5 papers · 1 filter
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…
Fast and Slow Mixing of the Kawasaki Dynamics on Bounded-Degree Graphs
Aiya Kuchukova, Marcus Pappik, Will Perkins +1
We study the worst-case mixing time of the global Kawasaki dynamics for the fixed-magnetization Ising model on the class of graphs of maximum degree . Proving a conjecture of C…
Simple analyticity criteria for repulsive multi-body potentials
Tyler Helmuth, Marcus Pappik, Will Perkins
We prove a simple, explicit lower bound on the radius of a zero-free disk for Gibbs point processes defined by finite-range, repulsive multi-body interactions. Our lower bound impr…
Testing Thresholds and Spectral Properties of High-Dimensional Random Toroidal Graphs via Edgeworth-Style Expansions
Samuel Baguley, Andreas Göbel, Marcus Pappik +1
We study high-dimensional random geometric graphs (RGGs) of edge-density with vertices uniformly distributed on the -dimensional torus and edges inserted between sufficientl…
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…