Khinchin inequalities for uniforms on spheres with a deficit
Abstract
Abstract We sharpen the $$L_p$$ L p – $$L_2$$ L 2 comparison inequalities for $$p \ge 2$$ p ≥ 2 with best constants for sums of random vectors uniform on Euclidean spheres, providing a deficit term (optimal in high dimensions).
Fields of Study & Subjects
Point processes and geometric inequalities
Geometry and complex manifolds
Random Matrices and Applications
Publication details
- Journal / source
- Mathematische Zeitschrift
- Volume
- 313
- Issue
- 1
- Publication date
- 1 May 2026
- Language
- EN