Research Interests: Computational Topology, Dynamical Systems, Shape Spaces, Computational Mechanics
Advisors: Liz Bradley, Jim Meiss, Carla Farsi Ph.D. in Mathematics / Expected May 2018 / University of Colorado, Boulder
Stephen Preston, Jim Meiss, Liz Bradley M.A. in Mathematics / May 2015 / University of Colorado, Boulder
Mentors: Abby Thompson, Jim Crutchfield B.S. in Mathematics / June 2012 / University of California, Davis
Contact: nicole.sanderson@colorado.edu
Many real-world and interesting systems fall in the realm of non-stationary stochastic processes. This means that the behavior, or dynamics, of the system at one point in time can be drastically different from the behavior dynamics at another. Some examples include internet usage during attack vs. normalcy, stock market pricing, and REM cycles. In these…
We can measure the distance between Los Angeles and New York. We can measure the distance between species of plants and animals. So why not measure the distance between a triangle and a square? Of course, this comes down to what we chose as our definition of distance. When we think of each shape as…
Consider an alphabet of two letters A={0,1}, and then the set A* of all finite words made up of 0’s and 1’s. We call any subset of this infinite set of words a language, L. The Chompsky Heirarchy structures the space of languages according to the types of “machines” that can recognize the languages. Here, a…
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