Coronary 发表于 2025-3-25 04:23:29
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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 发表于 2025-3-25 16:16:21
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.MEET 发表于 2025-3-25 23:14:40
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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 functionsBATE 发表于 2025-3-26 04:56:35
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0937-5511main 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 2197-6783employor 发表于 2025-3-26 13:16:52
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 发表于 2025-3-26 17:35:11
Combinatorics and Complexity of Partition Functions