3 problems

Fekete–Pommerenke energy conjecture.

Let $S_d$ be the real $d$-simplex, let $F_4$ be the set of $N_4=\binom{d+4}{4}$ points constructed in the paper, and let $\ell_i$ be its fundamental Lagrange polynomials. The degre…

Let $(L_1,\phi_1),\ldots,(L_m,\phi_m)$ be a collection of pairs as above, with normalized volumes as defined in the surrounding text. For each pair, let $\mu_{(L_j,\phi_j)}$ denote…