Statistical Topology of Real Polynomials. I: Two Variables

Research paper by George Khimshiashvili, Alexander Ushveridze

Indexed on: 21 Aug '96Published on: 21 Aug '96Published in: High Energy Physics - Theory

Abstract

We investigate average gradient degree of normal random polynomials of fixed algebraic degree n. In particular, for polynomials of two variables, asymptotics of the average gradient degree for large values of n is determined.

Statistical Topology of Real Polynomials. I: Two Variables

Abstract

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Statistical Topology of Real Polynomials. I: Two Variables

Abstract

More like this:

Average norms of polynomials

How many roots of a system of random trigonometric polynomials are real?

Toward an Optimal Quantum Algorithm for Polynomial Factorization over Finite Fields

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