World's Best Scientists 2026 revealed!
Guillaume Carlier

Guillaume Carlier

D-Index & Metrics

Mathematics

D-Index
38
Citations
5947
World Ranking
2349
National Ranking
142

Guillaume Carlier 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 Guillaume Carlier 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: 149 publications — 38th percentile

38% of scientists in this discipline score the same or lower.

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

Guillaume Carlier 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 Guillaume Carlier 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: 38 D-Index — 37th percentile

37% of scientists in this discipline score the same or lower.

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

Overview

Guillaume Carlier is affiliated with Paris Dauphine University in France, focusing on mathematical research primarily within the field of mathematics. Their work spans several subfields, including applied mathematics, statistics and probability, sociology and political science, computational theory and mathematics, and mathematical physics.

The research topics that Carlier has contributed to involve geometric analysis and curvature flows, nonlinear partial differential equations, point processes and geometric inequalities, Markov chains and Monte Carlo methods, migration and labor dynamics, advanced neuroimaging techniques and applications, and urban, neighborhood, and segregation studies.

Recent published papers illustrate a focus on optimization and mathematical analysis, including:

  • "On the Linear Convergence of the Multimarginal Sinkhorn Algorithm," 2022, SIAM Journal on Optimization
  • "Convergence rate of general entropic optimal transport costs," 2023, Calculus of Variations and Partial Differential Equations
  • "A Differential Approach to the Multi-Marginal Schrödinger System," 2020, SIAM Journal on Mathematical Analysis
  • "SISTA: Learning Optimal Transport Costs under Sparsity Constraints," 2022, Communications on Pure and Applied Mathematics
  • "Displacement smoothness of entropic optimal transport," 2024, ESAIM Control Optimisation and Calculus of Variations

Carlier has also contributed to book publications, including the work titled "Classical and Modern Optimization," published in 2021 by Advanced textbooks in mathematics.

Frequent coauthors in Carlier's research include Alex Delalande, Katharina Eichinger, Quentin Mérigot, Maxime Laborde, and Alfred Galichon.

The scientist has published regularly in venues such as:

  • arXiv (Cornell University)
  • SIAM Journal on Mathematical Analysis
  • SIAM Journal on Optimization
  • Applied Mathematics & Optimization
  • Calculus of Variations and Partial Differential Equations

Best Publications

  • Barycenters in the Wasserstein Space

    Martial Agueh;Guillaume Carlier

  • Iterative Bregman Projections for Regularized Transportation Problems

    Jean-David Benamou;Guillaume Carlier;Marco Cuturi;Luca Nenna

  • Matching for Teams

    Guillaume Carlier;Ivar Ekeland

  • Augmented Lagrangian Methods for Transport Optimization, Mean Field Games and Degenerate Elliptic Equations

    Jean-David Benamou;Guillaume Carlier

  • Convergence of Entropic Schemes for Optimal Transport and Gradient Flows

    Guillaume Carlier;Vincent Duval;Gabriel Peyré;Bernhard Schmitzer

  • Deep relaxation: partial differential equations for optimizing deep neural networks

    Pratik Chaudhari;Adam M. Oberman;Stanley J. Osher;Stefano Soatto

  • Core of convex distortions of a probability

    Guillaume Carlier;Rose-Anne Dana

  • Variational Mean Field Games

    Jean-David Benamou;Guillaume Carlier;Filippo Santambrogio

  • Optimal Transportation with Traffic Congestion and Wardrop Equilibria

    G. Carlier;C. Jimenez;F. Santambrogio

  • Optimal Demand for Contingent Claims when Agents have law Invariant Utilities

    Guillaume Carlier;Rose-Anne Dana

  • A general existence result for the principal-agent problem with adverse selection

    Guillaume Carlier

  • NUMERICAL METHODS FOR MATCHING FOR TEAMS AND WASSERSTEIN BARYCENTERS

    Guillaume Carlier;Adam Oberman;Edouard Oudet

  • On a Class of Multidimensional Optimal Transportation Problems

    G. Carlier

  • Pareto efficiency for the concave order and multivariate comonotonicity

    Guillaume Carlier;Rose-Anna Dana;Alfred Galichon

  • RETRACTED: Congested traffic dynamics, weak flows and very degenerate elliptic equations

    Lorenzo Brasco;Lorenzo Brasco;Guillaume Carlier;Guillaume Carlier;Filippo Santambrogio

  • Duality and existence for a class of mass transportation problems and economic applications

    Guillaume Carlier

  • From Knothe's transport to Brenier's map and a continuation method for optimal transport

    Guillaume Carlier;Alfred Galichon;Filippo Santambrogio

  • An augmented Lagrangian approach to Wasserstein gradient flows and applications

    Jean-David Benamou;Guillaume Carlier;Maxime Laborde

  • Vector quantile regression: An optimal transport approach

    Guillaume Carlier;Victor Chernozhukov;Alfred Galichon

  • Rearrangement inequalities in non-convex insurance models

    Guillaume Carlier;Rose-Anne Dana

Frequent Co-Authors

Filippo Santambrogio
Filippo Santambrogio Claude Bernard University Lyon 1
Ivar Ekeland
Ivar Ekeland University of British Columbia
Gabriel Peyré
Gabriel Peyré École Normale Supérieure
Giuseppe Buttazzo
Giuseppe Buttazzo University of Pisa
Stanley Osher
Stanley Osher University of California, Los Angeles
Nizar Touzi
Nizar Touzi École Polytechnique
Stefano Soatto
Stefano Soatto University of California, Los Angeles
Marco Cuturi
Marco Cuturi École Nationale de la Statistique et de l'Administration Économique
Pierre Cardaliaguet
Pierre Cardaliaguet Paris Dauphine University
Emmanuel Trélat
Emmanuel Trélat Sorbonne University

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