Renming Song

5.8k total citations
152 papers, 3.0k citations indexed

About

Renming Song is a scholar working on Mathematical Physics, Finance and Applied Mathematics. According to data from OpenAlex, Renming Song has authored 152 papers receiving a total of 3.0k indexed citations (citations by other indexed papers that have themselves been cited), including 92 papers in Mathematical Physics, 70 papers in Finance and 61 papers in Applied Mathematics. Recurrent topics in Renming Song's work include Stochastic processes and financial applications (69 papers), Stochastic processes and statistical mechanics (55 papers) and Advanced Mathematical Modeling in Engineering (50 papers). Renming Song is often cited by papers focused on Stochastic processes and financial applications (69 papers), Stochastic processes and statistical mechanics (55 papers) and Advanced Mathematical Modeling in Engineering (50 papers). Renming Song collaborates with scholars based in United States, China and South Korea. Renming Song's co-authors include Zoran Vondraček, Panki Kim, Zhen-Qing Chen, René L. Schilling, Jang-Mei Wu, Jinqiao Duan, Krzysztof Bogdan, Michał Ryznar, Xiaofei Li and Ting Gao and has published in prestigious journals such as Lecture notes in mathematics, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.

In The Last Decade

Renming Song

140 papers receiving 2.8k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Renming Song United States 30 1.6k 1.5k 1.0k 991 293 152 3.0k
Zhen-Qing Chen United States 24 1.5k 0.9× 1.4k 0.9× 900 0.9× 904 0.9× 252 0.9× 135 2.5k
Richard F. Bass United States 31 1.9k 1.2× 1.5k 1.0× 1.1k 1.1× 1.1k 1.1× 137 0.5× 135 3.5k
David Nualart United States 26 1.4k 0.9× 657 0.4× 2.9k 2.8× 506 0.5× 302 1.0× 120 3.6k
Tusheng Zhang United Kingdom 26 824 0.5× 798 0.5× 2.2k 2.1× 743 0.7× 451 1.5× 128 3.1k
Yaozhong Hu United States 30 908 0.6× 545 0.4× 3.0k 2.9× 296 0.3× 640 2.2× 157 3.9k
Zoran Vondraček Croatia 19 624 0.4× 745 0.5× 511 0.5× 363 0.4× 177 0.6× 58 1.5k
E. B. Dynkin United States 27 1.6k 1.0× 636 0.4× 966 0.9× 636 0.6× 78 0.3× 103 3.1k
Ken‐iti Sato Japan 19 1.3k 0.8× 578 0.4× 2.2k 2.1× 269 0.3× 193 0.7× 71 3.4k
Masatoshi Fukushima Japan 21 1.8k 1.1× 1.2k 0.8× 625 0.6× 910 0.9× 57 0.2× 75 2.6k
Hiroshi Kunita Japan 22 709 0.4× 478 0.3× 1.1k 1.1× 364 0.4× 161 0.5× 49 2.2k

Countries citing papers authored by Renming Song

Since Specialization
Citations

This map shows the geographic impact of Renming Song's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Renming Song with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Renming Song more than expected).

Fields of papers citing papers by Renming Song

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Renming Song. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Renming Song. The network helps show where Renming Song may publish in the future.

Co-authorship network of co-authors of Renming Song

This figure shows the co-authorship network connecting the top 25 collaborators of Renming Song. A scholar is included among the top collaborators of Renming Song based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Renming Song. Renming Song is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Kim, Panki, Renming Song, & Zoran Vondraček. (2025). Potential theory of Dirichlet forms with jump kernels blowing up at the boundary. Journal of Functional Analysis. 289(4). 110934–110934.
2.
Song, Renming, et al.. (2024). 1-stable fluctuation of the derivative martingale of branching random walk. Stochastic Processes and their Applications. 172. 104338–104338.
3.
Song, Renming, et al.. (2024). Three Favorite Edges Occurs Infinitely Often for One-Dimensional Simple Random Walk. Communications in Mathematics and Statistics. 1 indexed citations
4.
Song, Renming, et al.. (2023). Invariance principle for the maximal position process of branching Brownian motion in random environment. Electronic Journal of Probability. 28(none).
5.
Kim, Panki, Renming Song, & Zoran Vondraček. (2023). Harnack inequality and interior regularity for Markov processes with degenerate jump kernels. Journal of Differential Equations. 357. 138–180. 1 indexed citations
6.
Song, Renming, et al.. (2020). Limit theorems for a class of critical superprocesses with stable branching. Stochastic Processes and their Applications. 130(7). 4358–4391. 4 indexed citations
7.
Chen, Peng, Renming Song, Longjie Xie, & Yingchao Xie. (2019). HEAT KERNEL ESTIMATES FOR DIRICHLET FRACTIONAL LAPLACIAN WITH GRADIENT PERTURBATION. Journal of the Korean Mathematical Society. 56(1). 91–111. 3 indexed citations
8.
Huang, Qiao, Jinqiao Duan, & Renming Song. (2018). Homogenization of Periodic Linear Nonlocal Partial Differential Equations. arXiv (Cornell University). 1 indexed citations
9.
Chen, Zhen-Qing, Panki Kim, & Renming Song. (2014). Stability of Dirichlet heat kernel estimates for non-local operators under Feynman-Kac perturbation. Transactions of the American Mathematical Society. 367(7). 5237–5270. 16 indexed citations
10.
Kim, Panki & Renming Song. (2014). Stable process with singular drift. Stochastic Processes and their Applications. 124(7). 2479–2516. 20 indexed citations
11.
Duan, Jinqiao, et al.. (2014). Asymmetric non-Gaussian effects in a tumor growth model with immunization. Applied Mathematical Modelling. 38(17-18). 4428–4444. 17 indexed citations
12.
Feng, Liming, et al.. (2011). On the Monitoring Error of the Supremum of a Normal Jump Diffusion Process. Journal of Applied Probability. 48(4). 1021–1034. 3 indexed citations
13.
Song, Renming, et al.. (2009). L Log L Criterion for a Class of Superdiffusions. Journal of Applied Probability. 46(2). 479–496. 18 indexed citations
14.
Kim, Panki, et al.. (2009). Heat Kernel Estimates for Dirichlet Fractional Laplacian. 215–219. 46 indexed citations
15.
Kim, Panki & Renming Song. (2006). Estimates on Green functions and Schrödinger-type equations for non-symmetric diffusions with measure-valued drifts. Journal of Mathematical Analysis and Applications. 332(1). 57–80. 12 indexed citations
16.
Chen, Zhen-Qing & Renming Song. (2005). Two-sided eigenvalue estimates for subordinate processes in domains. Journal of Functional Analysis. 226(1). 90–113. 77 indexed citations
17.
Chen, Zhen-Qing & Renming Song. (2000). Intrinsic ultracontractivity, conditional lifetimes and conditional gauge for symmetric stable processes on rough domains. Illinois Journal of Mathematics. 44(1). 31 indexed citations
18.
Šikić, Hrvoje, et al.. (1994). Application of Carleson's Theorem to wavelet inversion. Control and Cybernetics. 23(4). 761–771. 10 indexed citations
19.
Ma, Zhi-Ming & Renming Song. (1992). Probabilistic approach to semilinear and generalized mixed boundary value problems. Acta Mathematicae Applicatae Sinica English Series. 8(3). 214–228. 1 indexed citations
20.
Ma, Zhi-Ming & Renming Song. (1988). Probabilistic approach to the Neumann problem with infinite gauge. Acta Mathematicae Applicatae Sinica English Series. 4(1). 30–40. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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