asymptotic alignment 1bonding forces 1cucker-smale model 1flocking 1parallel transport 1riemannian geometry 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.DS2026
Geometric Control of Moving Parallel Transport in Riemannian Cucker--Smale Dynamics with Bonding Forces
Hyunjin Ahn, Woojoo Shim
The paper analyzes a Cucker–Smale flocking model with bonding forces on complete Riemannian manifolds, addressing curvature effects on parallel transport and proving asymptotic vel…
math.AP2026
Finite-dimensional reduction of a Wasserstein gradient flow and sharp decay rates
Dohyun Kim, Hansol Park, Woojoo Shim
We study the Wasserstein gradient flow generated by a family of extended generalized variance functionals, defined as the expected squared -dimensional volume of a simplex, whic…
math.DS2025
Asymptotic stability of the high-dimensional Kuramoto model on Stiefel manifolds
Dohyun Kim, Woojoo Shim
The aim of this article is to investigate the convergence properties of a heterogeneous consensus model on Stiefel manifolds. We consider each agent, without interaction, moving ac…