7 citations · 7 across the 3 of their papers we have counts for
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math.PR2025
Co-evolving vertex and edge dynamics in dense graphs
Siva Athreya, Frank den Hollander, Adrian Röllin
We consider a random graph in which vertices can have one of two possible colours. Each vertex switches its colour at a rate that is proportional to the number of vertices of the o…
math.PR2024
The SIR epidemic on a dynamic Erdős-Rényi random graph
Yuanfei Huang, Adrian Röllin
We investigate the SIR epidemic on a dynamic inhomogeneous Erdős-Rényi random graph, in which vertices are of one of types and in which edges appear and disappear independently…
math.PR2017★ 7 cited
Central limit theorems in the configuration model
A. D. Barbour, Adrian Röllin
We prove a general normal approximation theorem for local graph statistics in the configuration model, together with an explicit bound on the error in the approximation with respec…