A note about the uniform distribution on the intersection of a simplex and a sphere
Probability
2016-09-27 v3
Abstract
Uniform probability distributions on balls and spheres have been studied extensively and are known to behave like product measures in high dimensions. In this note we consider the uniform distribution on the intersection of a simplex and a sphere. Certain new and interesting features, such as phase transitions and localization phenomena emerge.
Cite
@article{arxiv.1011.4043,
title = {A note about the uniform distribution on the intersection of a simplex and a sphere},
author = {Sourav Chatterjee},
journal= {arXiv preprint arXiv:1011.4043},
year = {2016}
}
Comments
21 pages. To appear in J. Topol. Anal. This revision fixes a small error at the bottom of page 18, which was brought to my attention by Johel Beltran and Wilson Cabanillas