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

Coronary

流动才波动

jealousy

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