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Distributions of Roots of Reduced Cubic Equations with Random Coefficients

Probability 2012-11-26 v3

Abstract

If the coefficients of polynomials are selected by some random process, the zeros of the resulting polynomials are in some sense random. In this paper the author rephrases the above in more precise language, and calculates the joint conditional densities of a random vector whose values determine almost surely the zeros of a "random" reduced cubic.

Keywords

Cite

@article{arxiv.0704.2586,
  title  = {Distributions of Roots of Reduced Cubic Equations with Random Coefficients},
  author = {Kerry M. Soileau},
  journal= {arXiv preprint arXiv:0704.2586},
  year   = {2012}
}

Comments

Minor typo correction