Geodesic
Recurrence and transience of the edge graph of a tiling of the euclidean plane.
Mathematische Annalen, Tome 287 (1990) no. 1, pp. 613-626.

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Mots-clés : random walk on the edge graph of a quasi normal tiling of the plane, recurrent, strong isoperimetric inequality 
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     author = {P.M. Soardi},
     title = {Recurrence and transience of the edge graph of a tiling of the euclidean plane.},
     journal = {Mathematische Annalen},
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P.M. Soardi. Recurrence and transience of the edge graph of a tiling of the euclidean plane.. Mathematische Annalen, Tome 287 (1990) no. 1, pp. 613-626. http://geodesic.mathdoc.fr/item/MAN_1990__287_1_164709/