3 papers
math.PR2026
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.PR2025
Mean-field spin models -- Fluctuation of the magnetization and maximum likelihood estimator
Van Hao Can, Adrian Röllin
Consider the mean-field spin models where the Gibbs measure of each configuration depends only on its magnetization. Based on the Stein and Laplace methods, we give a new and short…
math.PR2024
The Moran model with random resampling rates
Siva Athreya, Frank den Hollander, Adrian Röllin
In this paper we consider the two-type Moran model with individuals. Each individual is assigned a resampling rate, drawn independently from a probability distribution ${\mathb…