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Paper detail

Pluripotential energy and large deviation

We generalize our previous results relating pluripotential energy with the electrostatic energy of a measure given by Berman, Boucksom, Guedj and Zeriahi. As a consequence, we obtain a large deviation principle for a canonical sequence of probability measures on a nonpluripolar compact set K in C^n. This is a special case of a result of R. Berman. For n=1, we include a proof that uses only standard techniques of weighted potential theory.

preprint2012arXivOpen access
Tom BloomNorm Levenberg
math.CV
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Tom BloomNorm Levenberg

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