This article is cited in 4 scientific papers (total in 4 papers)
The Capacity of the Rational Preimage of a Compact Set
V. I. Buslaev
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
It is shown that a well-known expression for the capacity of the preimage of a compact set under a polynomial map remains valid in the case of a rational map, provided that the standard capacity of the preimage is replaced by its capacity in the external field determined by the poles in $\mathbb C$ of the rational function determining the map.
capacity, transfinite diameter, rational map, symmetric compact set.
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Mathematical Notes, 2016, 100:6, 781–790
V. I. Buslaev, “The Capacity of the Rational Preimage of a Compact Set”, Mat. Zametki, 100:6 (2016), 790–799; Math. Notes, 100:6 (2016), 781–790