Modified logarithmic potential theory and applications

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.

This version corrects some errors from the previous version; generalizes the potential-theoretic setting; incorporates a title change; and adds an additional co-author

References in corpus (1)

• Muttalib--Borodin ensembles in random matrix theory --- realisations and correlation functions

Cited by in corpus (1)

• Bernstein-Markov: a survey