M. Mastrianni

activity

20142026

most citedThe Spherical Cap Discrepancy of HEALPix Points

2 citations · 3 across the 7 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

math.CA2023

Single radius spherical cap discrepancy via gegenbadly approximable numbers

Dmitriy Bilyk, Michelle Mastrianni, Stefan Steinerberger

A celebrated result of Beck shows that for any set of $N$ points on $S^{d}$ there always exists a spherical cap $B \subset S^{d}$ such that number of points in the ca…

math.CA2023

Polarization and Greedy Energy on the Sphere

Dmitriy Bilyk, Michelle Mastrianni, Ryan W. Matzke +1

We investigate the behavior of a greedy sequence on the sphere $S^{d}$ defined so that at each step the point that minimizes the Riesz $s$ -energy is added to the existing se…