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Guillaume Carlier

Guillaume Carlier

Paris Dauphine University
France

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 38 2349 2082 142 134 149 5947

Guillaume Carlier publications per year

The chart shows the history of publications by Guillaume Carlier between 1997 and 2024, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Guillaume Carlier published across 28 years, from 1997 to 2024, averaging 5.8 papers a year. Output peaked at 13 publications in 2017. 6 of the 161 publications appeared in the last two years.

No. of publications
5 10
Bar chart. Horizontal axis: year, 1997 to 2024. Vertical axis: number of publications, 0 to 13. Peak 13 publications in 2017. 1997: 1 publication 1998: 0 publications 1999: 0 publications 2000: 2 publications 2001: 8 publications 2002: 6 publications 2003: 10 publications 2004: 1 publication 2005: 5 publications 2006: 3 publications 2007: 6 publications 2008: 11 publications 2009: 4 publications 2010: 12 publications 2011: 5 publications 2012: 6 publications 2013: 4 publications 2014: 8 publications 2015: 8 publications 2016: 9 publications 2017: 13 publications 2018: 7 publications 2019: 6 publications 2020: 4 publications 2021: 8 publications 2022: 8 publications 2023: 2 publications 2024: 4 publications
1997 2024

161 publications in total across all disciplines

View publications per year as a table
Guillaume Carlier: publications per year, 1997 to 2024
Year Publications
1997 1
1998 0
1999 0
2000 2
2001 8
2002 6
2003 10
2004 1
2005 5
2006 3
2007 6
2008 11
2009 4
2010 12
2011 5
2012 6
2013 4
2014 8
2015 8
2016 9
2017 13
2018 7
2019 6
2020 4
2021 8
2022 8
2023 2
2024 4
Total 161
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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.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 147–151 publications, is where this scientist sits. 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 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.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102 149
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
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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.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 38 D-Index, is where this scientist sits. 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.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150 38
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

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

External Links

Wikipedia of Guillaume Carlier Personal website of Guillaume Carlier

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Publications: 45

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Marco Cuturi

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Publications: 37

Robert J. McCann

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Publications: 20

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Publications: 20

Xun Yu Zhou

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Publications: 20

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Justin Solomon

MIT

Publications: 20

Tryphon T. Georgiou

Tryphon T. Georgiou

University of California, Irvine

Publications: 19

Pierre Cardaliaguet

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Paris Dauphine University

Publications: 15

Hongyuan Zha

Hongyuan Zha

Chinese University of Hong Kong, Shenzhen

Publications: 14

Giuseppe Buttazzo

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Publications: 14

Pierre Degond

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Toulouse Mathematics Institute

Publications: 13

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Publications: 13

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