3 papers
math-ph2026
The Widom-Rowlinson model: Mesoscopic fluctuations for the critical droplet
Frank den Hollander, Sabine Jansen, Roman Kotecký +1
We study the critical droplet for a close-to-equilibrium Widom-Rowlinson model of interacting particles, represented by disks of radius , in the two-dimensional plane at low tem…
math.PR2026
Sparse random graphs with many triangles
Suman Chakraborty, Remco van der Hofstad, Frank den Hollander
In this paper we consider the ErdÅs-Rényi random graph in the sparse regime in the limit as the number of vertices tends to infinity. We are interested in what this graph loo…
math.PR2025
Large deviation principle for the norm of the Laplacian matrix of inhomogeneous ErdÅs-Rényi random graphs
Rajat Subhra Hazra, Frank den Hollander, Maarten Markering
We consider an inhomogeneous ErdÅs-Rényi random graph with vertex set for which the pair of vertices , , is connected by an edge…