Deciding eventual positivity of polynomials

DOI10.1017/S0143385700003291zbMath0606.22005OpenAlexW2156173273MaRDI QIDQ3744392

David E. Handelman

Publication date: 1986

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700003291

zbMATH Keywords

monomialsNewton polyhedronstratumPerron-Frobenius theorempositivity of polynomialscrossed product \(C^ *\) algebrapolynomial with only nonnegative coefficients

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Ergodic theory on groups (22D40) Measure-theoretic ergodic theory (28D99) Functions of several variables (26B99)

Related Items (13)

Space-time boundaries for random walks obtained from diffuse measures ⋮ Certificates for nonnegativity of polynomials with zeros on compact semialgebraic sets ⋮ Eventual positivity for analytic functions ⋮ Characterization of polynomials whose large powers have fully positive coefficients ⋮ Dimension groups for polynomial odometers ⋮ A Positivstellensatz for forms on the positive orthant ⋮ Characterization of polynomials whose large powers have all positive coefficients ⋮ Some geometric properties of successive difference substitutions ⋮ Effective Pólya semi-positivity for non-negative polynomials on the simplex ⋮ Eigenvectors and ratio limit theorems for Markov chains and their relatives ⋮ A characterization of polynomials whose high powers have non-negative coefficients ⋮ A quantitative Pólya's theorem with zeros ⋮ Effectiveness of an affine invariant for indecomposable integral polytopes

Cites Work

• Dimension Groups and Their Affine Representations

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