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Showing 2014 · math.PRShow all
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math.PR2014★ 1 cited
Tauberian Theory for Multivariate Regularly Varying Distributions with Application to Preferential Attachment Networks
Sidney Resnick, Gennady Samorodnitsky
Abel-Tauberian theorems relate power law behavior of distributions and their transforms. We formulate and prove a multivariate version for non-standard regularly varying measures o…
math.PR2014★ 2 cited
Nonstandard regular variation of in-degree and out-degree in the preferential attachment model
Gennady Samorodnitsky, Sidney Resnick, Don Towsley +3
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-deg…