Recursive Self-Similarity for Random Trees, Random Triangulations and Brownian Excursion
Aldous, David
Ann. Probab., Tome 22 (1994) no. 4, p. 527-545 / Harvested from Project Euclid
Recursive self-similarity for a random object is the property of being decomposable into independent rescaled copies of the original object. Certain random combinatorial objects--trees and triangulations--possess approximate versions of recursive self-similarity, and then their continuous limits possess exact recursive self-similarity. In particular, since the limit continuum random tree can be identified with Brownian excursion, we get a nonobvious recursive self-similarity property for Brownian excursion.
Publié le : 1994-04-14
Classification:  Self-similarity,  recursive,  random tree,  random triangulation,  Brownian excursion,  weak convergence,  centroid,  continuum tree,  60C05,  60B10,  60J65
@article{1176988720,
     author = {Aldous, David},
     title = {Recursive Self-Similarity for Random Trees, Random Triangulations and Brownian Excursion},
     journal = {Ann. Probab.},
     volume = {22},
     number = {4},
     year = {1994},
     pages = { 527-545},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176988720}
}
Aldous, David. Recursive Self-Similarity for Random Trees, Random Triangulations and Brownian Excursion. Ann. Probab., Tome 22 (1994) no. 4, pp.  527-545. http://gdmltest.u-ga.fr/item/1176988720/