22 citations · 58 across the 19 of their papers we have counts for
7 papers · 1 filter
A Tight Epidemic Threshold for Competing Stochastic Infection Processes with Mutually Exclusive Immunity
Nicolas Klodt, Martin S. Krejca
Stochastic infection processes are continuous-time Markov chains on graphs that assign each vertex one of multiple states, such as susceptible, infected, or recovered. Depending on…
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…
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…
From Market Saturation to Social Reinforcement: Understanding the Impact of Non-Linearity in Information Diffusion Models
Tobias Friedrich, Andreas Göbel, Nicolas Klodt +2
Diffusion of information in networks is at the core of many problems in AI. Common examples include the spread of ideas and rumors as well as marketing campaigns. Typically, inform…
The Flip Schelling Process on Random Geometric and Erdös-Rényi Graphs
Thomas Bläsius, Tobias Friedrich, Martin S. Krejca +1
Schelling's classical segregation model gives a coherent explanation for the wide-spread phenomenon of residential segregation. We consider an agent-based saturated open-city varia…
A spectral independence view on hardspheres via block dynamics
Tobias Friedrich, Andreas Göbel, Martin S. Krejca +1
The hard-sphere model is one of the most extensively studied models in statistical physics. It describes the continuous distribution of spherical particles, governed by hard-core i…