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math.PR2026
Reemergence of the Epidemic Threshold in SIRS Infections on Connected Stars
Andreas Göbel, Nicolas Klodt, Martin S. Krejca
The SIRS process is a continuous-time process for how infections spread on a graph. In this model, each vertex is in one of the following three states: susceptible (to the infectio…
math.PR2025
Gradually Declining Immunity Retains the Exponential Duration of Immunity-Free Diffusion
Andreas Göbel, Nicolas Klodt, Martin S. Krejca +1
Diffusion processes pervade numerous areas of AI, abstractly modeling the dynamics of exchanging, oftentimes volatile, information in networks. A central question is how long the i…
math.PR2024
Uniqueness of locally stable Gibbs point processes via spatial birth-death dynamics
Samuel Baguley, Andreas Göbel, Marcus Pappik
We prove that for every locally stable and tempered pair potential with bounded range, there exists a unique infinite-volume Gibbs point process on for every ac…