First-order limits, an analytical perspective
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10319514" target="_blank" >RIV/00216208:11320/16:10319514 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.ejc.2015.07.012" target="_blank" >http://dx.doi.org/10.1016/j.ejc.2015.07.012</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ejc.2015.07.012" target="_blank" >10.1016/j.ejc.2015.07.012</a>
Alternative languages
Result language
angličtina
Original language name
First-order limits, an analytical perspective
Original language description
In this paper we present a novel approach to graph (and structural) limits based on model theory and analysis. The role of Stone and Gelfand dualities is displayed prominently and leads to a general theory, which we believe is naturally emerging. This approach covers all the particular examples of structural convergence and it put the whole in new context. As an application, it leads to new intermediate examples of structural convergence and to a "grand conjecture" dealing with sparse graphs. We survey the recent developments.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
IN - Informatics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
European Journal of Combinatorics
ISSN
0195-6698
e-ISSN
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Volume of the periodical
52
Issue of the periodical within the volume
February
Country of publishing house
GB - UNITED KINGDOM
Number of pages
21
Pages from-to
368-388
UT code for WoS article
000366535900007
EID of the result in the Scopus database
2-s2.0-84947491159