4 papers
Delta-Epsilon-Common Knowledge and Quantitative Agreement Theorems
Christina Pawlowitsch, Stefan Schrott, Daniel Toneian
Aumann defined common knowledge mathematically and established his now famous Agreement Theorem. We present a novel approach to quantifying how close individuals are to commonly kn…
On Strassen's Theorem for support functions
Stefan Schrott, Daniel Toneian
Strassen established that there exists a two step martingale with marginal distributions , if and only if , are in convex order. Recently Choné-Gozlan-Kramarz obtaine…
Robust models of SARS-CoV-2 heterogeneity and control
Kory D. Johnson, Annemarie Grass, Daniel Toneian +2
In light of the continuing emergence of new SARS-CoV-2 variants and vaccines, we create a simulation framework for exploring possible infection trajectories under various scenarios…
Disease Momentum: Estimating the Reproduction Number in the Presence of Superspreading
Kory D. Johnson, Mathias Beiglböck, Manuel Eder +6
A primary quantity of interest in the study of infectious diseases is the average number of new infections that an infected person produces. This so-called reproduction number has…