Geodesic
The Markovian hyperbolic triangulation
Journal of the European Mathematical Society, Tome 15 (2013) no. 4, pp. 1309-1341 Cet article a éte moissonné depuis la source EMS Press

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We construct and study the unique random tiling of the hyperbolic plane into ideal hyperbolic triangles (with the three corners located on the boundary) that is invariant (in law) with respect to Möbius transformations, and possesses a natural spatial Markov property that can be roughly described as the conditional independence of the two parts of the triangulation on the two sides of the edge of one of its triangles.
DOI : 10.4171/jems/393
Classification : 60-XX, 30-XX, 00-XX 
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     author = {Nicolas Curien and Wendelin Werner},
     title = {The {Markovian} hyperbolic triangulation},
     journal = {Journal of the European Mathematical Society},
     pages = {1309--1341},
     year = {2013},
     volume = {15},
     number = {4},
     doi = {10.4171/jems/393},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/393/}
}
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Nicolas Curien; Wendelin Werner. The Markovian hyperbolic triangulation. Journal of the European Mathematical Society, Tome 15 (2013) no. 4, pp. 1309-1341. doi: 10.4171/jems/393

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