| 000 -LEADER |
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| fixed length control field |
nam a22 7a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
190525b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780198787938 |
| Terms of availability |
(hbk) |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
530.143 |
| Item number |
GUR |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Gurau, Razvan |
| 245 ## - TITLE STATEMENT |
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| Title |
Random tensors |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
1st ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
New York : |
| Name of publisher, distributor, etc |
Oxford University Press, |
| Date of publication, distribution, etc |
2017 |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
x, 333 p. : |
| Other physical details |
ill. ; |
| Dimensions |
25.4 cm. |
| 365 ## - TRADE PRICE |
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| Price type code |
GBP |
| Price amount |
67.50 |
| Unit of pricing |
00 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
This book presents a self-contained, ab initio introduction to random tensors. The book is divided into two parts. The first part introduces the general framework and the main results on random tensors. The second part presents in detail specific examples of random tensors models. The book presents both asymptotic results (or perturbative, in the physics literature) and constructive (non perturbative) results in full detail. The book is suitable for readers unfamiliar with the field. The material presented is divided into three broad categories of results. The first category connects random tensors to topological spaces, Euclidean dynamical triangulations and random geometry. The second category consists of perturbative results on random tensors. It contains the 1/N expansion, the enumeration of graphs of fixed degree, the continuum limit, the double scaling limit as well as the study of phase transitions and symmetry breaking in tensor models. The results in the third category are non perturbative: the proof of the universality of Gaussian tensor measures and the construction of quartically perturbed Gaussian measure. These results are obtained using methods from enumerative combinatorics, probability theory and constructive field theory. Random tensors generalize random matrices and provide a framework for the study of random geometries in any dimension relevant for conformal field theory, statistical physics and quantum gravity |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Random matrices |
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| Topical term or geographic name as entry element |
Calculus of tensors |
|
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| Topical term or geographic name as entry element |
Quantum field theory |
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| Topical term or geographic name as entry element |
Geometric quantization |
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| Topical term or geographic name as entry element |
Tensor fields |
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| Topical term or geographic name as entry element |
Random sets |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
|
| Item type |
Books |