Zero-counting measures of P(D)^n applied to rational h with simple poles converge vaguely to [m(b-1)/(bm-r)] times the Bøgvad-Hägg measure on the Voronoi diagram of the poles, with a proportion of zeros escaping to infinity unless P is a pure derivative.
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Voronoi limit measures for iterates of constant-coefficient differential operators on rational functions with simple poles
Zero-counting measures of P(D)^n applied to rational h with simple poles converge vaguely to [m(b-1)/(bm-r)] times the Bøgvad-Hägg measure on the Voronoi diagram of the poles, with a proportion of zeros escaping to infinity unless P is a pure derivative.