World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
57
Citations
14027
World Ranking
685
National Ranking
347

René Carmona 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 René Carmona 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: 83 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: 190 publications — 58th percentile

58% of scientists in this discipline score the same or lower.

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

René Carmona 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 René Carmona 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: 138 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: 57 D-Index — 82nd percentile

82% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 2021 - Fellow of the American Mathematical Society For contributions to probability theory and its applications to mathematical physics, image processing and financial mathematics.
  • 2009 - SIAM Fellow For contributions to signals, statistics, and mathematical finance.

Overview

René Carmona is affiliated with Princeton University in the United States. Their research primarily focuses on the intersection of economics, econometrics, finance, and applied mathematics, with a particular emphasis on stochastic processes and financial applications.

The main fields of study in which Carmona has published include:

  • Economics, Econometrics and Finance

Within these broader fields, Carmona's work covers several subfields such as:

  • Economics and Econometrics
  • Finance
  • Management Science and Operations Research
  • Electrical and Electronic Engineering
  • Mathematical Physics

The topics Carmona frequently addresses in their work include:

  • Stochastic processes and financial applications
  • Economic theories and models
  • Complex Systems and Time Series Analysis
  • Climate Change Policy and Economics
  • Game Theory and Applications
  • Financial Markets and Investment Strategies
  • Mental Health Research Topics

Carmona has contributed to multiple publication venues, including a substantial number of works published at arXiv (Cornell University). Other frequent venues include:

  • The Annals of Applied Probability
  • Dynamic Games and Applications
  • Mathematics of Operations Research
  • SSRN Electronic Journal

Notable recent papers by Carmona include:

  • "Convergence analysis of machine learning algorithms for the numerical solution of mean field control and games: II-the finite horizon case" (2022) in The Annals of Applied Probability
  • "Finite-State Contract Theory with a Principal and a Field of Agents" (2020) in Management Science
  • "Convergence Analysis of Machine Learning Algorithms for the Numerical Solution of Mean Field Control and Games I: The Ergodic Case" (2021) in SIAM Journal on Numerical Analysis

Carmona has collaborated frequently with several researchers, including:

  • Mathieu Laurière
  • Gökçe Dayanıklı
  • Xinshuo Yang
  • Alexander Aurell
  • Claire Zeng

Awards recognizing Carmona's contributions include:

  • Fellow of the American Mathematical Society (2021) for contributions to probability theory and its applications to mathematical physics, image processing, and financial mathematics
  • SIAM Fellow (2009) for contributions to signals, statistics, and mathematical finance

Best Publications

  • Spectral Theory of Random Schrödinger Operators

    René Carmona;Jean Lacroix

  • Probabilistic theory of mean field games with applications

    René Carmona;François Delarue

  • Practical Time-Frequency Analysis, Volume 9: Gabor and Wavelet Transforms, with an Implementation in S

    Rene Carmona;Wen-Liang Hwang;Bruno Torresani

  • Probabilistic Analysis of Mean-Field Games

    Rene A. Carmona;François Delarue

  • Probabilistic Theory of Mean Field Games with Applications II: Mean Field Games with Common Noise and Master Equations

    René Carmona;François Delarue

  • Characterization of signals by the ridges of their wavelet transforms

    R.A. Carmona;W.L. Hwang;B. Torresani

  • Pricing and Hedging Spread Options

    Rene A. Carmona;Valdo Durrleman

  • Multiridge detection and time-frequency reconstruction

    R.A. Carmona;W.L. Hwang;B. Torresani

  • Anderson localization for Bernoulli and other singular potentials

    Rene A. Carmona;Abel Klein;Fabio Martinelli

  • Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions

    René Carmona;Wen Chen Masters;Barry Simon

  • Mean field games and systemic risk

    Rene A. Carmona;Jean Pierre Fouque;Li Hsien Sun

  • Parabolic Anderson Problem and Intermittency

    René A. Carmona;S. A. Molchanov

  • Control of McKean–Vlasov dynamics versus mean field games

    René Carmona;François Delarue;Aimé Lachapelle

  • Forward-Backward Stochastic Differential Equations and Controlled McKean Vlasov Dynamics

    René Carmona;François Delarue

  • Interest Rate Models: an Infinite Dimensional Stochastic Analysis Perspective

    René Carmona;Michael R. Tehranchi

  • OPTIMAL MULTIPLE STOPPING AND VALUATION OF SWING OPTIONS

    Rene A. Carmona;Nizar Touzi

  • Mean field games with common noise

    Rene A. Carmona;Francois Delarue;Daniel Lacker

  • A probabilistic weak formulation of mean field games and applications

    Rene A. Carmona;Daniel Lacker

  • Practical Time-Frequency Analysis

    René Carmona;Wen Liang Hwang;Bruno Torrésani

  • Valuation of energy storage: an optimal switching approach

    René Carmona;Michael Ludkovski

  • Probabilistic Theory of Mean Field Games with Applications I: Mean Field FBSDEs, Control, and Games

    René Carmona;François Delarue

Frequent Co-Authors

François Delarue
François Delarue Université Côte d'Azur
Jean-Pierre Fouque
Jean-Pierre Fouque University of California, Santa Barbara
Stanislav Molchanov
Stanislav Molchanov University of North Carolina at Charlotte
Nizar Touzi
Nizar Touzi École Polytechnique
Barry Simon
Barry Simon California Institute of Technology
David Nualart
David Nualart University of Kansas
Frederi Viens
Frederi Viens Rice University
Abel Klein
Abel Klein University of California, Irvine
Ronnie Sircar
Ronnie Sircar Princeton University
Ron D. Frostig
Ron D. Frostig University of California, Irvine

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