معرفی
Renming Song is a Professor of Mathematics at the University of Illinois at Urbana-Champaign, with additional affiliations in the Department of Statistics. He holds a Ph.D. from the University of Florida (1993) and has been at UIUC since 1997. His research focuses on stochastic analysis, Markov processes, potential theory, and financial mathematics.
- Education: B.S. (1983), M.S. (1986) from Hebei University; Ph.D. (1993) from University of Florida.
- Affiliations: Professor in Mathematics and Statistics, UIUC; former visiting positions at Northwestern University and University of Michigan.
- Teaching: Currently teaches Math 461 (Probability Theory) and Math 432 (Set Theory and Metric Spaces). Past courses include Math 241 and Math 561.
Research Interests: Song specializes in probability theory, with emphasis on Markov processes, branching processes, and their applications. Recent work includes studies on fractional Laplacians, supercritical killings, and asymptotic behaviors in branching systems. His research bridges stochastic analysis and potential theory, with contributions to non-symmetric jump processes and Dirichlet forms.
Publications: Over 150 articles, including works in Communications in Mathematical Physics, Electronic Journal of Probability, and Journal of Functional Analysis. Recent topics include heat kernel estimates, tail probabilities, and asymptotic expansions in stochastic systems.
Service: Member of NSERC’s Mathematics and Statistics Evaluation Group (2016–2019). Editorial roles at journals like Illinois Journal of Mathematics. Advisor to 11 Ph.D. students, including Hyunchul Park and Andrew Vlasic.
Labs/Teams: Engaged in collaborative research on branching processes, stochastic dynamics, and financial mathematics through UIUC’s Mathematics Department and interdisciplinary initiatives.
