Random sampling of domino and lozenge tilings

Instantanés de recherche mathématique à Oberwolfach

Random sampling of domino and lozenge tilings

A grid region is (roughly speaking) a collection of “elementary cells” (squares, for example, or triangles) in the plane. One can “tile” these grid regions by ar- ranging the cells in pairs. In this snapshot we review different strategies to generate random tilings of large grid regions in the plane. This makes it possible to observe the behaviour of large random tilings, in par- ticular the occurrence of boundary phenomena that have been the subject of intensive recent research. 

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Sujet mathématique

Mathématiques discrètes et fondements des mathématiques

Liens avec d'autres domaines

Informatique
Physique

Auteur(s)

Éric Fusy

Licence

DOI

10.14760/SNAP-2016-002-EN

Télécharger PDF

2016-002-fusy.pdf

PDF

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Sujet mathématique

Algèbre et théorie des nombres
Analyse
Pédagogie et éducation
Mathématiques discrètes et fondements des mathématiques
Géométrie et Topologie
Calcul numérique et calcul scientifique
Théorie des probabilités et statistique

Liens avec d'autres domaines

Chimie et sciences de la terre
Informatique
Ingénierie et technologie
Finances
Humanités et sciences sociales
Sciences de la vie
Physique
Pensées mathématiques

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