Geodesic
Theory of limits of sequences of Latin squares
Frederik Garbe1 ; Robert Hancock2 ; Jan Hladký1 ; Maryam Sharifzadeh3 ; Frederik Garbe ; Robert Hancock ; Jan Hladký ; Maryam Sharifzadeh
1Institute of Mathematics of the Czech Academy of Sciences, Prague, Czech Republic
2Faculty of Informatics, Masaryk University, Brno, Czech Republic
3Mathematics Institute and DIMAP, University of Warwick, Coventry, UK
Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 3, pp. 709-716 
Frederik Garbe; Robert Hancock; Jan Hladký; Maryam Sharifzadeh; Frederik Garbe; Robert Hancock; Jan Hladký; Maryam Sharifzadeh. Theory of limits of sequences of Latin squares. Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 3, pp. 709-716. http://geodesic.mathdoc.fr/item/AMUC_2019_88_3_a54/
@article{AMUC_2019_88_3_a54,
     author = {Frederik Garbe and Robert Hancock and Jan Hladk\'y and Maryam Sharifzadeh and Frederik Garbe and Robert Hancock and Jan Hladk\'y and Maryam Sharifzadeh},
     title = { Theory of limits of sequences of {Latin} squares},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {709--716},
     year = {2019},
     volume = {88},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2019_88_3_a54/}
}
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Voir la notice de l'article provenant de la source Comenius University

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.