems which can represent charged interacting particles or eigenvalues of random matrices. We are interested in particle gases with logarithmic interaction in dimension 1 and 2 and with Coulomb/Riesz interactions in general dimension. We study the microscopic behavior by establishing …