471 citations · 1.1k across the 39 of their papers we have counts for
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Clustering comparison of point processes with applications to random geometric models
Bartłomiej Błaszczyszyn, D. Yogeshwaran
In this chapter we review some examples, methods, and recent results involving comparison of clustering properties of point processes. Our approach is founded on some basic observa…
Far-out Vertices In Weighted Repeated Configuration Model
Bartlomiej Blaszczyszyn, Kumar Gaurav
We consider an edge-weighted uniform random graph with a given degree sequence (Repeated Configuration Model) which is a useful approximation for many real-world networks. It has b…
Random linear multihop relaying in a general field of interferers using spatial Aloha
Bartlomiej Blaszczyszyn, Paul Muhlethaler
In our basic model, we study a stationary Poisson pattern of nodes on a line embedded in an independent planar Poisson field of interfering nodes. Assuming slotted Aloha and the si…
Using Poisson processes to model lattice cellular networks
Bartlomiej Blaszczyszyn, Mohamed Kadhem Karray, Holger Paul Keeler
An almost ubiquitous assumption made in the stochastic-analytic study of the quality of service in cellular networks is Poisson distribution of base stations. It is usually justifi…