Tilings and discrete Dirichlet problems
type: Item
instance of: scholarly article
title: Tilings and discrete Dirichlet problems
zbMATH Open document ID: 0938.60070
DOI: 10.1007/BF02780322
published in: Israel Journal of Mathematics
publication date: 2000-06-08T00:00:00Z
review text: The main result of the paper is the correspondence between trapezoid tilings of general polygons and harmonic functions on planar Markov chains. A trapezoid means a quadrilateral with two horizontal edges. By a harmonic function on a Markov chain with boundary we mean a function on the vertices of the chain which is harmonic except at the boundary vertices.
reviewed by: T.Fiala
Mathematics Subject Classification ID: 60J27
zbMATH DE Number: 1195641
zbMATH Keywords: Markov chains
zbMATH Keywords: trapezoid
zbMATH Keywords: harmonic function
author: Richard Kenyon
MaRDI profile type: Publication
cites work: Random walks and harmonic functions on infinite planar graphs using square tilings
cites work: Q4198785
cites work: Q4315616
cites work: Planar electric networks. I
cites work: Planar electric networks. II
cites work: Q3706275
cites work: Q4094202
cites work: Tilings of convex polygons
description: scientific article; zbMATH DE number 1195641