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math.PR2026
Degree-dependent and distance-dependent contact rates interpolate between explosive, exponential and polynomial epidemic growth
Zylan Benjert, Júlia Komjáthy, Johannes Lengler +2
It is a fundamental question in epidemiology to estimate, model and predict the growth rate of a pandemic. Analogously, analysing the diffusion of innovation, (fake) news, memes, a…
math.PR2025
The Diameter of (Threshold) Geometric Inhomogeneous Random Graphs
Zylan Benjert, Kostas Lakis, Johannes Lengler +1
We prove that the diameter of threshold (zero temperature) Geometric Inhomogeneous Random Graphs (GIRG) is . This has strong implications for the runtime of many distri…