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Strong result for real zeros of random algebraic polynomials

机译:随机代数多项式的实零的强结果

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摘要

An estimate is given for the lower bound of real zeros of random algebraic polynomials whose coefficients are non-identically distributed dependent Gaussian random variables. Moreover, our estimated measure of the exceptional set, which is independent of the degree of the polynomials, tends to zero as the degree of the polynomial tends to infinity.
机译:给出了一个随机代数多项式的实零下界的估计,其系数是非相同分布的相关高斯随机变量。此外,由于多项式的阶趋于无穷大,因此我们估计的异常集的度量独立于多项式的阶趋于零。

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