Topics in Random Polynomials presents a rigorous and comprehensive treatment of the mathematical behavior of different types of random polynomials. These polynomials-the subject of extensive recent research-have many applications in physics, economics, and statistics. The main results are presented in such a fashion that they can be understood and used by readers whose knowledge of probability incorporates little more than basic probability theory and stochastic processes.
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Preface. Introduction. Level Crossings of Stochastic Processes. Algebraic Polynomials. Trigonometric Polynomials. Orthogonal Polynomials. Hyperbolic Polynomials. Other Distributions. Complex Coefficients and Complex Roots. Bibliography.
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