Deterministic dynamics of sampling processe in score-based diffusion models with multiplicative noise conditioning*. Under review.
A unified framework for distributed optimization algorithms over time-varying directed graphs* (with W. Choi and S.-B. Yun). Under review.
On the convergence result of the gradient-push algorithm on directed graphs with constant stepsize* (with W. Choi and S.-B. Yun). Journal of Global Optimization (2025).
Stationary Mixture BGK Models with the Correct Fick Coefficients* (with S. Brull, M.-S. Lee and S.-B. Yun). Journal of Statistical Physics 191 (2024), 69.
Convergence results of a nested decentralized gradient method for non-strongly convex problems (with W. Choi and S.-B. Yun*). Journal of Optimization Theory and Applications 195 (2022), 172-204.
Convergence analysis of the discrete consensus-based optimization algorithm with random batch interactions and heterogeneous noises* (with D. Ko, S.-Y. Ha and S. Jin). Mathematical Models and Methods in Applied Sciences 32(6) (2022), 1071-1107.
The mean-field limit of the Cucker-Smale model on complete Riemannian manifolds (with H. Ahn, S.-Y. Ha, F. W. Schlöder and W. Shim*). Quarterly of Applied Mathematics 80 (2022), 403-450.
Entropy production estimate for the ES-BGK model with the correct Prandtl number (with M.-S. Lee and S.-B. Yun*). Journal of Mathematical Analysis and Applications 514(2) (2022), 126323.
Continuous rendezvous algorithm for memoryless agents with limited visibility in the Euclidean space*. SIAM Journal on Control and Optimization 60(2) (2022), 732-757.
Interplay of random inputs and adaptive couplings in the Winfree model (with S.-Y. Ha and B. Moon). Communications on Pure and Applied Analysis 20(11) (2021), 3959-3990.
Convergence toward equilibrium of the first-order consensus model with random batch interactions (with S.-Y. Ha, S. Jin and D. Ko*). Journal of Differential Equations 302 (2021), 585-616.
Stationary BGK models for chemically reacting gas in a slab (with M.-S. Lee and S.-B. Yun*). Journal of Statistical Physics 184 (2021), 24.
Emergent behaviors of Cucker-Smale flocks on a Riemannian manifold* (with S.-Y. Ha and F. W. Schlöder). IEEE Transactions on Automatic Control 66(7) (2021), 3020-3035.
Uniform-in-time error estimate of the random batch method for the Cucker–Smale model (with S.-Y. Ha, S. Jin and D. Ko*). Mathematical Models and Methods in Applied Sciences 31(6) (2021), 1099-1135.
Uniform error estimates for the Random Batch Method to the first-order consensus models with anti-symmetric interaction kernels*(with D. Ko, S.-Y. Ha and S. Jin). Studies in Applied Mathematics 146(4) (2021), 983-1022.
Emergence of stochastic flocking for the discrete Cucker–Smale model with randomly switching topologies (with J.-G. Dong, S.-Y. Ha and J. Jung*). Communications in Mathematical Sciences 19(1) (2021), 205-228.
On the positivity of an auxiliary function of the BGK model for slow chemical reactions (with M.-S. Lee and S.-B. Yun*). Applied Mathematics Letters 113 (2021), 106841.
Emergence of mono-cluster flocking in the thermomechanical Cucker–Smale model under switching topologies (with J.-G. Dong* and S.-Y. Ha). Analysis and Applications 19(2) (2021), 305-342.
Convergence and error estimates for time-discrete consensus-based optimization algorithms* (with S.-Y. Ha and S. Jin). Numerische Mathematik 147 (2021), 255–282.
Collective aggregation of linearly coupled stochastic Cucker-Smale ensemble on asymmetric networks*(with H.-O. Bae, S.-Y. Ha, Y. Kim, H. Lim and J. Yoo). Mathematical Methods in the Applied Sciences 44(2) (2021), 1542-1569.
Emergent flocking dynamics of the discrete thermodynamic Cucker-Smale model (with S.-Y. Ha and Z. Li*). Quarterly of Applied Mathematics 78(4) (2020), 589-615.
Convergence of a first-order consensus-based global optimization algorithm* (with S.-Y. Ha and S. Jin). Mathematical Models and Methods in Applied Sciences 30(12) (2020), 2417-2444.
Slow flocking dynamics of the Cucker-Smale ensemble with a chemotactic movement in a temperature field* (with S.-Y. Ha and W. Zou). Kinetic and Related Models 13(4) (2020), 759-793.
On the Cucker-Smale ensemble with q-closest neighbors under time-delayed communications* (with J.-G. Dong and S.-Y. Ha). Kinetic and Related Models 13(4) (2020), 653-676.
On the stochastic flocking of the Cucker-Smale flock with randomly switching topologies* (with J.-G. Dong, S.-Y. Ha and J. Jung). SIAM Journal on Control and Optimization 58(4) (2020), 2332-2353.
On the Cucker--Smale ensemble with the q-closest neighbors in a self-consistent temperature field (with J.-G. Dong* and S.-Y. Ha). SIAM Journal on Control and Optimization 58(1) (2020), 368-392.
Emergent dynamics of the Lohe matrix ensemble on a network under time-delayed interactions (with S.-Y. Ha, D. Kim, H. Park and W. Shim*). Journal of Mathematical Physics 61(1) (2020), 012702.
Emergent behaviors of the Kuramoto model with a time-delay on a general digraph* (with J.-G. Dong and S.-Y. Ha). SIAM Journal on Applied Dynamical Systems 19(1) (2020), 304-328.
Emergent dynamics of the first-order stochastic Cucker-Smale model and application to finance (with H.-O. Bae, S.-Y. Ha, Y. Kim, H. Lim* and J. Yoo). Mathematical Methods in the Applied Sciences 42(18) (2019), 6029-6048.
A nonlinear functional approach for mono-cluster flocking to the discrete Cucker-Smale model (with J.-G. Dong* and S.-Y. Ha).
Communications in Mathematical Sciences 17(8) (2019), 2239–2256.
Interplay of time-delay and velocity alignment in the Cucker-Smale model on a general digraph (with J.-G. Dong* and S.-Y. Ha). Discrete and Continuous Dynamical Systems Series B. 24(10) (2019), 5569-5596.
Flocking dynamics of the inertial spin model with a multiplicative communication weight (with S.-Y. Ha, D. Kim and W. Shim*). Journal of Nonlinear Science 29 (2019), 1301-1342.
From discrete Cucker-Smale model to continuous Cucker-Smale model in a temperature field* (with J.-G. Dong and S.-Y. Ha). Journal of Mathematical Physics 60(7) (2019), 072705.
Emergent behaviors of continuous and discrete thermomechanical Cucker-Smale models on general digraphs* (with J.-G. Dong and S.-Y. Ha). Mathematical Models and Methods in Applied Sciences 29(04) (2019), 589-632.
Time-delay effect on the flocking in an ensemble of thermomechanical Cucker-Smale particles* (with J.-G. Dong, S.-Y. Ha, and J. Kim). Journal of Differential Equations 266(5) (2019), 2373-2407.
Robustness and asymptotic stability for the Winfree model on a general network under the effect of time-delay* (with S.-Y. Ha). Journal of Mathematical Physics 59(11) (2018), 112702.
Remarks on the stability properties of the Kuramoto-Sakaguchi-Fokker-Planck equation with frustration* (with S.-Y. Ha, J. Lee, and Y. Zhang). Zeitschrift für angewandte Mathematik und Physik 69 (2018), 94.