Let phi(z) be a polynomial of degree at least 2 with coefficients in a numberfield K. Iterating phi gives rise to a dynamical system and a correspondingcanonical height function, as defined by Call and Silverman. We prove a simpleproduct formula relating the transfinite diameters of the filled Julia sets ofphi over various completions of K, and we apply this formula to give ageneralization of Bilu's equidistribution theorem for sequences of points whosecanonical heights tend to zero.
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