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Titlebook: Combinatorics and Complexity of Partition Functions; Alexander Barvinok Book 2016 Springer International Publishing AG 2016 algorithms.com

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發(fā)表于 2025-3-21 18:17:25 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Combinatorics and Complexity of Partition Functions
編輯Alexander Barvinok
視頻videohttp://file.papertrans.cn/231/230042/230042.mp4
概述Contains an exposition of recent results.Demonstrates a unified approach to hard algorithmic problems.Provides an easy to read introduction to statistical physics phenomena.Includes supplementary mate
叢書名稱Algorithms and Combinatorics
圖書封面Titlebook: Combinatorics and Complexity of Partition Functions;  Alexander Barvinok Book 2016 Springer International Publishing AG 2016 algorithms.com
描述.Partition functions arise in combinatorics and related problems of statistical physics as they encode in a succinct way the combinatorial? structure of complicated systems. The main focus of the book is on efficient ways to compute (approximate) various partition functions, such as permanents, hafnians and their higher-dimensional versions, graph and hypergraph matching polynomials, the independence polynomial of a graph and partition functions enumerating 0-1 and integer points in polyhedra, which allows one to make algorithmic advances in otherwise intractable problems.?.The book unifies various, often quite recent, results scattered in the literature, concentrating on the three main approaches: scaling, interpolation and correlation decay.?The prerequisites include moderate amounts of real and complex analysis and linear algebra, making the book accessible to advanced math and physics undergraduates.?.
出版日期Book 2016
關鍵詞algorithms; complexity; partition function; permanent; mathing polynomial; independence polynomial; graph
版次1
doihttps://doi.org/10.1007/978-3-319-51829-9
isbn_softcover978-3-319-84751-1
isbn_ebook978-3-319-51829-9Series ISSN 0937-5511 Series E-ISSN 2197-6783
issn_series 0937-5511
copyrightSpringer International Publishing AG 2016
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 21:05:29 | 只看該作者
Smart Systems Integration and Simulationcs as they compute certain integrals and to computer science as they occupy a special place in the computational complexity hierarchy. This is our first example of a partition function and we demonstrate in detail how various approaches work. Connections with .-stable polynomials lead, in particular
板凳
發(fā)表于 2025-3-22 03:08:37 | 只看該作者
地板
發(fā)表于 2025-3-22 08:32:57 | 只看該作者
5#
發(fā)表于 2025-3-22 09:56:38 | 只看該作者
Smart E-Health Home Supervision Systemsolynomials, the van der Waerden and Bregman–Minc bounds) are used. Geometrically, with each integer point of a polyhedron in ., we associate a monomial in . real variables and the partition function is just the sum of monomials over the integer points in the polyhedron.
6#
發(fā)表于 2025-3-22 14:46:27 | 只看該作者
https://doi.org/10.1007/978-3-319-51829-9algorithms; complexity; partition function; permanent; mathing polynomial; independence polynomial; graph
7#
發(fā)表于 2025-3-22 18:55:23 | 只看該作者
978-3-319-84751-1Springer International Publishing AG 2016
8#
發(fā)表于 2025-3-22 21:14:39 | 只看該作者
Combinatorics and Complexity of Partition Functions978-3-319-51829-9Series ISSN 0937-5511 Series E-ISSN 2197-6783
9#
發(fā)表于 2025-3-23 03:06:54 | 只看該作者
Smart E-Health Home Supervision Systemsolynomials, the van der Waerden and Bregman–Minc bounds) are used. Geometrically, with each integer point of a polyhedron in ., we associate a monomial in . real variables and the partition function is just the sum of monomials over the integer points in the polyhedron.
10#
發(fā)表于 2025-3-23 06:27:25 | 只看該作者
Partition Functions of Integer Flows,olynomials, the van der Waerden and Bregman–Minc bounds) are used. Geometrically, with each integer point of a polyhedron in ., we associate a monomial in . real variables and the partition function is just the sum of monomials over the integer points in the polyhedron.
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