On Real Zeros of Self-Similar Random Gaussian Polynomials with Decreasing Variances: Apparition of a Phase Transition
Author:
Publisher
Springer Science and Business Media LLC
Subject
Anesthesiology and Pain Medicine
Link
http://link.springer.com/article/10.1007/s41980-018-0129-3/fulltext.html
Reference23 articles.
1. Bloch, A., Pólya, G.: On the roots of certain algebraic equations. Proc. Lond. Math. Soc 33(3), 102–114 (1932)
2. Littlewood, J., Offord, A.: On the number of real roots of a random algebraic equation. J. Lond. Math. Soc. 13(4), 288–295 (1938)
3. Kac, M.: On the average number of real roots of a random algebraic equation. Bull. Am. Math. Soc. 49(4), 314–320 (1943)
4. Ibragimov, I.A., Maslova, N.B.: On the expected number of real zeros of random polynomials. I. Coefficients with zero means. Theory Probab. Appl. 16(2), 228–248 (1971)
5. Ibragimov, I.A., Maslova, N.B.: On the expected number of real zeros of random polynomials. II. Coefficients with zero means. Theory Probab. Appl. 16(3), 485–493 (1971)
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