World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
47
Citations
7326
World Ranking
1291
National Ranking
574

Renming Song publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Renming Song sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 82 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 265 publications — 80th percentile

80% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Renming Song D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Renming Song sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 137 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 47 D-Index — 66th percentile

66% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Renming Song is affiliated with the University of Illinois at Urbana-Champaign in the United States. Their research is primarily situated within the field of Mathematics, with significant focus on Mathematical Physics, Applied Mathematics, Finance, Computational Theory and Mathematics, and Statistics and Probability.

The scientist's work encompasses several main topics, including:

  • Stochastic processes and statistical mechanics
  • Stochastic processes and financial applications
  • Advanced Mathematical Modeling in Engineering
  • Nonlinear Partial Differential Equations
  • Markov Chains and Monte Carlo Methods
  • Advanced Harmonic Analysis Research
  • Mathematical Dynamics and Fractals

Renming Song has contributed numerous papers, including recent publications such as:

  • "Factorization and estimates of Dirichlet heat kernels for non-local operators with critical killings" (2020), Journal de Mathématiques Pures et Appliquées
  • "The extremal process of super-Brownian motion" (2021), Stochastic Processes and their Applications
  • "Sharp space-time regularity of the solution to stochastic heat equation driven by fractional-colored noise" (2020), Stochastic Analysis and Applications
  • "Homogenization of nonlocal partial differential equations related to stochastic differential equations with Lévy noise" (2022), Bernoulli
  • "Gradient estimates for the fundamental solution of Lévy type operator" (2020), Advances in Nonlinear Analysis

The scientist has published extensively in a range of venues, with frequent contributions to:

  • arXiv (Cornell University)
  • Stochastic Processes and their Applications
  • Electronic Journal of Probability
  • Journal of Differential Equations
  • Advances in Applied Probability

Collaboration is a notable aspect of their scholarly activity, with frequent co-authors including:

  • Yan-Xia Ren
  • Haojie Hou
  • Panki Kim
  • Zoran Vondraček
  • Soobin Cho

Best Publications

  • Bernstein Functions: Theory and Applications

    René L. Schilling;Renming Song;Zoran Vondracek

  • Integral Inequalities for Convex Functions of Operators on Martingales

    Burgess Davis;Renming Song

  • Potential Analysis of Stable Processes and its Extensions

    Krzysztof Bogdan;Tomasz Byczkowski;Tadeusz Kulczycki;Michal Ryznar

  • Estimates on Green functions and Poisson kernels for symmetric stable processes

    Zhen Qing Chen;Renming Song

  • Heat kernel estimates for the Dirichlet fractional Laplacian

    Zhen Qing Chen;Panki Kim;Renming Song

  • Heat Kernel Estimates for Dirichlet Fractional Laplacian

    Panki Kim;Zhen-Qing;Renming Song

  • Two-sided eigenvalue estimates for subordinate processes in domains

    Zhen Qing Chen;Renming Song

  • Potential theory of subordinate killed Brownian motion in a domain

    Renming Song;Zoran Vondraček

  • A Geometric Condition that Implies the Existence of Certain Singular Integrals of Banach-Space-Valued Functions

    Burgess Davis;Renming Song

  • Harnack inequality for some classes of Markov processes

    Renming Song;Zoran Vondraček

  • Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation

    Zhen Qing Chen;Panki Kim;Renming Song

  • Intrinsic ultracontractivity and conditional gauge for symmetric stable processes

    Zhen Qing Chen;Renming Song

  • Mean exit time and escape probability for dynamical systems driven by Lévy Noises

    Ting Gao;Jinqiao Duan;Jinqiao Duan;Xiaofan Li;Renming Song

  • Boundary Harnack principle for $\Delta + \Delta^{; ; ; ; ; lpha/2}; ; ; ; ; $

    Zhen Qing Chen;Panki Kim;Renming Song;Zoran Vondraček

  • Boundary Harnack Principle for Symmetric Stable Processes

    Renming Song;Jang Mei Wu

  • Potential theory of subordinate Brownian motions revisited

    Panki Kim;Renming Song;Zoran Vondracek

  • Drift transforms and Green function estimates for discontinuous processes

    Zhen Qing Chen;Renming Song

  • Two-sided heat kernel estimates for censored stable-like processes

    Zhen Qing Chen;Panki Kim;Renming Song

  • Conditional gauge theorem for non-local Feynman-Kac transforms

    Zhen Qing Chen;Renming Song

  • Sharp heat kernel estimates for relativistic stable processes in open sets

    Zhen Qing Chen;Panki Kim;Renming Song

  • A Geometrical Characterization of Banach Spaces in Which Martingale Difference Sequences are Unconditional

    Burgess Davis;Renming Song

Frequent Co-Authors

Panki Kim
Panki Kim Seoul National University
Zhen-Qing Chen
Zhen-Qing Chen University of Washington
Jinqiao Duan
Jinqiao Duan Great Bay University
Yimin Xiao
Yimin Xiao Michigan State University
Xicheng Zhang
Xicheng Zhang Wuhan University
Andreas E. Kyprianou
Andreas E. Kyprianou University of Warwick

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