Luis Barreira

Research Monographs

Graduate texts

Undergraduate texts

Problem books

Books

  1. (with Ya. Pesin) Lyapunov Exponents and Smooth Ergodic Theory, University Lecture Series 23, American Mathematical Society, 2002.
  2. (with Ya. Pesin) Nonuniform Hyperbolicity, Encyclopedia of Mathematics and its Applications 115, Cambridge University Press, 2007.
  3. (with C. Valls) Stability of Nonautonomous Differential Equations, Lecture Notes in Mathematics 1926, Springer, 2008.
  4. Dimension and Recurrence in Hyperbolic Dynamics, Progress in Mathematics 272, Birkhäuser, 2008. Ferran Sunyer i Balaguer Prize 2008
  5. Análise Complexa e Equações Diferenciais, Colecção Ensino da Ciência e da Tecnologia 30, IST Press, 2009.

    Analyse Complexe et Équations Différentielles, Enseignement Sup - Mathématiques, EDP Sciences, 2011.

    Complex Analysis and Differential Equations, SUMS, Springer, 2012.

    Análisis Complejo y Ecuaciones Diferenciales, Delta Publicaciones, 2012.

    Análise Complexa e Equações Diferenciais: Teoria, Editora Livraria da Física, 2012.

  6. (with C. Valls) Equações Diferenciais: Teoria Qualitativa, Colecção Ensino da Ciência e da Tecnologia 33, IST Press, 2010.

    Ordinary Differential Equations: Qualitative Theory, Graduate Studies in Mathematics 137, American Mathematical Society, 2012.

    Equações Diferenciais Ordinárias: Teoria Qualitativa, Editora Livraria da Física, 2012.

    Ecuaciones Diferenciales Ordinarias, Delta Publicaciones, to appear.

  7. (with C. Valls) Exercícios de Análise Complexa e Equações Diferenciais, Colecção Apoio ao Ensino f, IST Press, 2010.

    Analyse Complexe et Équations Différentielles - Exercices Corrigés, Enseignement Sup - Mathématiques, EDP Sciences, 2011.

    Complex Analysis and Differential Equations, SUMS, Springer, 2012.

    Ejercicios de Análisis Complejo y Ecuaciones Diferenciales, Delta Publicaciones, 2012.

    Análise Complexa e Equações Diferenciais: Exercícios, Editora Livraria da Física, 2012.

  8. (with C. Valls) Exercícios de Álgebra Linear, Colecção Apoio ao Ensino g, IST Press, 2011.

    Álgebra Linear: Exercícios, Editora Livraria da Física, 2012.

    Ejercicios de Álgebra Lineal, Delta Publicaciones, to appear.

  9. Thermodynamic Formalism and Applications to Dimension Theory, Progress in Mathematics 294, Birkhäuser, 2011.
  10. Ergodic Theory, Hyperbolic Dynamics and Dimension Theory, Universitext, Springer, 2012.
  11. (with C. Valls) Sistemas Dinâmicos: Uma Introdução, Colecção Ensino da Ciência e da Tecnologia 44, IST Press, 2012.

    Teoria dos Sistemas Dinâmicos: Uma Introdução, Editora Livraria da Física, 2012.

    Dynamical Systems: An Introduction, Universitext, Springer, 2013.

  12. Théorie des Systèmes Dynamiques : Une Introduction, Enseignement Sup - Mathématiques, EDP Sciences, 2013.

    Sistemas Dinámicos: Una Introducción, Delta Publicaciones, to appear.

  13. Dimension Theory of Hyperbolic Flows, Springer Monographs in Mathematics, Springer, 2013.
  14. (with Ya. Pesin) Introduction to Smooth Ergodic Theory, Graduate Studies in Mathematics 148, American Mathematical Society, 2013.

Surveys

  1. Pesin theory, Encyclopaedia of Mathematics, Supplement I, Kluwer, 1997, pp. 406-411.
  2. (with Ya. Pesin) Lectures on Lyapunov exponents and smooth ergodic theory, with appendices by M. Brin and by D. Dolgopyat, H. Hu and Ya. Pesin, Smooth Ergodic Theory and Its Applications, Proc. Symposia Pure Math. 69, Amer. Math. Soc., 2001, pp. 3-106.
  3. Hyperbolicity and recurrence in dynamical systems: a survey of recent results, Resenhas IME-USP 5 (2002), 171-230.
  4. Poincaré recurrence: old and new, XIV International Congress on Mathematical Physics (Lisboa, 2003), World Scientific, 2005, pp. 415-422.
  5. (with Ya. Pesin) Smooth ergodic theory and nonuniformly hyperbolic dynamics, with appendix by O. Sarig, Handbook of Dynamical Systems 1B, Elsevier, 2006, pp. 57-263.
  6. (with C. Valls) Stability in nonautonomous dynamics: a survey of recent results, São Paulo J. Math. Sci. 1 (2007), 133-174.
  7. Almost additive thermodynamic formalism: some recent developments, Rev. Math. Phys. 22 (2010), 1147-1179.
  8. (with K. Gelfert) Dimension estimates in smooth dynamics: a survey of recent results, Ergodic Theory Dynam. Systems 31 (2011), 641-671.