Frank Den Hollander

activity

20242026

collaborators

5 papers

math.PR2026

The multi-level friendship paradox for sparse random graphs

Rajat Subhra Hazra, Frank den Hollander, Azadeh Parvaneh

In Hazra, den Hollander and Parvaneh (2025) we analysed the friendship paradox for sparse random graphs. For four classes of random graphs we characterised the empirical distributi…

math.PR2025

Optimal Structure of Signal Networks for Efficient Information Aggregation

Bernd Heidergott, Frank den Hollander, Ines Lindner +1

This paper develops a mathematical framework to study signal networks, in which nodes can be active or inactive, and their activation or deactivation is driven by external signals…

math.PR2025

The friendship paradox for trees

Rajat Subhra Hazra, Frank den Hollander, Nelly Litvak +1

We analyse the friendship paradox on finite and infinite trees. In particular, we monitor the vertices for which the friendship-bias is positive, neutral and negative, respectively…

math.PR2025

The friendship paradox for sparse random graphs

Rajat Subhra Hazra, Frank den Hollander, Azadeh Parvaneh

Let $G_{n}$ be an undirected finite graph on $n \in N$ vertices labelled by $[n] = {1, \dots, n}$ . For $i \in [n]$ , let $I^_{i, n}$ be the friendship bias of vertex $i$ , defin…

math.PR2024

Interacting Particle Systems on Random Graphs

F. Capannoli, F. den Hollander

The present overview of interacting particle systems on random graphs collects the notes of a mini-course given by the authors at the Brazilian School of Probability, 5--9 August 2…