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Statistical Properties Of Thompson's Group And Random Pseudo Manifolds, Benjamin M. Woodruff
Statistical Properties Of Thompson's Group And Random Pseudo Manifolds, Benjamin M. Woodruff
Theses and Dissertations
The first part of our work is a statistical and geometric study of properties of Thompson's Group F. We enumerate the number of elements of F which are represented by a reduced pair of n-caret trees, and give asymptotic estimates. We also discuss the effects on word length and number of carets of right multiplication by a standard generator x0 or x1. We enumerate the average number of carets along the left edge of an n-caret tree, and use an Euler transformation to make some conjectures relating to right multiplication by a generator. We describe a computer algorithm which produces …