Positive Polynomials Convex Integral Polytopes And A Random Walk Problem

Author : David E. Handelman
Publisher : Springer
ISBN 13 : 3540479511
Total Pages : 148 pages
Book Rating : 4.12/5 ( download)

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Download or read book Positive Polynomials, Convex Integral Polytopes, and a Random Walk Problem written by David E. Handelman and published by Springer. This book was released on 2006-11-15 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : David E. Handelman
Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.84/5 ( download)

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Download or read book Positive Polynimials, Convex Integral Polytopes, and Random Walk Problem written by David E. Handelman and published by . This book was released on 1987 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Sergei Vasilʹevich Kerov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821889633
Total Pages : 224 pages
Book Rating : 4.3X/5 ( download)

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Download or read book Asimptoti?eskaja teorija predstavlenija simmetri?eskoj gruppyi ee primenenija v analize written by Sergei Vasilʹevich Kerov and published by American Mathematical Soc.. This book was released on with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reproduces the doctoral thesis written by a remarkable mathematician, Sergei V. Kerov. His untimely death at age 54 left the mathematical community with an extensive body of work and this one-of-a-kind monograph. Here, he gives a clear and lucid account of results and methods of asymptotic representation theory. The book is a unique source of information on an important topic of current research. Asymptotic representation theory of symmetric groups deals with problems of two types: asymptotic properties of representations of symmetric groups of large order and representations of the limiting object, i.e., the infinite symmetric group. The author contributed significantly in the development of both directions. His book presents an account of these contributions, as well as those of other researchers. Among the problems of the first type, the author discusses the properties of the distribution of the normalized cycle length in a random permutation and the limiting shape of a random (with respect to the Plancherel measure) Young diagram. He also studies stochastic properties of the deviations of random diagrams from the limiting curve. Among the problems of the second type, Kerov studies an important problem of computing irreducible characters of the infinite symmetric group. This leads to the study of a continuous analog of the notion of Young diagram, and in particular, to a continuous analogue of the hook walk algorithm, which is well known in the combinatorics of finite Young diagrams. In turn, this construction provides a completely new description of the relation between the classical moment problems of Hausdorff and Markov. The book is suitable for graduate students and research mathematicians interested in representation theory and combinatorics.

Author : Ronald L. Graham
Publisher : Elsevier
ISBN 13 : 9780444823465
Total Pages : 1124 pages
Book Rating : 4.68/5 ( download)

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Download or read book Handbook of Combinatorics Volume 1 written by Ronald L. Graham and published by Elsevier. This book was released on 1995-12-11 with total page 1124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics, Volume 1 focuses on basic methods, paradigms, results, issues, and trends across the broad spectrum of combinatorics. The selection first elaborates on the basic graph theory, connectivity and network flows, and matchings and extensions. Discussions focus on stable sets and claw free graphs, nonbipartite matching, multicommodity flows and disjoint paths, minimum cost circulations and flows, special proof techniques for paths and circuits, and Hamilton paths and circuits in digraphs. The manuscript then examines coloring, stable sets, and perfect graphs and embeddings and minors. The book takes a look at random graphs, hypergraphs, partially ordered sets, and matroids. Topics include geometric lattices, structural properties, linear extensions and correlation, dimension and posets of bounded degree, hypergraphs and set systems, stability, transversals, and matchings, and phase transition. The manuscript also reviews the combinatorial number theory, point lattices, convex polytopes and related complexes, and extremal problems in combinatorial geometry. The selection is a valuable reference for researchers interested in combinatorics.

Author : R.L. Graham
Publisher : Elsevier
ISBN 13 : 008093384X
Total Pages : 2404 pages
Book Rating : 4.49/5 ( download)

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Download or read book Handbook of Combinatorics written by R.L. Graham and published by Elsevier. This book was released on 1995-12-11 with total page 2404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics

Author : Ronald L. Graham
Publisher : MIT Press
ISBN 13 : 9780262571722
Total Pages : 1130 pages
Book Rating : 4.22/5 ( download)

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Download or read book Handbook of Combinatorics written by Ronald L. Graham and published by MIT Press. This book was released on 2003-03 with total page 1130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers combinatorics in graph theory, theoretical computer science, optimization, and convexity theory, plus applications in operations research, electrical engineering, statistical mechanics, chemistry, molecular biology, pure mathematics, and computer science.

Author : Bozzano G Luisa
Publisher : Elsevier
ISBN 13 : 0080933351
Total Pages : 1121 pages
Book Rating : 4.51/5 ( download)

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Download or read book Handbook of Combinatorics Volume 1 written by Bozzano G Luisa and published by Elsevier. This book was released on 1995-12-11 with total page 1121 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics, Volume 1 focuses on basic methods, paradigms, results, issues, and trends across the broad spectrum of combinatorics. The selection first elaborates on the basic graph theory, connectivity and network flows, and matchings and extensions. Discussions focus on stable sets and claw free graphs, nonbipartite matching, multicommodity flows and disjoint paths, minimum cost circulations and flows, special proof techniques for paths and circuits, and Hamilton paths and circuits in digraphs. The manuscript then examines coloring, stable sets, and perfect graphs and embeddings and minors. The book takes a look at random graphs, hypergraphs, partially ordered sets, and matroids. Topics include geometric lattices, structural properties, linear extensions and correlation, dimension and posets of bounded degree, hypergraphs and set systems, stability, transversals, and matchings, and phase transition. The manuscript also reviews the combinatorial number theory, point lattices, convex polytopes and related complexes, and extremal problems in combinatorial geometry. The selection is a valuable reference for researchers interested in combinatorics.

Author :
Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4./5 ( download)

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Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1992-02 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Peter M. Gruber
Publisher : Springer Science & Business Media
ISBN 13 : 3540711333
Total Pages : 590 pages
Book Rating : 4.39/5 ( download)

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Download or read book Convex and Discrete Geometry written by Peter M. Gruber and published by Springer Science & Business Media. This book was released on 2007-05-17 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convex and Discrete Geometry is an area of mathematics situated between analysis, geometry and discrete mathematics with numerous relations to other subdisciplines. This book provides a comprehensive overview of major results, methods and ideas of convex and discrete geometry and its applications. Besides being a graduate-level introduction to the field, it is a practical source of information and orientation for convex geometers, and useful to people working in the applied fields.

Author : Peter S. Bullen
Publisher : Springer
ISBN 13 : 3540469559
Total Pages : 211 pages
Book Rating : 4.51/5 ( download)

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Download or read book New Integrals written by Peter S. Bullen and published by Springer. This book was released on 2006-11-14 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: