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  • 标题:Universal large deviations for Kac polynomials
  • 本地全文:下载
  • 作者:Raphaël Butez ; Ofer Zeitouni
  • 期刊名称:Electronic Communications in Probability
  • 印刷版ISSN:1083-589X
  • 出版年度:2017
  • 卷号:22
  • DOI:10.1214/16-ECP33
  • 语种:English
  • 出版社:Electronic Communications in Probability
  • 摘要: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 $\mathbb{C} $, $\mathbb{R} $ or $\mathbb{R} ^+$, under the assumption that the density does not vanish too fast at zero and decays at least as $\exp -|x|^{\rho }$, $\rho >0$, at infinity.
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