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arxiv: 1502.06925 · v2 · pith:2PA6J2OMnew · submitted 2015-02-24 · 🧮 math.CA · math.CV· math.PR

Modified logarithmic potential theory and applications

classification 🧮 math.CA math.CVmath.PR
keywords functionspotentialtheoryapplicationsarisebernstein-walshcertaindevelop
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We develop potential theory including a Bernstein-Walsh type estimate for functions of the form $p(z)q(f(z))$ where $p,q$ are polynomials and $f$ is holomorphic. Such functions arise in the study of certain ensembles of probability measures and our estimates lead to probabilistic results such as large deviation principles.

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