Kinetic theory of long-range interacting systems
The example of stellar dynamics in galactic nuclei
Most galaxies harbor a supermassive black hole in their centre around which orbits a stellar cluster, the galactic nucleus. The unique proximity of the Milky-Way's central black hole, SgrA*, offers an extraordinary opportunity to study such a crowded environment. Although galactic nuclei are among the densest stellar systems in the universe, the steep potential well generated by the central black hole allows for efficient orbital interactions between the stars. Ultimately, this drives the relaxation of the stellar orbits through an intricate hierarchy of dynamical processes. In this presentation, using galactic nuclei as a pretext, I will report on recent developments in the kinetic theory of long-range interacting systems, focusing on the main ideas/methods on which they rely.