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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.PR2026
The Instability of all Backoff Protocols
Leslie Ann Goldberg, John Lapinskas
In this paper we prove Aldous's conjecture from 1987 that there is no backoff protocol that is stable for any positive arrival rate. The setting is a communication channel for coor…