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The winner takes it all but one
Maria Deijfen, Remco van der Hofstad, Matteo Sfragara
We study competing first passage percolation on graphs generated by the configuration model with infinite-mean degrees. Initially, two uniformly chosen vertices are infected with t…
Large deviation principle for the maximal eigenvalue of inhomogeneous Erdős-Rényi random graphs
Arijit Chakrabarty, Rajat Subhra Hazra, Frank den Hollander +1
We consider an inhomogeneous Erdős-Rényi random graph with vertex set for which the pair of vertices , , is connected by an edge w…
Spectra of Adjacency and Laplacian Matrices of Inhomogeneous Erdős-Rényi Random Graphs
Arijit Chakrabarty, Rajat Subhra Hazra, Frank den Hollander +1
Inhomogeneous Erdős-Rényi random graphs on vertices in the non-dense regime are considered in this paper. The edge between the pair of vertices is retai…
Transition time asymptotics of queue-based activation protocols in random-access networks
Sem Borst, Frank den Hollander, Francesca R. Nardi +1
We consider networks where each node represents a server with a queue. An active node deactivates at unit rate. An inactive node activates at a rate that depends on its queue lengt…