Kniha Combinatorics and Complexity of Partition Functions Alexander Barvinok

Combinatorics and Complexity of Partition Functions

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-18 dnů
1 643
Partition functions arise in combinatorics and related problems of statistical physics as they encod...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2017
Stránek
303
EAN
9783319518282
ISBN
3319518283
Enbook ID
15634734
Hmotnost
628
Rozměry
245 x 165 x 23

Kompletní popis

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.

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