Real Roots of Random Polynomials

Abstract: How many real roots does a random polynomial of degree n have? By the fundamental theorem of algebra, it can have at most n, but in expectation the answer is often much lower. We'll attack this problem with just a single algebraic tool (Descartes' law of signs) and a modest helping of some probabilistic combinatorics.

Computer scienceMathematicsPhysics

Audience: researchers in the topic

MIT Simple Person's Applied Mathematics Seminar