Publications

Preprints and Working Papers

  1. Spectral Selection in Symmetric Self-Attention Dynamics (with C. Kuehn). Under review. arXiv

  2. Stochastic Modified Equations for Stochastic Gradient Descent in Infinite-Dimensional Hilbert Spaces (with S. Cerrai, Q. Li, and A. Nair). Under review. arXiv

  3. Stability of Phase-Locked States in Signed Kuramoto Networks: Structure versus Adaptation (with C. Kuehn). Under review. arXiv

  4. Existence of periodic measure-valued solutions to the nonlocal continuity equation via optimal transport (with S.-Y. Ha, G. Hwang, and P. Thieullen). Under review. arXiv

  5. Asymptotic Regimes of Self-Attention Dynamics (with C. Kuehn). Working paper.

  6. Propagation in Random Space for Cucker–Smale Models: On the Role of Flocking and Random Batch Method (with Z. Huang and Y. Wang). Working paper.

Publications

  1. CBO algorithm with average drift and applications to portfolio optimization (with H.-O. Bae, S.-Y. Ha, C. Min, and J. Yoo). Journal of Computational and Applied Mathematics, 485 (2026), 117535. Link arXiv

  2. Adaptive Cucker-Smale Networks: Limiting Laplacian Time-Varying Dynamics (with C. Kuehn). To appear in Nonlinear Analysis: Real World Applications, 90 (2026), 104563. Link arXiv

  3. Emergence of partial tracking in the set of active pursuer-evader pairs in Euclidean space (with H. Ahn, J. Byeon, and S.-Y. Ha). Automatica, 179 (2025), 112445. Link

  4. Continuum limit and emergent behaviors of continuum Kuramoto model on Euclidean spaces (with S.-Y. Ha, D. Ko, and W. Yoon). Journal of Mathematical Physics, 66 (2025), 042704. Link

  5. Measure-valued death state and local sensitivity analysis for Winfree models with uncertain high-order couplings (with M. Kang, S.-Y. Ha, and M. Zanella). Communications in Mathematical Sciences, 23 (2025), 1583–1629. Link arXiv

  6. Interplay of geometric constraint and bonding force in the emergent behaviors of relativistic Cucker-Smale flocks (with H. Ahn, J. Byeon, and S.-Y. Ha). Advances in Differential Equations, 30 (2025), 269–314. Link

  7. Consensus, error estimates and applications of first and second-order consensus-based optimization algorithms (with J. Byeon, S.-Y. Ha, G. Hwang, and D. Ko). Mathematical Models and Methods in Applied Sciences, 22 (2025), 345–401. Link

  8. Collective behaviors of second-order nonlinear consensus models with a bonding force (with H. Ahn, J. Byeon, and S.-Y. Ha). Journal of the Korean Mathematical Society, 61 (2024), 565–602. Link arXiv

  9. Asymptotic tracking of a point cloud moving on Riemannian manifolds (with H. Ahn, J. Byeon, and S.-Y. Ha). SIAM Journal on Control and Optimization, 61 (2023), 2379–2406. Link

  10. Asymptotic dynamics of the Winfree oscillators with singular interaction functions (with S.-Y. Ha and D. Ko). Acta Applicandae Mathematicae, 185 (2023). Link arXiv

  11. On the relativistic flocks over the unit sphere and the hyperboloid in a bonding force field (with H. Ahn, J. Byeon, and S.-Y. Ha). Journal of Mathematical Physics, 64 (2023). Link

  12. On the mathematical theory of behavioral swarms emerging collective dynamics (with N. Bellomo, S.-Y. Ha, and N. Outada). Mathematical Models and Methods in Applied Sciences, 32 (2022), 2927–2959. Link

  13. An energy preserving discretization method for the thermodynamic Kuramoto model and collective behaviors (with S.-Y. Ha and W. Shim). Communications in Mathematical Sciences, 20 (2022), 495–521. Link