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Full-Text Articles in Physical Sciences and Mathematics
On Elegance, Form, And Function: Exploring The Nexus Between Scientific Research And Movement Research, Naja N. Gordon
On Elegance, Form, And Function: Exploring The Nexus Between Scientific Research And Movement Research, Naja N. Gordon
Senior Projects Fall 2016
Live performance is an inimitable opportunity for a transfer of energy between viewer and performer. Through movement, I attempt to provide a foundation for this transfer. At the heart of my practice is a deep curiosity about movement as it relates to energy, a truly indestructible force. Moreover, systems need energy in order to function. When I think of a dance as a system, or a collection of dancers on stage as a system, the energy that feeds them is the energy that makes a composition .There is kinetic and potential energy within physical practice, incandescent energy from the lights, …
Random Walks On Thompson's Group F, Sarah C. Ghandour
Random Walks On Thompson's Group F, Sarah C. Ghandour
Senior Projects Fall 2016
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.