8 citations · 8 across the 3 of their papers we have counts for
3 papers
math.PR2019
Polynomials and High-Dimensional Spheres
Amy Peterson, Ambar N. Sengupta
We show that a natural class of orthogonal polynomials on large spheres in dimensions tend to Hermite polynomials in the large- limit. We determine the behavior of the spher…
math.PR2019
Limiting Means for Spherical Slices
Amy Peterson, Ambar N. Sengupta
We show that for a suitable class of functions of finitely-many variables, the limit of integrals along slices of a high dimensional sphere is a Gaussian integral on a correspondin…
math.PR2019★ 8 cited
Gaussian Limit for High-Dimensional Spherical Means
Amy Peterson, Ambar N. Sengupta
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.