The Annals of Probability
- Ann. Probab.
- Volume 22, Number 2 (1994), 527-545.
Recursive Self-Similarity for Random Trees, Random Triangulations and Brownian Excursion
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.
Ann. Probab., Volume 22, Number 2 (1994), 527-545.
First available in Project Euclid: 19 April 2007
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Aldous, David. Recursive Self-Similarity for Random Trees, Random Triangulations and Brownian Excursion. Ann. Probab. 22 (1994), no. 2, 527--545. doi:10.1214/aop/1176988720. https://projecteuclid.org/euclid.aop/1176988720