Combinatorics and Complexity of Partition Functions is popular PDF and ePub book, written by Alexander Barvinok in 2017-03-13, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Combinatorics and Complexity of Partition Functions can be Read Online from any device for your convenience.
Combinatorics and Complexity of Partition Functions Book PDF Summary
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.
Detail Book of Combinatorics and Complexity of Partition Functions PDF
- Author : Alexander Barvinok
- Release : 13 March 2017
- Publisher : Springer
- ISBN : 9783319518299
- Genre : Mathematics
- Total Page : 304 pages
- Language : English
- PDF File Size : 18,7 Mb
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