8 papers · 1 filter
Infection models on dense dynamic random graphs
Simone Baldassarri, Peter Braunsteins, Frank den Hollander +1
We consider Susceptible-Infected-Recovered (SIR) models on dense dynamic random graphs, in which the joint dynamics of vertices and edges are co-evolutionary, i.e., they influence…
Lévy-driven queuing networks in multi-scale light and heavy traffic
Krzysztof DÈ©bicki, Nikolai Kriukov, Michel Mandjes
We study a queueing network with a strictly upper-triangular routing matrix, where each column contains at most one non-negative entry, and the root node receives input from a spec…
Functional Central Limit Theorem for the simultaneous subgraph count of dynamic ErdÅs-Rényi random graphs
Rajat Subhra Hazra, Nikolai Kriukov, Michel Mandjes
In this paper we consider a dynamic ErdÅs-Rényi random graph with independent identically distributed edge processes. Our aim is to describe the joint evolution of the entries of…
Functional central limit theorem for subgraph counts in a dynamic random connection model
Rajat Subhra Hazra, Nikolai Kriukov, Michel Mandjes +1
We prove a functional central limit theorem for subgraph counts in a dynamic version of the random connection model. To establish tightness, we develop a dynamic extension of the c…
Parameter estimation in a dynamic Chung-Lu random graph
Rajat Subhra Hazra, Michel Mandjes, Jiesen Wang
In this paper we consider a dynamic version of the Chung-Lu random graph in which the edges alternate between being present and absent. The main contribution concerns a technique b…
Inference for dynamic ErdÅs-Rényi random graphs under regime switching
Michel Mandjes, Jiesen Wang
This paper examines a model involving two dynamic ErdÅs-Rényi random graphs that evolve in parallel, with edges in each graph alternating between being present and absent accordi…