Könyv Positive Polynomials, Convex Integral Polytopes, and a Random Walk Problem David E. Handelman

Positive Polynomials, Convex Integral Polytopes, and a Random Walk Problem

Nyelv: Angol
Kötés: Puha kötésű
Elérhetőség: Beszállítói készleten
Küldés 5-8 napon belül
10 054 Ft
Emanating from the theory of C -algebras and actions of tori theoren, the problems discussed here ar...

Információk a könyvről

Nyelv
Angol
Kötés
Könyv - Puha kötésű
oldal
138
EAN
9783540184003
ISBN
3540184007
Enbook ID
01558463
Súly
248
Méretek
156 x 234 x 8

Teljes leírás

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.

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