Combinatorics and Complexity of Partition Functions

Name: Combinatorics and Complexity of Partition Functions
Brand: Springer International Publishing AG
SKU: 9783319518282
Price: 374.66 RON
Availability: InStock

Autor: Alexander Barvinok

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Legare: Copertă tare

Editura: Springer International Publishing AG

Disponibilitate: În depozitul extern

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374.66 lei

Partition functions arise in combinatorics and related problems of statistical physics as they encod...

Informații despre carte

Autor

Alexander Barvinok

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2017

Pagini

303

EAN

9783319518282

ISBN

3319518283

Enbook ID

15634734

Editura

Springer International Publishing AG

Greutate

628

Dimensiuni

245 x 165 x 23

Descriere completă

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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Combinatorics and Complexity of Partition Functions

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