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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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    IN - Informatics

  • OECD FORD branch

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

  • 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