Two-dimensional quantum gravity – a laboratory for fluctuating graphs and quenched connectivity disorder

This paper gives a brief introduction to using two-dimensional discrete and Euclidean quantum gravity approaches
 as a laboratory for studying the properties of fluctuating and frozen random graphs in interaction
 with “matter fields” represented by simple spin or vertex models. Due...

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Published in:Condensed Matter Physics
Date:2006
Main Authors: Janke, W., Johnston, D.A., Weigel, M.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2006
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/121321
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Two-dimensional quantum gravity – a laboratory for fluctuating graphs and quenched connectivity disorder / W. Janke, D.A. Johnston, M. Weigel // Condensed Matter Physics. — 2006. — Т. 9, № 2(46). — С. 263–282. — Бібліогр.: 86 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Janke, W.
Johnston, D.A.
Weigel, M.
author_facet Janke, W.
Johnston, D.A.
Weigel, M.
citation_txt Two-dimensional quantum gravity – a laboratory for fluctuating graphs and quenched connectivity disorder / W. Janke, D.A. Johnston, M. Weigel // Condensed Matter Physics. — 2006. — Т. 9, № 2(46). — С. 263–282. — Бібліогр.: 86 назв. — англ.
collection DSpace DC
container_title Condensed Matter Physics
description This paper gives a brief introduction to using two-dimensional discrete and Euclidean quantum gravity approaches
 as a laboratory for studying the properties of fluctuating and frozen random graphs in interaction
 with “matter fields” represented by simple spin or vertex models. Due to the existence of numerous exact
 analytical results and predictions for comparison with simulational work, this is an interesting and useful enterprise.
first_indexed 2025-12-07T20:07:40Z
format Article
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id nasplib_isofts_kiev_ua-123456789-121321
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1607-324X
language English
last_indexed 2025-12-07T20:07:40Z
publishDate 2006
publisher Інститут фізики конденсованих систем НАН України
record_format dspace
spelling Janke, W.
Johnston, D.A.
Weigel, M.
2017-06-14T05:52:59Z
2017-06-14T05:52:59Z
2006
Two-dimensional quantum gravity – a laboratory for fluctuating graphs and quenched connectivity disorder / W. Janke, D.A. Johnston, M. Weigel // Condensed Matter Physics. — 2006. — Т. 9, № 2(46). — С. 263–282. — Бібліогр.: 86 назв. — англ.
1607-324X
PACS: 04.60.-m, 05.10.Ln, 05.50.+q, 64.60.Fr
DOI:10.5488/CMP.9.2.263
https://nasplib.isofts.kiev.ua/handle/123456789/121321
This paper gives a brief introduction to using two-dimensional discrete and Euclidean quantum gravity approaches
 as a laboratory for studying the properties of fluctuating and frozen random graphs in interaction
 with “matter fields” represented by simple spin or vertex models. Due to the existence of numerous exact
 analytical results and predictions for comparison with simulational work, this is an interesting and useful enterprise.
W.J. wishes to thank Bertrand Berche, Arnaldo Donoso and Ricardo Paredes for organising this
 most enjoyable and very fruitful Summer School in Mochima, Venezuela. And also a big thanks
 to all students and co-organisers who made this meeting so pleasant. This work was partially
 supported by the EC RTN-networks ‘EUROGRID’: Discrete Random Geometries: From solid state
 physics to quantum gravity under grant No. HPRN–CT–1999–00161 and ‘ENRAGE’: Random
 Geometry and Random Matrices: From Quantum Gravity to Econophysics under grant No. MRTN–
 CT–2004–005616. M.W. acknowledges support by the EC “Marie Curie Individual Intra-European
 Fellowships” programme under contract No. MEIF–CT–2004–501422.
en
Інститут фізики конденсованих систем НАН України
Condensed Matter Physics
Two-dimensional quantum gravity – a laboratory for fluctuating graphs and quenched connectivity disorder
Двовимірна квантова гравітація - лабораторія для флюкуючих графів та безладу заморожених зв'язків
Article
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spellingShingle Two-dimensional quantum gravity – a laboratory for fluctuating graphs and quenched connectivity disorder
Janke, W.
Johnston, D.A.
Weigel, M.
title Two-dimensional quantum gravity – a laboratory for fluctuating graphs and quenched connectivity disorder
title_alt Двовимірна квантова гравітація - лабораторія для флюкуючих графів та безладу заморожених зв'язків
title_full Two-dimensional quantum gravity – a laboratory for fluctuating graphs and quenched connectivity disorder
title_fullStr Two-dimensional quantum gravity – a laboratory for fluctuating graphs and quenched connectivity disorder
title_full_unstemmed Two-dimensional quantum gravity – a laboratory for fluctuating graphs and quenched connectivity disorder
title_short Two-dimensional quantum gravity – a laboratory for fluctuating graphs and quenched connectivity disorder
title_sort two-dimensional quantum gravity – a laboratory for fluctuating graphs and quenched connectivity disorder
url https://nasplib.isofts.kiev.ua/handle/123456789/121321
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