Dissecting the circle, at random*
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 ch...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2014-01-01
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| Series: | ESAIM: Proceedings and Surveys |
| Online Access: | http://dx.doi.org/10.1051/proc/201444007 |
| Summary: | 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.
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| ISSN: | 1270-900X |