3 papers
math.OC2026
Random Walks with Traversal Costs: Variance-Aware Performance Analysis and Network Optimization
Thao Le, Robbert van der Burg, Bernd Heidergott +2
We introduce weighted Markovian graphs, a random walk model that decouples the transition dynamics of a Markov chain from (random) edge weights representing the cost of traversing…
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…
q-bio.QM2024
A Unifying Theory of Aging and Mortality
Valentin Flietner, Bernd Heidergott, Frank den Hollander +3
In this paper, we advance the network theory of aging and mortality by developing a causal mathematical model for the mortality rate. First, we show that in large networks, where h…