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

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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.

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SKU: NGS001873
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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.

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Hardcover, Softcover

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Book information

Edition
1st Edition
ISBN [Softcover]
9783540184003
Publisher
Springer
Year
1987
Pages
XIV, 138 p.
Series Title
Lecture Notes in Mathematics
Language
English
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