Thermodynamics of gravitational clustering phenomena: $N$-body self-gravitating gas on the sphere ${\mathbb{S}}^3\subset {\mathbb{R}}^4$

F. Tello-Ortiz, L. Velazquez

This work is devoted to the thermodynamics of gravitational clustering, a collective phenomenon with a great relevance in the $N$-body cosmological problem. We study a classical se…