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Christian Bonatti

Christian Bonatti

D-Index & Metrics

Mathematics

D-Index
37
Citations
6906
World Ranking
2467
National Ranking
148

Christian Bonatti 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 Christian Bonatti 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: 150 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.

Christian Bonatti 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 Christian Bonatti 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

Christian Bonatti is affiliated with the University of Burgundy in France. Their research primarily centers on mathematics, with a significant focus on mathematical physics, geometry and topology, statistical and nonlinear physics, applied mathematics, and computational theory and mathematics.

Their main fields of study include:

  • Mathematics

More specifically, their subfields of expertise cover:

  • Mathematical Physics
  • Geometry and Topology
  • Statistical and Nonlinear Physics
  • Applied Mathematics
  • Computational Theory and Mathematics

Christian Bonatti's research topics include:

  • Mathematical Dynamics and Fractals
  • Geometric and Algebraic Topology
  • Homotopy and Cohomology in Algebraic Topology
  • Quantum chaos and dynamical systems
  • Advanced Differential Equations and Dynamical Systems
  • Algebraic Geometry and Number Theory
  • Geometry and complex manifolds

The scientist has contributed several published papers, including:

  • Star flows and multisingular hyperbolicity, 2021, Journal of the European Mathematical Society
  • Anosov flows on -manifolds: the surgeries and the foliations, 2022, Ergodic Theory and Dynamical Systems
  • Projective cocycles over SL(2,R) actions: measures invariant under the upper triangular group, 2020, Astérisque
  • Upper, down, two-sided Lorenz attractor, collisions, merging and switching, 2021, arXiv (Cornell University)
  • Action on the circle at infinity of foliations of ℝ², 2024, L'Enseignement Mathématique

Frequent venues for their publications show recurring contributions to:

  • arXiv (Cornell University)
  • Ergodic Theory and Dynamical Systems
  • Astérisque
  • Journal of the European Mathematical Society
  • L'Enseignement Mathématique

Collaboration is a part of their scientific activity, with frequent co-authors including:

  • Katsutoshi Shinohara
  • Xavier Gómez-Mont
  • Manuel González Villa
  • Pablo Portilla Cuadrado
  • Ioannis Iakovoglou

Best Publications

  • SRB measures for partially hyperbolic systems whose central direction is mostly expanding

    José F. Alves;Christian Bonatti;Marcelo Viana

  • Dynamics Beyond Uniform Hyperbolicity: A Global Geometric and Probabilistic Perspective

    Christian Bonatti;Lorenzo J. Díaz;Marcelo Viana

  • SRB measures for partially hyperbolic systems whose central direction is mostly contracting

    Unknown

  • A C^1-generic dichotomy for diffeomorphisms: Weak forms of hyperbolicity or infinitely many sinks or sources

    Christian Bonatti;Lorenzo Díaz;Enrique R. Pujals

  • Récurrence et généricité

    Christian Bonatti;Sylvain Crovisier

  • Persistent nonhyperbolic transitive diffeomorphisms

    Christian Bonatti;Lorenzo J. Díaz

  • Recurrence and genericity

    Christian Bonatti;Sylvain Crovisier

  • NONUNIFORM HYPERBOLICITY FOR C 1 -GENERIC DIFFEOMORPHISMS

    Flavio Abdenur;Christian Bonatti;Sylvain Crovisier

  • Lyapunov exponents with multiplicity 1 for deterministic products of matrices

    C. Bonatti;M. Viana

  • Généricité d'exposants de Lyapunov non-nuls pour des produits déterministes de matrices

    Christian Bonatti;Xavier Gómez-Mont;Marcelo Viana

  • Robust heterodimensional cycles and C 1 -generic dynamics

    Christian Bonatti;Lorenzo J. Díaz

  • Connexions hétéroclines et généricité d'une infinité de puits et de sources

    Christian Bonatti;Lorenzo Díaz

  • Knots as Topological Invariants for Gradient-Like Diffeomorphisms of the Sphere S3

    Unknown

  • Transitive partially hyperbolic diffeomorphisms on 3-manifolds

    Christian Bonatti;Amie Wilkinson

  • Perturbations of the derivative along periodic orbits

    Christian Bonatti;Nikolas Gourmelon;Thérèse Vivier

  • Lorenz attractors with arbitrary expanding dimension

    C. Bonatti;A. Pumarino;M. Viana

  • Periodic points and homoclinic classes

    Flavio Abdenur;Christian Bonatti;Sylvain Crovisier;Lorenzo J. Díaz

  • Abundance of C 1 -robust homoclinic tangencies

    Christian Bonatti;Lorenzo J. Díaz

  • Difféomorphismes de smale des surfaces

    Christian Bonatti;Remi Langevin;Emmanuelle Jeandenans

  • Removing zero Lyapunov exponents

    Alexandre T. Baraviera;Christian Bonatti

  • On maximal transitive sets of generic diffeomorphisms

    Christian Bonatti;Lorenzo J. Díaz

  • MINIMALITY OF STRONG STABLE AND UNSTABLE FOLIATIONS FOR PARTIALLY HYPERBOLIC DIFFEOMORPHISMS

    Christian Bonatti;Lorenzo J. Díaz;Raúl Ures

Frequent Co-Authors

Marcelo Viana
Marcelo Viana Instituto Nacional de Matemática Pura e Aplicada
John Franks
John Franks Northwestern University
Alex Eskin
Alex Eskin University of Chicago
Viviane Baladi
Viviane Baladi Centre national de la recherche scientifique, CNRS
Uffe Haagerup
Uffe Haagerup University of Copenhagen
Mark Sapir
Mark Sapir Vanderbilt University
André Haefliger
André Haefliger University of Geneva

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