22 citations · 47 across the 17 of their papers we have counts for
22 papers
Higher-order interaction model from geometric measurements
Dohyun Kim, Hansol Park, Woojoo Shim
We introduce a higher simplicial generalization of the linear consensus model which shares several common features. The well-known linear consensus model is a gradient flow with a…
Long-time behaviour of interaction models on Riemannian manifolds with bounded curvature
Razvan C. Fetecau, Hansol Park
We investigate the long-time behaviour of solutions to a nonlocal partial differential equation on smooth Riemannian manifolds of bounded sectional curvature. The equation models s…
Mean field Kuramoto models on graphs
Wuchen Li, Hansol Park
One of a classical synchronization model is the Kuramoto model. We propose both first and second order Kuramoto dynamical models on graphs using discrete optimal transport dynamics…
Relaxation dynamics of SIR-flocks with random epidemic states
Seung-Yeal Ha, Hansol Park, Seoyeon Yang
We study the collective dynamics of a multi-particle system with three epidemic states as an internal state. For the collective modeling of active particle system, we adopt modelin…
A velocity alignment model on quotient spaces of the Euclidean space
Hansol Park
The Cucker-Smale(CS) model is a velocity alignment model, and this model also has been generalized on general manifolds. We modify the CS model on manifolds to get rid of a-priori…
Emergent behaviors of the kinetic Lohe Hermitian sphere model
Junhyeok Byeon, Seung-Yeal Ha, Gyuyoung Hwang +1
We study a global well-posedness of measure-valued solutions to the kinetic Lohe Hermitian sphere(LHS) model derived from the Lohe tensor(LT) model on the set of rank-1 complex ten…