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Pluripotential Energy

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Abstract

We discuss a notion of the energy of a compactly supported measure in \( \mathbb{C}^n \) for n > 1 which we show is equivalent to that defined by Berman, Boucksom, Guedj and Zeriahi. This generalizes the classical notion of logarithmic energy of a measure in the complex plane \( \mathbb{C} \); i.e., the case n = 1.

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Authors and Affiliations

  1. University of Toronto, Toronto, ON, M5S 2E4, Canada

    Thomas Bloom

  2. Indiana University, Bloomington, IN, 47405, USA

    Norman Levenberg

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  1. Thomas Bloom
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  2. Norman Levenberg
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Correspondence to Norman Levenberg.

Additional information

Thomas Bloom was supported in part by NSERC grant.

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Bloom, T., Levenberg, N. Pluripotential Energy. Potential Anal 36, 155–176 (2012). https://doi.org/10.1007/s11118-011-9224-2

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