English

Gaussian Limit for High-Dimensional Spherical Means

Probability 2019-03-19 v1 Functional Analysis

Abstract

We show that the limit of integrals along slices of a high dimensional sphere is a Gaussian integral on a corresponding finite-codimension affine subspace in infinite dimensions.

Keywords

Cite

@article{arxiv.1903.07555,
  title  = {Gaussian Limit for High-Dimensional Spherical Means},
  author = {Amy Peterson and Ambar N. Sengupta},
  journal= {arXiv preprint arXiv:1903.07555},
  year   = {2019}
}
R2 v1 2026-06-23T08:11:47.355Z