Widom-factor limit points for multiple arcs and curves

Characterize the limit points of the Widom factors \(\mathcal W_n(\gamma)\) when \(\gamma\) consists of several disjoint arcs and curves, thereby completing Widom’s program for such sets.

Background

The paper proves the asymptotic Widom-factor formula for a single analytic Jordan arc, confirming the revised Christiansen–Simon–Zinchenko conjecture. The authors then identify the corresponding unresolved extension of Widom’s program to sets formed from multiple disjoint arcs and curves.

The requested characterization concerns the possible subsequential limits of the normalized Chebyshev norms $\mathcal W_n(\gamma)$ in this more complicated geometric setting; the authors state that new ideas appear necessary.