Theory of limits of sequences of Latin squares

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00508790" target="_blank" >RIV/67985840:_____/19:00508790 - isvavai.cz</a>

Alternative codes found

RIV/00216224:14330/19:00113863

Result on the web

<a href="http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/1238" target="_blank" >http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/1238</a>

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Theory of limits of sequences of Latin squares

Original language description

We build up a limit theory for sequences of Latin squares, which parallels the theory of limits of dense graph sequences. Our limit objects, which we call Latinons, are certain two variable functions whose values are probability distributions on [0,1]. Left-convergence is defined using densities of k by k subpatterns in finite Latin squares, which extends to Latinons. We also provide counterparts to the cut distance, and prove a counting lemma, and an inverse counting lemma.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GJ18-01472Y" target="_blank" >GJ18-01472Y: Graph limits and inhomogeneous random graphs</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2019

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Acta Mathematica Universitatis Comenianae

ISSN

0231-6986

e-ISSN

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Volume of the periodical

88

Issue of the periodical within the volume

3

Country of publishing house

SK - SLOVAKIA

Number of pages

8

Pages from-to

709-716

UT code for WoS article

000484349000055

EID of the result in the Scopus database

2-s2.0-85073769981