Stochastic Logic Implementations of Polynomials With All Positive Coefficients by Expansion Methods

Roots of polynomials with positive coefficients

We describe the limit zero distributions of sequences of polynomials with positive coefficients. We also characterize the polynomials with real coefficients for which some power has positive coefficients. MSC Primary: 30C15, 26C10, secondary: 31A05.

Approximation by Polynomials with Coefficients

Distribution of zeros of polynomials with positive coefficients

We describe the limit zero distributions of sequences of polynomials with positive coefficients. MSC Primary: 30C15, 26C10, secondary: 31A05.

construction of vector fields with positive lyapunov exponents

in this thesis our aim is to construct vector field in r3 for which the corresponding one-dimensional maps have certain discontinuities. two kinds of vector fields are considered, the first the lorenz vector field, and the second originally introced here. the latter have chaotic behavior and motivate a class of one-parameter families of maps which have positive lyapunov exponents for an open in...

Polynomials with Nonnegative Coefficients

The authors verify the conjecture that a conjugate pair of zeros can be factored from a polynomial with nonnegative coefficients so that the resulting polynomial still has nonnegative coefficients. The conjecture was originally posed by A. Rigler, S. Trimble, and R. Varga arising out of their work on the Beauzamy-Enflo generalization of Jensen's inequality. The conjecture was also made independ...