Positive Polynomials and Time Dependent Integer-Valued Random Variables

Abstract

Let {Pi} be a sequence of real (Laurent) polynomials each of which has no negative coefficients, and suppose that f is a real polynomial. Consider the problem of deciding whetherfor all integers k, there exists Nsuch that the product of polynomials(*) Pk+1. Pk+2.....Pk+N·ƒ has no negative coefficients.