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Catalogue Information
Field name	Details
Dewey Class	530.143
Title	Random tensors ([Ebook]) / Răzvan Gheorghe Gurău
Author	Gurau, Razvan Gheorghe
Other name(s)	Oxford Scholarship Online
Publication	Oxford, U.K. : Oxford University Press , 2017
Physical Details	1 online resource (333 pages : illustrations)
ISBN	9780191829918
Note	Print publication date: 2016. - Print ISBN-13: 9780198787938. - Published to Oxford Scholarship Online: January 2017
Summary Note	Summary : 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.:
Mode of acces to digital resource	Digital reproduction.- Oxford : Oxford University Press, 2017. - Mode of access : World Wide Web. - System requirements : Internet Explorer 6.0 (or higher) of Firefox 2.0 (or higher). Available as searchable text in HTML format.
System details note	Online access to this digital book is restricted to subscribing institutions through IP address (only for internal SISSA users)
Internet Site	http://dx.doi.org/10.1093/acprof:oso/9780198787938.001.0001
Links to Related Works	Subject References: Calculus of tensors . Quantum field theory . Random sets . Authors: Gurau, Razvan Gheorghe . Corporate Authors: Oxford Scholarship Online . Classification: 530.143 .

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Random tensors

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