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Random walk on simplicial complexes Decreusefond, Laurent
Description
We generalize random walks on graphs to random walks on simplicial complexes, also called hypergraphs, using some notions of topological algebra. The transition matrix of this RW is related to the higher order Laplacian which is the generalization of graph Laplacian. We also analyze the limit behavior of this RW when the number of points in the simplicial complex tends to infinity.
Item Metadata
Title |
Random walk on simplicial complexes
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-05-20T09:06
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Description |
We generalize random walks on graphs to random walks on simplicial complexes, also called hypergraphs, using some notions of topological algebra. The transition matrix of this RW is related to the higher order Laplacian which is the generalization of graph Laplacian. We also analyze the limit behavior of this RW when the number of points in the simplicial complex tends to infinity.
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Extent |
37.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Telecom ParisTech
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Series | |
Date Available |
2019-11-17
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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 |
10.14288/1.0385513
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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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