Abstract
In this talk, I will present results from work with Laura Kanzler and Clément Mouhot concerning a unified derivation of (potentially) fractional diffusion limits for linear kinetic equations preserving between one and three macroscopic quantities and for which the microscopic equilibrium has an algebraic decay. The result relies on a construction of eigenquasimodes, based on the study of spectral projectors or on the extension of a method a la Ellis and Pisnky to a fractional setting (which is a result of independent interest).
