Electronic Journal of Probability
- Electron. J. Probab.
- Volume 21 (2016), paper no. 11, 31 pp.
Triangulating stable laminations
We study the asymptotic behaviour of random simply generated noncrossing planar trees in the space of compact subsets of the unit disk, equipped with the Hausdorff distance. Their distributional limits are obtained by triangulating at random the faces of stable laminations, which are random compact subsets of the unit disk made of non-intersecting chords and which are coded by stable Lévy processes. We also study other ways to “fill-in” the faces of stable laminations, which leads us to introduce the iteration of laminations and of trees.
Electron. J. Probab., Volume 21 (2016), paper no. 11, 31 pp.
Received: 16 September 2015
Accepted: 26 January 2016
First available in Project Euclid: 15 February 2016
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Kortchemski, Igor; Marzouk, Cyril. Triangulating stable laminations. Electron. J. Probab. 21 (2016), paper no. 11, 31 pp. doi:10.1214/16-EJP4559. https://projecteuclid.org/euclid.ejp/1455559938