Contact Information
1409 W. Green Street
Urbana, IL 61801
Research Areas
Research Description
Markov processes, potential theory, stochastic analysis and branching processes
Additional Campus Affiliations
Professor, Mathematics
External Links
Recent Publications
Huang, Q., Duan, J., & Song, R. (2024). Homogenization of non-symmetric jump processes. Advances in Applied Probability, 56(1), 1-33. https://doi.org/10.1017/apr.2023.8
Kim, P., Song, R., & Vondraček, Z. (2024). Potential theory of Dirichlet forms degenerate at the boundary: the case of no killing potential. Mathematische Annalen, 388(1), 511-542. https://doi.org/10.1007/s00208-022-02544-z
Zhou, Q. Q., Zhao, H., Hu, Z. C., & Song, R. (2024). Some new results on Gaussian product inequalities. Journal of Mathematical Analysis and Applications, 531(2), Article 127907. https://doi.org/10.1016/j.jmaa.2023.127907
Hou, H., Ren, Y. X., & Song, R. (2023). Invariance principle for the maximal position process of branching Brownian motion in random environment. Electronic Journal of Probability, 28, Article 65. https://doi.org/10.1214/23-ejp956
Kim, P., Song, R., & Vondraček, Z. (2023). Harnack inequality and interior regularity for Markov processes with degenerate jump kernels. Journal of Differential Equations, 357, 138-180. https://doi.org/10.1016/j.jde.2023.02.007