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The complex potential generated by the maximal measure for a family of rational maps

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Abstract

The exact complex potential generated by the maximal measure for a family of rational maps is given. The results are of analytical nature because the complex potential does not change nicely if the coordinates of a rational map are changed. There exist applications of this result to the theory of moments.

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Lopes, A.O. The complex potential generated by the maximal measure for a family of rational maps. J Stat Phys 52, 571–575 (1988). https://doi.org/10.1007/BF01019717

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  • DOI: https://doi.org/10.1007/BF01019717

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