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arXiv · 1502.06925

Modified logarithmic potential theory and applications

T. Bloom·N. Levenberg·V. Totik·F. Wielonsky
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Abstract

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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T. Bloom, N. Levenberg, V. Totik, F. Wielonsky. 2015-02-24. Modified logarithmic potential theory and applications. https://arxiv.org/abs/1502.06925

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