Positive Polynomials and Time Dependent Integer-Valued Random Variables

Brian Baker, David Handelman

Type: Article

Publication Date: 1991-12-01

Citations: 13

DOI: https://doi.org/10.4153/cjm-1992-001-6

Abstract

Let { P i } 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 whether for all integers k , there exists N such that the product of polynomials (*) P k+1 . P k+2 .....P k+N ·ƒ has no negative coefficients.

Locations

Canadian Journal of Mathematics - View - PDF

Similar Works

Action	Title	Year	Authors
+	Real zeros of algebraic polynomials with nonidentical dependent random coefficients	2019	Sabita Sahoo Partiswari Maharana
+	Real zeros of algebraic polynomials with nonidentical dependent random coefficients	2019	Sabita Sahoo Partiswari Maharana
+	Random polynomials with complex coefficients	1996	K. Farahmand
+	On random polynomials with an intermediate number of real roots	2023	Marcus Michelen Sean O’Rourke
+	Random polynomials having few or no real zeros	2002	Amir Dembo Bjorn Poonen Qi-Man Shao Ofer Zeitouni
+ PDF Chat	A strong law of large numbers for real roots of random polynomials	2024	Yen Do
+ PDF Chat	Random polynomials with a prescribed number of real zeros	2002	Lorens A. Imhof Lorens A. Imhof
+	Real zeros of random polynomials.	1996	Saaid. Rezakhah Varnousfaderani
+	Real Zeros of Random Polynomials	1968	B. F. Logan L. A. Shepp
+ PDF Chat	On Classifications of Random Polynomials	2004	K. Farahmand
+	Classes of random polynomials with non-identical coefficients	2003	K. Farahmand K Opong
+	Random polynomials	1990	K. Farahmand
+ PDF Chat	On random polynomials with an intermediate number of real roots	2024	Marcus Michelen Sean O’Rourke
+	Probability and Random Numbers	2018	David E. Hiebeler
+	Properties of Real Random Variables	2017	Joseph P. Romano Andrew F. Siegel
+	ON THE REAL ROOTS OF A RANDOM ALGEBRAIC POLYNOMIAL	2015	Somnath Bagh
+	Integer valued stable random variables	2013	Lev B. Klebanov Lenka Slámová
+	Weakly Negative Dependent of Random Variables With Applications	2013	Habib Naderi Mohammad Amini Abolghasem Bozorgnia
+	Random Fourier series with Dependent Random Variables	2020	Safari Mukeru
+	Real zeros of random trigonometric polynomials with dependent coefficients	2022	Jürgen Angst Thibault Pautrel Guillaume Poly

Works That Cite This (12)

Action	Title	Year	Authors
+ PDF Chat	Spherically symmetric random permutations	2019	Alexander Gnedin Vadim Gorin
+	Spherically Symmetric Random Permutations	2016	Alexander Gnedin Vadim Gorin
+ PDF Chat	Boundaries from Inhomogeneous Bernoulli Trials	2011	Alexander Gnedin
+	Boundaries from inhomogeneous Bernoulli trials	2009	Alexander Gnedin
+ PDF Chat	Quantum Lorentz degrees of polynomials and a Pólya theorem for polynomials positive on q-lattices	2021	Rachid Ait-Haddou Ron Goldman Marie‐Laurence Mazure
+	Nested sequences of rational spaces: Bernstein approximation, dimension elevation, and Pólya-type theorems on positive polynomials	2018	Rachid Ait‐Haddou Marie‐Laurence Mazure Hermann Render
+	Non-direct limit of simple dimension groups with finitely many pure traces	2013	David Handelman
+	Eigenvectors and ratio limit theorems for Markov chains and their relatives	1999	David Handelman
+ PDF Chat	Nearly Approximate Transitivity (AT) for Circulant Matrices	2017	David Handelman
+	SU(2)-equivariantk-theory of a class ofC*-algebras and nonhomogeneous random walks	1994	Brian Baker David Handelman

Works Cited by This (6)

Action	Title	Year	Authors
+	Theory of Probability and Its Applications	2005	Ronald H. Randles
+	Partially Ordered Abelian Groups with Interpolation	2010	Kenneth Goodearl
+	Convexity Theory and its Applications in Functional Analysis	1980	Leonard Asimow A. J. Ellis
+	Ergodic theory and dynamical systems	1985	Gian‐Carlo Rota
+ PDF Chat	Positive Polynomials, Convex Integral Polytopes, and a Random Walk Problem	1987	David Handelman
+	Dimensions and C*-algebras	1981	Edward G. Effros