Speaker
Dmitry Zaporozhets
(St. Petersburg Department of Steklov Institute of Mathematics)
Description
The classical Steiner formula expresses the volume of the neighborhood of a convex compact set in $\mathbb{R}^d$ as a polynomial in the radius of the neighborhood. In the work of Tsirelson (1985), this result was extended to the infinite-dimensional case. A spherical analogue of the Steiner formula for convex subsets of $\mathbb{S}^{d-1}$ is also well-known. Using Tsirelson's idea of applying the theory of Gaussian processes, we obtain an infinite-dimensional version of this spherical analogue.
The talk is based on a joint work with Maria Dospolova.
Primary author
Dmitry Zaporozhets
(St. Petersburg Department of Steklov Institute of Mathematics)
