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.
- Large deviations
- P(φ) random polynomials
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics