Benjamin N. Wilson, Ph.D.
Assistant Professor of Mathematics
Department of Mathematics and Physics
Office: OMNA S174
B.S. in Mathematics, Lehigh University
Ph.D. in Mathematics, University of North Carolina at Chapel Hill
My research is in pure mathematics and focuses on dynamical systems, ergodic theory, and symbolic dynamics. Dynamical systems are mathematical structures which evolve over time according to rigidly defined rules. Ergodic theory uses tools of measure theory to analyze the long-term behavior of dynamical systems. The study of dynamical systems has applications in fields such as physics, biology, astronomy, economics and information theory.
Some of my work looks at generalizing the notion of neural complexity, a concept used to measure organization in neural networks, to the study of dynamical systems. I have also worked on applications of dynamical systems in computation linguistics and more specifically in computing the complexity of fictional, constructed languages.