Extreme boundary conditions and random tilings

Standard statistical mechanical or condensed matter arguments tell us that bulk properties of a physical system do not depend too much on boundary conditions. Random tilings of large regions provide counterexamples to such intuition, as illustrated by the famous 'arctic circle theorem'...

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Bibliographic Details
Main Author: Jean-Marie Stéphan
Format: Article
Language:English
Published: SciPost 2021-03-01
Series:SciPost Physics Lecture Notes
Online Access:https://scipost.org/SciPostPhysLectNotes.26