<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>Pluripotential energy and large deviation</dc:title>
<dc:creator>Thomas Bloom</dc:creator><dc:creator>Norm Levenberg</dc:creator>
<dc:subject>32U20</dc:subject><dc:subject>32U15</dc:subject><dc:subject>60B99</dc:subject><dc:subject>large deviation principle</dc:subject><dc:subject>pluripotential energy</dc:subject>
<dc:description>We generalize results from [Th. Bloom and N. Levenberg, \textit{Pluripotential energy}, Potential Anal. \textbf{36} (2012), no. 1, 155--176] relating pluripotential energy to the electrostatic energy of a measure given in [R. Berman, S. Boucksom, V. Guedj, and A. Z\&#39;eriahi, \textit{A variational approach to complex Monge-Ampere equations}, preprint, available at http://arxiv.org/abs/arXiv:0907.4490]. As a consequence, we obtain a large deviation principle for a canonical sequence of probability measures on a nonpluripolar compact set $K\subset\mathbb{C}^n$. This is a special case of a result of R. Berman [Determinantal point processes and fermions on complex manifolds: large deviations and bosonization, preprint, available at http://arxiv.org/abs/arXiv:0812.4224v2]. For $n=1$, we include a proof that uses only standard techniques of weighted potential theory.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2013</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2013.62.4930</dc:identifier>
<dc:source>10.1512/iumj.2013.62.4930</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 62 (2013) 523 - 550</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>