rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Positive polynomials, convex integral polytopes, and a random walk problem
  name:
    name part: Handelman, David
    name part: 1950-
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1987
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (x, 136 pages) : illustrations.
  abstract: 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.
  note: David E. Handelman.
  note: Electronic resource.
  note: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references (pages [129]-130) and index.
  subject:
    topic: C*-algebras
  subject:
    topic: Polynomials
  subject:
    topic: Polytopes
  subject:
    topic: Random walks (Mathematics)
  subject:
    topic: Polytopes
  subject:
    topic: C*-algèbres
  subject:
    topic: Polynômes
  subject:
    topic: Marches aléatoires (Mathématiques)
  subject:
    topic: C*-algebras
  subject:
    topic: Polynomials
  subject:
    topic: Polytopes
  subject:
    topic: Random walks (Mathematics)
  subject:
    topic: Random walks (statistiek)
  subject:
    topic: C*-algebra's
  subject:
    topic: Polynomen
  subject:
    topic: C * - algèbres
  subject:
    topic: Polynômes
  subject:
    topic: Polytopes convexes
  subject:
    topic: Kommutative Algebra
  subject:
    topic: Positives Polynom
  subject:
    topic: Ganzzahliges Polytop
  classification: QA3 .L28 no. 1282
  classification: QA326
  classification: 510 s 512/.55
  classification: 31.46
  classification: MAT 467f
  classification: MAT 605f
  classification: SI 850
  related item:
    title info:
      title: Positive polynomials, convex integral polytopes, and a random walk problem
    name:
      name part: Handelman, David, 1950-
    origin info:
      publisher: Berlin ; New York : Springer-Verlag, ©1987
    identifier: (DLC) 88126565
    identifier: (OCoLC)17156445
  related item:
    title info:
      title: Lecture notes in mathematics (Springer-Verlag) ; 1282
  identifier: 9783540479512 (electronic bk.)
  identifier: 3540479511 (electronic bk.)
  identifier: 9780387184005
  identifier: 0387184007
  identifier: 9783540184003
  identifier: 3540184007
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: SPLNM
    record creation date: 090116
    record change date: 20260422180443.7
    record identifier: in00003505452
    language of cataloging:
      language term: eng