A. Eremenko, A. Gabrielov, Rational Functions with Real Critical Points and the B. and M. Shapiro Conjecture in Real Enumerative Geometry, Annals of Mathematics, Second Series, Vol. 155, No. 1 (Jan., 2002), pp. 105-129
No takes yet. Share an insight, caveat, or question.
Erëmenko et al. (2002) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: