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math.PR2019
Convergence to scale-invariant Poisson processes and applications in Dickman approximation
Chinmoy Bhattacharjee, Ilya Molchanov
We study weak convergence of a sequence of point processes to a scale-invariant simple point process. For a deterministic sequence of positive real numbers…
math.PR2019
Large degrees in scale-free inhomogeneous random graphs
Chinmoy Bhattacharjee, Matthias Schulte
We consider a class of scale-free inhomogeneous random graphs, which includes some long-range percolation models. We study the maximum degree in such graphs in a growing observatio…