Quantitative stability of the intersection body operator near the ball, and the dynamical origin of the two--dimensional degeneracy

S. Spektor

Let $\IB$ denote the intersection body operator on star bodies in ${\mathbb{R}}^n$. A recent theorem of Milman, Shabelman and Yehudayoff establishes that for $n\ge 3$ the equation $\IB^2 K =…