Universal large deviations for Kac polynomials
Year: 2016
Type: preprint
Abstract: We prove the universality of the large deviations principle for the empirical measures of zeros of random polynomials whose coefficients are i.i.d. random variables possessing a density with respect to the Lebesgue measure on C, R or R + , under the assumption that the density does not vanish too fast at zero and decays at least as exp --|x| $ρ$ , $ρ$ \textgreater{} 0, at infinity.
Source: arXiv (Cornell University)
Authors: Butez, Raphaël, Zeitouni, Ofer
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2950685459