Conley Index Theory

Tuesday, February 11, 2014 - 2:00pm - 2:50pm
Sarah Day (College of William and Mary)
Outer approximations of continuous, discrete-time systems, or maps, incorporate bounded error and allow for the rigorous extraction of dynamics via Conley Index theory and other tools. Recent advances, including joint work with W. Kalies, M. D. LaMar, R. Trevi'no and R. Frongillo, have extended the class of maps to which these methods may be applied and improved the types of results that one may obtain, specifically in terms of computed lower bounds on topological entropy.
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