Profile picture for Yuliy Baryshnikov

Contact Information

Department of Mathematics
805 Pennsylvania Avenue
Urbana, IL 61801
Professor

Research Interests

Applied topology, stochastic models, dynamical systems, analytic combinatorics.

Additional Campus Affiliations

Fredric G. and Elizabeth H. Nearing Professor, Electrical and Computer Engineering
Professor, Electrical and Computer Engineering
Professor, Mathematics
Professor, Coordinated Science Lab
Professor, Beckman Institute for Advanced Science and Technology

Recent Publications

Assif, M. P. K., & Baryshnikov, Y. (2025). Topological State Space Inference for Dynamical Systems. Proceedings of Machine Learning Research, 283, 1206-1216.

Baryshnikov, Y., Melczer, S., & Pemantle, R. (2025). Asymptotics of multivariate sequences in the presence of a lacuna. Annales de l'Institut Henri Poincare (D) Combinatorics, Physics and their Interactions, 12(1), 143-187. https://doi.org/10.4171/aihpd/182

Abraham, I., Shahsavarani, S., Zimmerman, B., Husain, F. T., & Baryshnikov, Y. (2024). Hemodynamic cortical ripples through cyclicity analysis. Network Neuroscience, 8(4), 1105-1128. https://doi.org/10.1162/netn_a_00392

Baryshnikov, Y., & Stolyar, A. (2024). A large-scale particle system with independent jumps and distributed synchronization. Advances in Applied Probability, 57(2), 677-707. Advance online publication. https://doi.org/10.1017/apr.2024.53

Baryshnikov, Y., Melczer, S., & Pemantle, R. (2024). Asymptotics of Multivariate Sequences IV: Generating Functions with Poles on a Hyperplane Arrangement. Annals of Combinatorics, 28(1), 169-221. https://doi.org/10.1007/s00026-023-00654-2

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