Contact Information
338 Illini Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Research Areas
Research Description
Markov processes, potential theory, stochastic analysis and branching processes
Education
Ph.D. Florida, 1993
Additional Campus Affiliations
Professor, Statistics
External Links
Recent Publications
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
Ren, Y-X., Song, R., & Yang, F. (2023). Branching Brownian motion in a periodic environment and uniqueness of pulsating traveling waves. Advances in Applied Probability, 55(2), 510-548. https://doi.org/10.1017/apr.2022.32
Song, R., & Xie, L. (2023). Weak and strong well-posedness of critical and supercritical SDEs with singular coefficients. Journal of Differential Equations, 362, 266-313. https://doi.org/10.1016/j.jde.2023.03.007
Cho, S., Kim, P., Song, R., & Vondraček, Z. (2022). Heat kernel estimates for subordinate Markov processes and their applications. Journal of Differential Equations, 316, 28-93. https://doi.org/10.1016/j.jde.2022.01.044