Combinatorics and Complexity of Partition Functions

Alexander Barvinok

ISBN 10: 3319518283 / ISBN 13: 9783319518282

Edité par Springer International Publishing, 2017

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - 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. N° de réf. du vendeur 9783319518282

Détails bibliographiques

Titre : Combinatorics and Complexity of Partition ...

Éditeur : Springer International Publishing

Date d'édition : 2017

Reliure : Buch

Etat : Neu