1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.OC2022
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…
math.AP2020★ 1 cited
A Cucker-Smale inspired deterministic mean field game with velocity interactions
Filippo Santambrogio, Woojoo Shim
We introduce a mean field game model for pedestrians moving in a given domain and choosing their trajectories so as to minimize a cost including a penalization on the difference be…
math.DS2020
Emergent behaviors of Thermodynamic Kuramoto ensemble on a regular ring lattice
Seung-Yeal Ha, Hansol Park, Tommaso Ruggeri +1
The temporal evolution of Kuramoto oscillators influenced by the temperature field often appears in biological oscillator ensembles. In this paper, we propose a generalized Kuramot…