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


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.