Distributions of Roots of Reduced Cubic Equations with Random Coefficients

Details Distributions of Roots of Reduced Cubic Equations with Random Coefficients Distributions of Roots of Reduced Cubic Equations with Random Coefficients

2007-04-19

arxiv.org/abs/0704.2586v2

Mathematics

Probability

Minor typo correction

Scientific paper

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.

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