Abstract Details
Activity Number:
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578
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Type:
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Invited
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Date/Time:
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Wednesday, August 12, 2015 : 2:00 PM to 3:50 PM
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Sponsor:
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IMS
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Abstract #314242
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View Presentation
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Title:
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Nonstandard Regular Variation of In-Degree and Out-Degree in the Preferential Attachment Model
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Author(s):
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Gennady Samorodnitsky* and Sidney Resnick and Don Towsley and Richard A. Davis and Amy Willis and Phyllis Wan
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Companies:
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Cornell University and Cornell University and University of Massachusetts Amherst and Columbia University and Cornell University and Columbia University
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Keywords:
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multivariate heavy tails ;
preferential attachement model ;
scale free networks
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Abstract:
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For the directed edge preferential attachment network growth model studied by Bollobas et al. (2003) and Krapivsky and Redner (2001), we prove that the joint distribution of in-degree and out-degree has jointly regularly varying tails. Typically the marginal tails of the in-degree distribution and the out-degree distribution have different regular variation indices and so the joint regular variation is non-standard. Only marginal regular variation has been previously established for this distribution in the cases where the marginal tail indices are different.
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Authors who are presenting talks have a * after their name.
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