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

Language: English

Published by Springer, Springer Spektrum Okt 1987, 1987

3540184007 / 9783540184003

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This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 152 pp. Englisch.…

Seller Inventory # 9783540184003

Title
Positive Polynomials, Convex Integral Polytopes, and a Random Walk Problem
Author
David E. Handelman
Publisher
Springer, Springer Spektrum Okt 1987
Publication year
1987
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3540184007
ISBN 13
9783540184003
Item weight
242 grams
Dimensions
235x155x9 mm

buchversandmimpf2000

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