## Abstract

We extend the results of (Zeitouni and Zelditch in Int. Math. Res. Not. 2010(20):3939-3992, 2010) on LDPs (large deviations principles) for the empirical measures of zeros of Gaussian rando polynomials s in one variable to P(φ)_{2} random polynomials. The speed and rate function are the same as in the associated Gaussian case. It follows that the expected distribution of zeros in the P(φ)_{2} ensembles tends to the same equilibrium measure as in the Gaussian case.

Original language | English (US) |
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Pages (from-to) | 619-635 |

Number of pages | 17 |

Journal | Journal of Statistical Physics |

Volume | 143 |

Issue number | 4 |

DOIs | |

State | Published - May 2011 |

## Keywords

- Large deviations
- P(φ) random polynomials

## ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

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