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Department of Mathematical Sciences
DATE: | Thursday, November 21, 2019 |
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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 |
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.