World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
33
Citations
6279
World Ranking
3009
National Ranking
7

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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