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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 288 - Probability & Statistics Seminar
Hoi Nguyen
Ohio State University
On real roots of random Bernoulli polynomials
Abstract:
By using a simple method, we show that a random $\pm 1$ polynomial of degree n does not have double roots with probability tending to one (as $n$ tends to infinity). As a consequence, we deduce that the expected number of real roots is $(2/\pi)(\log n) + C + o(1)$ for some absolute constant $C$. The method extends to more general coefficient distributions. (Based on joint work with O. Nguyen and V. Vu)
Host: Jason Schweinsberg
May 29, 2014
10:00 AM
AP&M 6402
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