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Mathematics
AIM Seminar: Topological Entropy Three Ways: new efficient algorithms for measuring fluid flow complexity
Speaker: Spencer Smith (Department of Physics, Mt Holyoke College) Abstract: Mixing in non-turbulent 2-dimensional fluid flows is due to the repeated stretching and folding of material lines. The exponential rate of increase in the length of these curves provides a fundamental measure of flow complexity. This presents an interesting challenge in the case where our knowlege of the fluid flow is through sparse data: Given a set of trajectories and…
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Mathematics
Colloquium/AIM Seminar: Mathematical aspects of Topological Data Analysis
Speaker: Peter Bubenik (Dept of Math, University of Florida) Abstract: Topological Data Analysis (TDA) is a new approach to analyzing complicated geometric and/or high dimensional data. The central mathematical object of TDA is the persistence module, which can be understood using the language of a number of different branches of mathematics. It turns out that taking an applied viewpoint on this algebraic object leads us to new mathematics. I will…