Modified logarithmic potential theory and applications

T. Bloom; N. Levenberg; V. Totik; F. Wielonsky

Modified logarithmic potential theory and applications

Classical Analysis and ODEs 2015-10-30 v2 Complex Variables Probability

Authors: T. Bloom , N. Levenberg , V. Totik , F. Wielonsky

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.

Keywords

special functions special functions and series expansions q-series and q-analogues

Cite

@article{arxiv.1502.06925,
  title  = {Modified logarithmic potential theory and applications},
  author = {T. Bloom and N. Levenberg and V. Totik and F. Wielonsky},
  journal= {arXiv preprint arXiv:1502.06925},
  year   = {2015}
}

Comments

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

Modified logarithmic potential theory and applications

Abstract

Keywords

Cite

Comments

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