Topics on Random Polynomials and Random Polytopes
Title | Topics on Random Polynomials and Random Polytopes PDF eBook |
Author | Hauke Hendrik Seidel |
Publisher | |
Pages | 0 |
Release | 2022 |
Genre | |
ISBN |
Topics in Random Polynomials
Title | Topics in Random Polynomials PDF eBook |
Author | K Farahmand |
Publisher | CRC Press |
Pages | 180 |
Release | 1998-08-15 |
Genre | Mathematics |
ISBN | 9780582356221 |
Topics in Random Polynomials presents a rigorous and comprehensive treatment of the mathematical behavior of different types of random polynomials. These polynomials-the subject of extensive recent research-have many applications in physics, economics, and statistics. The main results are presented in such a fashion that they can be understood and used by readers whose knowledge of probability incorporates little more than basic probability theory and stochastic processes.
Positive Polynomials, Convex Integral Polytopes, and a Random Walk Problem
Title | Positive Polynomials, Convex Integral Polytopes, and a Random Walk Problem PDF eBook |
Author | David E. Handelman |
Publisher | Springer |
Pages | 148 |
Release | 2006-11-15 |
Genre | Mathematics |
ISBN | 3540479511 |
Emanating from the theory of C*-algebras and actions of tori theoren, the problems discussed here are outgrowths of random walk problems on lattices. An AGL (d,Z)-invariant (which is a partially ordered commutative algebra) is obtained for lattice polytopes (compact convex polytopes in Euclidean space whose vertices lie in Zd), and certain algebraic properties of the algebra are related to geometric properties of the polytope. There are also strong connections with convex analysis, Choquet theory, and reflection groups. This book serves as both an introduction to and a research monograph on the many interconnections between these topics, that arise out of questions of the following type: Let f be a (Laurent) polynomial in several real variables, and let P be a (Laurent) polynomial with only positive coefficients; decide under what circumstances there exists an integer n such that Pnf itself also has only positive coefficients. It is intended to reach and be of interest to a general mathematical audience as well as specialists in the areas mentioned.
Topics in Random Polynomials
Title | Topics in Random Polynomials PDF eBook |
Author | Kambiz Farahmand |
Publisher | |
Pages | 163 |
Release | 1998 |
Genre | Random polynomials |
ISBN |
Random Polynomials
Title | Random Polynomials PDF eBook |
Author | Albert T. Bharucha-Reid |
Publisher | |
Pages | 0 |
Release | 1986 |
Genre | Mathematics |
ISBN | 9780120957101 |
Zero Sets of Random Polynomials
Title | Zero Sets of Random Polynomials PDF eBook |
Author | Djordjo Milovic |
Publisher | |
Pages | 0 |
Release | 2011 |
Genre | |
ISBN |
On the Distribution of the Zeros of Random Polynomials
Title | On the Distribution of the Zeros of Random Polynomials PDF eBook |
Author | Mark W. Lucianovic |
Publisher | |
Pages | 0 |
Release | 1995 |
Genre | |
ISBN |