73 citations · 439 across the 61 of their papers we have counts for
3 papers · 2 filters
Time-changed extremal process as a random sup measure
Céline Lacaux, Gennady Samorodnitsky
A functional limit theorem for the partial maxima of a long memory stable sequence produces a limiting process that can be described as a -power time change in the classical Fré…
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…
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…