Date of Submission
Fall 2016
Academic Programs and Concentrations
Mathematics
Project Advisor 1
James Belk
Abstract/Artist's Statement
In this paper we consider the statistical properties of random walks on Thompson’s group F . We use two-way forest diagrams to represent elements of F . First we describe the random walk of F by relating the steps of the walk to the possible interactions between two-way forest diagrams and the elements of {x0,x1}, the finite generating set of F, and their inverses. We then determine the long-term probabilistic and recurrence properties of the walk.
Open Access Agreement
Open Access
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
Recommended Citation
Ghandour, Sarah C., "Random Walks on Thompson's Group F" (2016). Senior Projects Fall 2016. 36.
https://digitalcommons.bard.edu/senproj_f2016/36
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