000 | 03196nam a22005055i 4500 | ||
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001 | 978-3-540-47951-2 | ||
003 | DE-He213 | ||
005 | 20190213151651.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1987 gw | s |||| 0|eng d | ||
020 |
_a9783540479512 _9978-3-540-47951-2 |
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024 | 7 |
_a10.1007/BFb0078909 _2doi |
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050 | 4 | _aQA299.6-433 | |
072 | 7 |
_aPBK _2bicssc |
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072 | 7 |
_aMAT034000 _2bisacsh |
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072 | 7 |
_aPBK _2thema |
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082 | 0 | 4 |
_a515 _223 |
100 | 1 |
_aHandelman, David E. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aPositive Polynomials, Convex Integral Polytopes, and a Random Walk Problem _h[electronic resource] / _cby David E. Handelman. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1987. |
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300 |
_aXIV, 138 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1282 |
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505 | 0 | _aDefinitions and notation -- A random walk problem -- Integral closure and cohen-macauleyness -- Projective RK-modules are free -- States on ideals -- Factoriality and integral simplicity -- Meet-irreducibile ideals in RK -- Isomorphisms. | |
520 | _aEmanating 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. | ||
650 | 0 | _aGlobal analysis (Mathematics). | |
650 | 0 | _aAlgebra. | |
650 | 0 | _aGeometry. | |
650 | 1 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
650 | 2 | 4 |
_aAlgebra. _0http://scigraph.springernature.com/things/product-market-codes/M11000 |
650 | 2 | 4 |
_aGeometry. _0http://scigraph.springernature.com/things/product-market-codes/M21006 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662190821 |
776 | 0 | 8 |
_iPrinted edition: _z9783540184003 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1282 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0078909 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11467 _d11467 |