World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
33
Citations
6279
World Ranking
3010
National Ranking
7

Luis Barreira 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 Luis Barreira 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: 395 publications — 93rd percentile

93% of scientists in this discipline score the same or lower.

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

Luis Barreira 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 Luis Barreira 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: 33 D-Index — 17th percentile

17% of scientists in this discipline score the same or lower.

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

Overview

Luis Barreira is affiliated with the University of Lisbon in Portugal. Their research spans multiple disciplines including mathematics, engineering, and computer science.

The main fields of study are:

  • Mathematics
  • Engineering
  • Computer Science

Their work extends into several subfields such as:

  • Control and Systems Engineering
  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Computational Theory and Mathematics
  • Applied Mathematics

Key research topics include:

  • Stability and Controllability of Differential Equations
  • Quantum chaos and dynamical systems
  • Advanced Differential Equations and Dynamical Systems
  • Advanced Mathematical Modeling in Engineering
  • Mathematical Dynamics and Fractals
  • Nonlinear Differential Equations Analysis
  • Nonlinear Dynamics and Pattern Formation

Recent publications demonstrate engagement with advanced topics in dynamical systems, differential equations, and mathematical analysis. Selected papers include:

  • Integrability and zero-Hopf bifurcation in the Sprott A system, 2020, Bulletin des Sciences Mathématiques
  • Nonadditive topological pressure for flows, 2020, Nonlinearity
  • Smooth linearization under nonuniform hyperbolicity, 2021, Revista Matemática Iberoamericana
  • Almost additive multifractal analysis for flows, 2021, Nonlinearity
  • Stable manifolds for difference equations with infinite delay, 2020, The Journal of Difference Equations and Applications

The scientist frequently publishes in the following venues:

  • Journal of Dynamics and Differential Equations
  • The Journal of Difference Equations and Applications
  • Journal of Differential Equations
  • Electronic journal of qualitative theory of differential equations
  • Quaestiones Mathematicae

Collaborations are notable with several coauthors, reflecting sustained research partnerships. Frequent coauthors include:

  • Clàudìa Valls
  • Carllos Eduardo Holanda
  • Jaume Llibre
  • João Rijo
  • Claudia Valls

In addition to journal articles, Luis Barreira has authored books published by prominent academic publishers. These include:

  • Introduction to Smooth Ergodic Theory, published by American Mathematical Society in 2023
  • Spectra and Normal Forms, published by Springer International Publishing in 2024

Best Publications

  • Nonuniform Hyperbolicity: Dynamics of Systems with Nonzero Lyapunov Exponents

    Luis Barreira;Yakov Pesin

  • Lyapunov Exponents and Smooth Ergodic Theory

    Luis M. Barreira;Yakov B. Pesin

  • Nonuniform Hyperbolicity: General Hyperbolic Measures

    Luis Barreira;Yakov Pesin

  • SETS OF "NON-TYPICAL" POINTS HAVE FULL TOPOLOGICAL ENTROPY AND FULL HAUSDORFF DIMENSION

    Luis Barreira;Jörg Schmeling

  • Nonuniform Hyperbolicity: Ergodic Theory of Smooth and SRB Measures

    Luis Barreira;Yakov Pesin

  • Dimension and product structure of hyperbolic measures

    Luis Barreira;Yakov Pesin;Jörg Schmeling

  • Stability of nonautonomous differential equations

    Luis M. Barreira;Claudia Valls

  • A non-additive thermodynamic formalism and applications to dimension theory of hyperbolic dynamical systems

    Luis M. Barreira

  • HAUSDORFF DIMENSION OF MEASURES VIA POINCAR E RECURRENCE

    L. Barreira;B. Saussol

  • Variational principles and mixed multifractal spectra

    L. Barreira;B. Saussol

  • On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity

    Luis Barreira;Yakov Pesin;Jörg Schmeling

  • Higher-dimensional multifractal analysis

    Luis Barreira;Benoît Saussol;Jörg Schmeling

  • Dimension and Recurrence in Hyperbolic Dynamics

    Luis Barreira

  • Nonadditive thermodynamic formalism: Equilibrium and Gibbs measures

    Luis Barreira

  • Thermodynamic Formalism and Applications to Dimension Theory

    Luis Barreira

  • Chapter 2 – Smooth Ergodic Theory and Nonuniformly Hyperbolic Dynamics

    Luis Barreira;Yakov Pesin;Omri Sarig

  • Multifractal Analysis of Hyperbolic Flows

    L. Barreira;B. Saussol

  • A Grobman-Hartman theorem for nonuniformly hyperbolic dynamics

    Luis Barreira;Claudia Valls

  • Distribution of frequencies of digits via multifractal analysis

    L Barreira;B Saussol;Jörg Schmeling

  • Dimension estimates in smooth dynamics: a survey of recent results

    Luis Barreira;Katrin Gelfert

  • Introduction to Smooth Ergodic Theory

    Luis Barreira;Yakov Pesin

  • Robustness of nonuniform exponential dichotomies in Banach spaces

    Luis Barreira;Claudia Valls

  • Polynomial growth rates

    Luis Barreira;Claudia Valls

  • The Multiplicative Ergodic Theorem

    Luis Barreira;Yakov Pesin

Frequent Co-Authors

Yakov Pesin
Yakov Pesin Pennsylvania State University
Jaume Llibre
Jaume Llibre Autonomous University of Barcelona

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