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Convex Hulls of Trajectories Kaihnsa, Nidhi
Description
I will talk about the convex hulls of trajectories of polynomial dynamical systems. Such trajectories also include real algebraic curves. The main problem is to describe the boundary of the resulting convex hulls. The motivation to describe these convex hulls comes from attainable region theory in chemistry, where taking convex combinations of points corresponds to mixing results of reactions. We stratify the boundary into families of faces comprised of patches. We define patches using the notion of normal cycles from integral geometry. I will discuss the numerical algorithms we developed for identifying these patches. This is a joint work with Daniel Ciripoi, Andreas Loehne, and Bernd Sturmfels.
Item Metadata
Title |
Convex Hulls of Trajectories
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2020-06-02T10:20
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Description |
I will talk about the convex hulls of trajectories of polynomial dynamical systems. Such trajectories also include real algebraic curves. The main problem is to describe the boundary of the resulting convex hulls. The motivation to describe these convex hulls comes from attainable region theory in chemistry, where taking convex combinations of points corresponds to mixing results of reactions.
We stratify the boundary into families of faces comprised of patches. We define patches using the notion of normal cycles from integral geometry. I will discuss the numerical algorithms we developed for identifying these patches. This is a joint work with Daniel Ciripoi, Andreas Loehne, and Bernd Sturmfels.
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Extent |
36.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Brown University
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Series | |
Date Available |
2020-11-30
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0395100
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International