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.PR2025
Phase Transitions in a Particle Model for the Self-Adaptive Response to Cancer Dynamics
Christian Kuehn, Quirin Vogel
In this paper, we present a probabilistic analysis of a dynamical particle model for the self-adaptive immune response to cancer, as proposed by the first author in a previous work…
nlin.AO2025
Mathematical Models for Self-Adaptive Response to Cancer Dynamics
Christian Kuehn
We consider two minimal mathematical models for cancer dynamics and self-adaptation. We aim to capture the interplay between the rapid progression of cancer growth and the possibil…