Alexander E. Litvak

Minimal Dispersion on the Sphere

Abstract The minimal spherical cap dispersion $${{\,\textrm{disp}\,}}_{\mathcal {C}}(n,d)$$ disp C ( n , d ) is the largest number $$\varepsilon \in (0,1]$$ ε ∈ ( 0 , 1 ] such that, for every n points on the d -dimensional Euclidean unit sphere $$\mathbb {S}^d$$ S d , there exist...