Preprints

1. Seung-Yeal Ha, Seungjun Lee, Xinyu Wang*. Formation behavior of kinetic relativistic Cucker-Smale models with non-compact support. Preprint.

2. Seung-Yeal Ha, Xinyu Wang, Wook Yoon, Uniform stability of the Cucker-Smale model with noncompact spatial support, Preprint.

3. Li Chen, Seung-Yeal Ha, Xinyu Wang*, Valeriia Zhidkova. Nonlocal Kuramoto-type equations with hypersingular kernels. Preprint.

4. Jose Antonio Carrillo, Xinyu Wang, Xiaoping Xue, Fanqin Zeng. Emergent behavior of the Cucker-Smale model with truncated noise and its mean field limit. Preprint.

5. Peng Shi, Xinyu Wang, Xiaoping Xue. Energy methods for stochastic discrete-time tracking with unbounded disturbances. Preprint.

6. Li Chen, Seung-Yeal Ha, Xinyu Wang, Valeriia Zhidkova. Emergent behaviors of a singular continuum Winfree model. In preparation.

7. Seung-Yeal Ha, Chaejoo Lee, Xinyu Wang. Spectral analysis and clustering of the unsymmetric infinite Viseck-type model. In preparation.

8. Seung-Yeal Ha, Xinyu Wang, Emergent dynamics of unbounded spatial-velocity relativistic kinetic Cucker-Smale Fokker-Planck model. In preparation.

9. Seung-Yeal Ha,  Tommaso Ruggeri, Xinyu Wang. Cucker-Smale model with nonnegative graphs. In preparation.

10. Seung-Yeal Ha, Xinyu Wang, Classical limit of  spatially extened relativistic kinetic Cucker-Smale model. In preparation.

11. Seung-Yeal Ha, Seungjun Lee, Xinyu Wang. Spectral analysis of the infinite Kuramoto model. In preparation.

12. Seung-Yeal Ha, Xinyu Wang, Wook Yoon. Weak flocking behavior of the kinetic Motsch-Tadmor model with non-compact support. In preparation. 

13. Junhyeok Byeon, Seung-Yeal Ha, Xinyu Wang. Rigorous derivation from the Kuramoto-Sakaguchi model to the Kuramoto-Sivashinsky model. In preparation.

Submitted papers

1. Seung-Yeal Ha, Xinyu Wang*. On the weak flocking behavior of kinetic Cucker–Smale models in a fully non-compact support. Submitted. 10.48550/arXiv.2507.07493

2. Seung-Yeal Ha, Xinyu Wang*, Wook Yoon. Spectral characterization of clustering dynamics for the Motsch-Tadmor model. Submitted.

3. Seung-Yeal Ha, Xinyu Wang*. On the weak flocking of the spatially extended generalized kinetic Justh-Krishnaprasad equation. Submitted.

4. Li Chen, Seung-Yeal Ha, Xinyu Wang, Valeriia Zhidkova. Emergent dynamics of singular continuum Kuramoto model and its graph limit. Submitted. https://doi.org/10.48550/arXiv.2512.06399

5. Seung-Yeal Ha, Chaejoo Lee, Xinyu Wang*. On the local spectral rigidity of sync manifold for the Justh-Krishnaprasad models. Submitted.

6. Seung-Yeal Ha, Xinyu Wang, Fanqin Zeng. Finite-time flocking of an infinite Cucker-Smale type particle model with sublinear velocity couplings. Submitted.

7. Peng Shi, Xinyu Wang, Xiaoping Xue. Energy-based approach for the discrete tracking problem of moving target groups. Submitted.

8. Jose Antonio Carrillo, Xinyu Wang*. Fokker-Planck equation on discrete infinite graphs. Submitted.

9. Qifan Mao, Xinyu Wang, Xiaoping Xue. Graphon-based analysis of flocking and velocity limits in the time-varying Cucker-Smale model. Submitted.

10. Qifan Mao, Xinyu Wang, Xiaoping Xue. Wasserstein geometry of nonnegative measures on finite Markov chains I: Gradient flow. Submitted.

11. Qifan Mao, Xinyu Wang, Xiaoping Xue. Wasserstein geometry of nonnegative measures on finite Markov chains II: Geodesic and duality formulae. Submitted.

Published papers

1. Xinyu Wang, Xiaoping Xue. The flocking behavior of the infinite-particle Cucker-Smale model. Proceedings of the American Mathematical Society, 2022, 150: 2165–2179.

2. Xinyu Wang, Xiaoping Xue. Formation behavior of the kinetic Cucker-Smale model with non-compact support. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2023, 153: 1315-1346.

3. Xinyu Wang, Xiaoping Xue. Pattern formation of the Cucker-Smale type kinetic models based on gradient flow. ESAIM: Mathematical Modelling and Numerical Analysis, 2023, 57: 3165–3200.

4. Xinyu Wang, Xiaoping Xue. Flocking behavior of the Cucker-Smale model on infinite graphs with a central vertex group. Journal of Statistical Physics, 2024, 191: 47.

5. Xinyu Wang, Xiaoping Xue. The collective behavior of the Cucker-Smale model on infinite graphs. Sci SinMath. (in Chinese), 2023, 53: 1799–1826.

6. Seung-Yeal Ha, Xinyu Wang, Xiaoping Xue. Emergent behaviors of the Motsch-Tadmor model on infinite graphs. Communications on Pure and Applied Analysis, 2025, 24: 728-748.

7. Seung-Yeal Ha, Xinyu Wang, Xiaoping Xue. On the exponential weak flocking for the kinetic Cucker-Smale model with non-compact support. Mathematical Models and Methods in Applied Sciences, 2025, 781-824.

8. Seung-Yeal Ha, Seungjun Lee, Xinyu Wang*. Emergent dynamics of the time-discrete infinite Cucker-Smale model. Journal of Mathematics Physics, 2025, 66, 072701.

9. Seung-Yeal Ha, Seungjun Lee, Tommaso Ruggeri, Xinyu Wang*, Qinghua Xiao. Flocking dynamics and optimal classical limit of the  Relativistic Cucker-Smale model with infinite particles. Journal of Mathematics Physics. 2025, 66, 093302.

10. Seung-Yeal Ha, Xinyu Wang*. Emergent dynamics of spatially extended relativistic kinetic Cucker-Smale model. Mathematische Annalen. 2025, 393:2265–2305.

11. Yuhan Xue, Chong Wu, Xinyu Wang, ZhuchunLi. Interaction and self-trust based decision-making via the voting Kuramoto model. European Journal of Operational Research, https://doi.org/10.1016/j.ejor.2025.12.040.

12. Seung-Yeal Ha, Xinyu Wang*, Xiaoping Xue. Clustering and spectral analysis of the infinite Cucker-Smale model. Accepted by Acta Mathematica Sinica.

13.  Xinyu Wang*. A nonlinear functional approach for emergent behavior of discrete infinite Motsch-Tadmor model. Nonlinearity. 39 025010 (2026).