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Combinatorics and Complexity of Partition Functions
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, hafnia...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
|
| Edición: | 1st ed. 2016. |
| Colección: | Algorithms and Combinatorics,
30 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-319-51829-9 | ||
| 003 | DE-He213 | ||
| 005 | 20220113003515.0 | ||
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| 008 | 170314s2016 sz | s |||| 0|eng d | ||
| 020 | |a 9783319518299 |9 978-3-319-51829-9 | ||
| 024 | 7 | |a 10.1007/978-3-319-51829-9 |2 doi | |
| 050 | 4 | |a T57-57.97 | |
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| 100 | 1 | |a Barvinok, Alexander. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Combinatorics and Complexity of Partition Functions |h [electronic resource] / |c by Alexander Barvinok. |
| 250 | |a 1st ed. 2016. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2016. | |
| 300 | |a VI, 303 p. 51 illus., 42 illus. in color. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Algorithms and Combinatorics, |x 2197-6783 ; |v 30 | |
| 505 | 0 | |a Chapter I. Introduction -- Chapter II. Preliminaries -- Chapter III. Permanents -- Chapter IV. Hafnians and Multidimensional Permanents -- Chapter V. The Matching Polynomial -- Chapter VI. The Independence Polynomial -- Chapter VII. The Graph Homomorphism Partition Function -- Chapter VIII. Partition Functions of Integer Flows -- References -- Index. | |
| 520 | |a 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. . | ||
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Discrete mathematics. | |
| 650 | 0 | |a Computer science-Mathematics. | |
| 650 | 0 | |a System theory. | |
| 650 | 0 | |a Algorithms. | |
| 650 | 0 | |a Approximation theory. | |
| 650 | 1 | 4 | |a Applications of Mathematics. |
| 650 | 2 | 4 | |a Discrete Mathematics. |
| 650 | 2 | 4 | |a Discrete Mathematics in Computer Science. |
| 650 | 2 | 4 | |a Complex Systems. |
| 650 | 2 | 4 | |a Algorithms. |
| 650 | 2 | 4 | |a Approximations and Expansions. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319518282 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319518305 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319847511 |
| 830 | 0 | |a Algorithms and Combinatorics, |x 2197-6783 ; |v 30 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-51829-9 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||