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Concentration of Poisson U-Statistics: Subgraph Counts in Random Geometric Graphs Reitzner, Matthias
Description
A well known model in Stochastic Geometry is the Boolean model where balls are located at random in space and their union is investigated. The Vietoris-Rips and the Cech complex reflect the topological structure of the Boolean model. We are interested in concentration inequalities for the number of k-dimensional simplices of this simplicial complexes or more general subgraph counts. This gives rise to concentration inequalities for component counts. In the last part of the talk we investigate the Betti numbers of components of these simplicial complexes.
Item Metadata
Title |
Concentration of Poisson U-Statistics: Subgraph Counts in Random Geometric Graphs
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-03-28T09:01
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Description |
A well known model in Stochastic Geometry is the Boolean model where balls
are located at random in space and their union is investigated. The
Vietoris-Rips and the Cech complex reflect the topological structure of
the Boolean model.
We are interested in concentration inequalities for the number of
k-dimensional simplices of this simplicial complexes or more general
subgraph counts. This gives rise to concentration inequalities for
component counts. In the last part of the talk we investigate the Betti
numbers of components of these simplicial complexes.
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Extent |
28 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Universitat Osnabruck
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Series | |
Date Available |
2018-09-25
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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 |
10.14288/1.0372150
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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