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

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流動才波動

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Jenny Kasudiya,Ankit Bhavsar,Harshal Arolkar away from the negative real axis. We demonstrate the “correlation decay” phenomenon of the probability for a random matching to contain a given vertex to be asymptotically independent on whether the matching contains some other remote vertex.

AGOG

Hafnians and Multidimensional Permanents,manents generally continue to work. Using scaling, we establish a decomposition of hafnians and multidimensional permanents into the product of an easy to handle “scaling part” and hard to handle “.-stochastic part”. We prove that the .-stochastic part is still concentrated, though weaker than in the case of the permanent.

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HERTZ

Book 2016of 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

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OTTER

0937-5511 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.?.978-3-319-84751-1978-3-319-51829-9Series ISSN 0937-5511 Series E-ISSN 2197-6783

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Permanents,analysis. As an application of the interpolation method, we show how to approximate permanents of a reasonably wide class of complex matrices and also obtain approximations of logarithms of permanents of positive matrices by low degree polynomials.

Odyssey

Combinatorics and Complexity of Partition Functions