Nonlinear Dynamics, High Dimensional Data, and Persistent Homology
It is almost cliche at this point to note that high dimensional data is being collected from experiments or generated through numerical simulation at an unprecedented rate and that this rate will continue rising extremely rapidly for the foreseeable future. Our interest is in data associated with nonlinear dynamics. The focus of this talk is on our efforts to use topological tools to characterize and classify high dimensional nonlinear time series associated with processes that exhibit complex spatiotemporal patterns. The long term goal is to develop robust efficient techniques for comparing experimental work against numerical simulation. I will introduce the necessary mathematical theory and provide examples arising from fluid flow and dense granular media.
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- Fairleigh Dickinson University
- Teaneck, New Jersey
- United States 07666
- Building: Auditorium M105, Muscarelle Center
- Click here for Map
- Contact Event Host
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Hong Zhao (201)-692-2350, zhao@fdu.edu; Alfredo Tan, tan@fdu.edu, Howard Leach h.leach@ieee.org
- Co-sponsored by SP01 and School of Computer Sciences and Engineering, FDU
- Starts 09 March 2015 07:00 PM UTC
- Ends 27 April 2015 04:00 PM UTC
- No Admission Charge
Agenda
Dr. Konstantin Mischaikow received a B.A. in mathematics from Reed College in 1979, and an M.A and Ph.D. in mathematics from the University of Wisconsin, Madison in 1983 and 1985, respectively. He was a Visiting Assistant Professor (Research) in the Division of Applied Mathematics at Brown University from 1985-1987. He spent 1987-1989 at Michigan State University and then moved to Georgia Tech from 1989 – 2006, and is currently a Distinguished Professor at Rutgers University with a joint appointment in the Mathematics Department and the BioMaPS Institute. His research interests include nonlinear dynamics, computational topology, and topological data analysis.
Dr. Mischaikow is a Fellow of the American Mathematical Society. He has served on the editorial or advisory boards of a variety of journals including the Journal of Differential Equations, SIAM Dynamical Systems, SIAM Numerical Analysis, and Foundations of Computational Mathematics.