3 papers
math.DS2026
Spectral Selection in Symmetric Self-Attention Dynamics
Christian Kuehn, Jaeyoung Yoon
We study self-attention dynamics on the unit sphere as an interacting particle system arising from an idealized Transformer-type update. Under a symmetry assumption on weight matri…
math.DS2026
Stability of Phase-Locked States in Signed Kuramoto Networks: Structure versus Adaptation
Jaeyoung Yoon, Christian Kuehn
Adaptive Kuramoto models admit a variety of nontrivial phase-locked configurations, including antipodal and rotating-wave states. A central open question is whether the observed pe…
math.DS2025
Adaptive Cucker-Smale Networks: Limiting Laplacian Time-Varying Dynamics
Christian Kuehn, Jaeyoung Yoon
Differences in opinion can be seen as distances between individuals, and such differences do not always vanish over time. In this paper, we propose a modeling framework that captur…