1 citations · 1 across the 17 of their papers we have counts for
8 papers · 1 filter
A simple proof of rapid mixing on random regular graphs beyond uniqueness
Andreas Göbel, Matthew Jenssen, Marcus Michelen +3
A recent breakthrough of Chen, Chen, Chen, Yin, and Zhang shows rapid mixing for Glauber dynamics for the hard-core model on random regular graphs beyond the tree uniqueness thresh…
Information-Theoretic Thresholds for Bipartite Latent-Space Graphs under Noisy Observations
Andreas Göbel, Marcus Pappik, Leon Schiller
We study information-theoretic phase transitions for the detectability of latent geometry in bipartite random geometric graphs RGGs with Gaussian d-dimensional latent vectors while…
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…
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 act…
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…
Analysis of the survival time of the SIRS process via expansion
Tobias Friedrich, Andreas Göbel, Nicolas Klodt +2
We study the SIRS process, a continuous-time Markov chain modeling the spread of infections on graphs. In this model, vertices are either susceptible, infected, or recovered. Each…
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…
Polymer Dynamics via Cliques: New Conditions for Approximations
Tobias Friedrich, Andreas Göbel, Martin S. Krejca +1
Abstract polymer models are systems of weighted objects, called polymers, equipped with an incompatibility relation. An important quantity associated with such models is the partit…