Mixing Times of Plane Random Rhombus Tilings

We address the question of single flip discrete dynamics in sets of two-dimensional random rhombus tilings with fixed polygonal boundaries. Single flips are local rearrangements of tiles which enable to sample the configuration sets of tilings via Markov chains. We determine the convergence rates of...

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Bibliographic Details
Main Author: Nicolas Destainville
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2001-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/2300/pdf