Random sampling of domino and lozenge tilings

Schnappschüsse moderner Mathematik aus 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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Mathematisches Fachgebiet

Diskrete Mathematik und Grundlagen

Verbindung zu anderen Gebieten

Informatik

Physik

Autor(en)

Éric Fusy

Lizenz

CC BY-SA-4.0

DOI (Digital Object Identifier)

10.14760/SNAP-2016-002-EN

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2016-002-fusy.pdf

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