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
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
Huang, Q., Duan, J., & Song, R. (Accepted/In press). Homogenization of non-symmetric jump processes. Advances in Applied Probability. https://doi.org/10.1017/apr.2023.8
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
Kim, P., Song, R., & Vondraček, Z. (2023). Positive self-similar Markov processes obtained by resurrection. Stochastic Processes and their Applications, 156, 379-420. https://doi.org/10.1016/j.spa.2022.11.014
Liu, R., Ren, Y. X., Song, R., & Sun, Z. (2023). Subcritical superprocesses conditioned on non-extinction. Stochastic Processes and their Applications, 163, 498-534. https://doi.org/10.1016/j.spa.2023.06.008