Tilings and discrete dirichlet problems

Israel Journal of Mathematics

Volumn 105, Issue , 1998, Pages 61-84

  Kenyon, Richard ^a  

^a UNIVERSITÉ DE LYON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007156637     PISSN: 00212172     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02780322     Document Type: Article

References (11)

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2. I. Benjamini and O. Schramm, Random walks and harmonic functions on infinite planar graphs, using square tilings, The Annals of Probability 24 (1996), 1219-1238.
3. B. Bollobas, Graph Theory, An Introductory Course, Springer, Berlin, 1979.
4. R. Brooks, R. Smith, S. Stone and W. Tutte, Leaky electricity and triangulated triangles, Philips Research Reports 30 (1975), 205-219.
5. J. Cannon, W. Floyd and W. Parry, Squaring rectangles: the finite Riemann mapping theorem, Contemporary Mathematics 169 (1994), 133-211.
6. Y. Colin de Verdière, Reseaux éléctriques planaires I, Commentarii Mathematici Helvetici 69 (1994), 351-374.
7. Y. Colin de Verdière, I. Gitler and D. Vertigan, Reseaux éléctriques planaires II, Commentarii Mathematici Helvetici 71 (1996), 144-167.
8. M. Dehn, Zerlegung von Rechtecke in Rechtecken, Mathematische Annalen 57 (1903), 314-332.
9. P. Doyle and J. Snell, Random Walks and Electrical Networks, Mathematical Association of America, 1984.
10. J. G. Kemeny and J. L. Snell, Finite Markov Chains, Springer, Berlin, 1976.
11. R. Kenyon, Tilings of convex polygons, Annales de l'Institut Fourier 47 (1997), 929-944.