Geodesic
Dissecting the circle, at random
Nicolas Curien1
1 CNRS et Université Paris 6. LPMA, 4 place Jussieu 75005 Paris .
ESAIM. Proceedings, Tome 44 (2014), pp. 129-139.

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Random laminations of the disk are the continuous limits of random non-crossing configurations of regular polygons. We provide an expository account on this subject. Initiated by the work of Aldous on the Brownian triangulation, this field now possesses many characters such as the random recursive triangulation, the stable laminations and the Markovian hyperbolic triangulation of the disk. We will review the properties and constructions of these objects as well as the close relationships they enjoy with the theory of continuous random trees. Some open questions are scattered along the text.
DOI : 10.1051/proc/201444007

Nicolas Curien 1

1 CNRS et Université Paris 6. LPMA, 4 place Jussieu 75005 Paris . 
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Nicolas Curien. Dissecting the circle, at random. ESAIM. Proceedings, Tome 44 (2014), pp. 129-139. doi : 10.1051/proc/201444007. http://geodesic.mathdoc.fr/articles/10.1051/proc/201444007/

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