Thin-shell theory for rotationally invariant random simplices

Johannes Heiny, Samuel Johnston, Joscha Prochno

For fixed functions $G,H:[0,\infty )\to [0,\infty )$, consider the rotationally invariant probability density on ${\mathbb{R}}^n$ of the form \[ μ^n(ds) = \frac{1}{Z_n} G(\|s\|_2)\, e^{…