Modified logarithmic potential theory and applications

Published 24 Feb 2015 in math.CA, math.CV, and math.PR | (1502.06925v2)

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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