World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
37
Citations
7097
World Ranking
2461
National Ranking
147

Arnaud Guillin 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 Arnaud Guillin 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: 131 publications — 27th percentile

27% of scientists in this discipline score the same or lower.

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

Arnaud Guillin 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 Arnaud Guillin 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: 37 D-Index — 33rd percentile

33% of scientists in this discipline score the same or lower.

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

Overview

Arnaud Guillin is affiliated with the University of Clermont Auvergne in France. Their research primarily spans the field of Mathematics with a particular focus on Statistics and Probability, Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics, and Artificial Intelligence.

Their work addresses several main topics including Markov Chains and Monte Carlo Methods, Stochastic processes and statistical mechanics, Stochastic processes and financial applications, Geometric Analysis and Curvature Flows, Statistical Mechanics and Entropy, Theoretical and Computational Physics, and Point processes and geometric inequalities.

Guillin's frequent publication venues reflect their multidisciplinary engagement with mathematical and physical sciences. These include:

  • arXiv (Cornell University)
  • Journal of Statistical Physics
  • The Annals of Applied Probability
  • Earth and Planetary Science Letters
  • Journal of the European Mathematical Society

Their recent papers cover a range of topics and demonstrate collaboration across multiple scientific domains. Selected recent publications include:

  • "Discharge rate of explosive volcanic eruption controls runout distance of pyroclastic density currents," 2021, Earth and Planetary Science Letters
  • "Uniform Long-Time and Propagation of Chaos Estimates for Mean Field Kinetic Particles in Non-convex Landscapes," 2021, Journal of Statistical Physics
  • "Eruption type probability and eruption source parameters at Cotopaxi and Guagua Pichincha volcanoes (Ecuador) with uncertainty quantification," 2021, Bulletin of Volcanology
  • "Tephra Fallout Probabilistic Hazard Maps for Cotopaxi and Guagua Pichincha Volcanoes (Ecuador) With Uncertainty Quantification," 2022, Journal of Geophysical Research Solid Earth
  • "Uniform Poincaré and logarithmic Sobolev inequalities for mean field particle systems," 2022, The Annals of Applied Probability

Guillin collaborates frequently with several co-authors, indicating a strong network within their research community. Key collaborators include:

  • Pierre Monmarché
  • Manon Michel
  • Boris Nectoux
  • Nourddine Azzaoui
  • Alain Durmus

Best Publications

  • On the rate of convergence in Wasserstein distance of the empirical measure

    Nicolas Fournier;Arnaud Guillin

  • Population Monte Carlo

    Olivier Cappé;Arnaud Guillin;Jean-Michel Marin;Christian P. Robert

  • Adaptive importance sampling in general mixture classes

    Olivier Cappé;Randal Douc;Arnaud Guillin;Jean-Michel Marin

  • Quantitative Concentration Inequalities for Empirical Measures on Non-compact Spaces

    François Bolley;Arnaud Guillin;Cédric Villani

  • Transportation cost-information inequalities and applications to random dynamical systems and diffusions

    H. Djellout;A. Guillin;L. Wu

  • Rate of convergence for ergodic continuous Markov processes : Lyapunov versus Poincaré

    Dominique Bakry;Dominique Bakry;Patrick Cattiaux;Patrick Cattiaux;Arnaud Guillin;Arnaud Guillin

  • A simple proof of the Poincaré inequality for a large class of probability measures

    Dominique Bakry;Franck Barthe;Patrick Cattiaux;Arnaud Guillin

  • Probabilistic approach for granular media equations in the non uniformly convex case

    Patrick Cattiaux;Patrick Cattiaux;Arnaud Guillin;Florent Malrieu

  • Convergence of adaptive mixtures of importance sampling schemes

    R. Douc;A. Guillin;Jean-Michel Marin;C. P. Robert

  • Couplings and quantitative contraction rates for Langevin dynamics

    Andreas Eberle;Arnaud Guillin;Raphael Zimmer

  • Subgeometric rates of convergence of f-ergodic strong Markov processes

    Randal Douc;Gersende Fort;Arnaud Guillin

  • Quantitative Harris-type theorems for diffusions and McKean–Vlasov processes

    Andreas Eberle;Arnaud Guillin;Raphael Zimmer

  • Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation

    François Bolley;Arnaud Guillin;Florent Malrieu

  • Convergence to equilibrium in Wasserstein distance for Fokker-Planck equations

    François Bolley;Ivan Gentil;Arnaud Guillin

  • Minimum variance importance sampling via Population Monte Carlo

    Randal Douc;Arnaud Guillin;Jean-Michel Marin;Christian P. Robert

  • TRANSPORTATION-INFORMATION INEQUALITIES FOR MARKOV PROCESSES

    Arnaud Guillin;Christian Léonard;Liming Wu;Liming Wu;Nian Yao

  • Degenerate Fokker–Planck equations: Bismut formula, gradient estimate and Harnack inequality

    Arnaud Guillin;Feng-Yu Wang;Feng-Yu Wang

  • Uniform Convergence to Equilibrium for Granular Media

    François Bolley;Ivan Gentil;Arnaud Guillin

  • Modified logarithmic Sobolev inequalities and transportation inequalities

    Ivan Gentil;Arnaud Guillin;Laurent Miclo

  • On quadratic transportation cost inequalities

    Patrick Cattiaux;Arnaud Guillin

Frequent Co-Authors

Feng-Yu Wang
Feng-Yu Wang Tianjin University
Christian P. Robert
Christian P. Robert Paris Dauphine University
Jean-Michel Marin
Jean-Michel Marin University of Montpellier
Olivier Cappé
Olivier Cappé PSL University
Pablo Samaniego
Pablo Samaniego Laboratoire Magmas et Volcans
Cédric Villani
Cédric Villani École Normale Supérieure de Rennes
Jean Dolbeault
Jean Dolbeault Paris Dauphine University
Walter Schachermayer
Walter Schachermayer University of Vienna
Gilles Pagès
Gilles Pagès Sorbonne University
Simon R. Harris
Simon R. Harris Wellcome Sanger Institute

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