Random Polynomials
A series of five papers by Eric Kostlan
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Random polynomials and the statistical fundamental
theorem of algebra (1987)
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On the distribution of roots of random polynomials (1993)
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How many zeros of a random polynomials are real?
(with Alan Edelman, 1995)
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On the expected number of real roots of a system
of random polynomial equations (2000)
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On the expected volume of a real algebraic variety
(in progress)
and selected papers on matrices
Statistical complexity of numerical
linear algebra (1985)
Statistical complexity of dominant
eigenvector calculation (1991)
On the spectra of Gaussian matrices (1992)
Matrix cubing is a gradient dynamical system (1993)
How many eigenvalues of a random matrix are real?
(with A. Edelman and M. Shub, 1994)