The transfinite diameter of the real ball and simplex
Volume 106 / 2012
Annales Polonici Mathematici 106 (2012), 83-96
MSC: Primary 32U15.
DOI: 10.4064/ap106-0-6
Abstract
We calculate the transfinite diameter for the real unit ball $B_d:=\{x\in \mathbb R^d : |x|\le 1\}$ and the real unit simplex $T_d:=\{x\in\mathbb R^d_+ : \sum_{j=1}^dx_j\le1\}.$