##Statistics Seminar##\\ Department of Mathematical Sciences
^ **DATE:**|Thursday, November 21, 2019 |
^ **TIME:**|1:15pm -- 2:15pm |
^ **LOCATION:**|WH 100E |
^ **SPEAKER:**|Yingsong Chen, Binghamton University |
^ **TITLE:**|Recursive Self-Similarity for Random Trees, Random Triangulations and Brownian Excursion |
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**Abstract**
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.