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

Baryshnikov, Y., & Pemantle, R. (2026). Universality for Taylor coefficients of rational functions under perturbations. Proceedings of the National Academy of Sciences of the United States of America, 123(1), Article e2525032122. https://doi.org/10.1073/pnas.2525032122

Xu, L., Baryshnikov, Y., & Sung, C. (2026). Reparametrization of 3D CSC Dubins Paths Enabling 2D Search. In N. M. Amato, K. Driggs-Campbell, M. Morales, C. Ekenna, & J. M. O’Kane (Eds.), Algorithmic Foundations of Robotics 16, Volume 1 - Proceedings of the 16th Workshop on the Algorithmic Foundations of Robotics (pp. 417-435). (Springer Proceedings in Advanced Robotics; Vol. 37 SPAR). Springer. https://doi.org/10.1007/978-3-032-09967-9_21

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

Baryshnikov, Y., & Stolyar, A. (2025). A large-scale particle system with independent jumps and distributed synchronization. Advances in Applied Probability, 57(2), 677-707. https://doi.org/10.1017/apr.2024.53

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

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