Luís Barreira

Mathematical Physics · 2000–2013

A researcher in the Science corpus: 23 papers; trusts 25 researchers and is trusted by 44 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 69 citations into it; #431 of 8,562 by trust here, #360 by citations
• Statistical and Nonlinear Physics — 44 citations into it; #962 of 10,127 by trust here, #1,166 by citations
• Geometry and Topology — 30 citations into it; #3,245 of 7,422 by trust here, #4,709 by citations
• Computational Theory and Mathematics — 13 citations into it; #2,964 of 12,182 by trust here, #2,489 by citations
• Applied Mathematics — 11 citations into it; #2,420 of 7,620 by trust here, #3,410 by citations
• Computer Networks and Communications — 10 citations into it
• Control and Systems Engineering — 7 citations into it; #1,338 of 8,257 by trust here, #2,078 by citations

Whom Luís Barreira trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Dmitry Dolgopyat
2. L. Arnold
3. S. Gouëzel
4. O. Sarig
5. Liverani Carlangelo
6. C. Bonatti
7. J. Schmeling
8. José F. Alves
9. B. Saussol
10. De-Jun Feng

Who trusts Luís Barreira overall

1. Daniel Thompson
2. De-Jun Feng
3. A. J. G. Bento
4. Daniel J. Thompson
5. Adam Czornik
6. B. Saussol
7. Lars Olsen
8. César M. Silva
9. Yongluo Cao
10. Charalampos Skokos

Papers from Luís Barreira's perspective

Ordered by how strongly the researchers Luís Barreira trusts endorse each paper. Same corpus, a different order for every researcher.

1. GÉNÉRICITÉ D'EXPOSANTS DE LYAPUNOV NON-NULS POUR DES PRODUITS DÉTERMINISTES DE MATRICES GENERICITY OF NON-ZERO LYAPUNOV EXPONENTS FOR DETERMINISTIC PRODUCTS OF MATRICES
2. Pathological foliations and removable zero exponents
3. On Contact Anosov Flows
4. Exponential decay of correlations for surface semi-flows without finite Markov partitions
5. Random Dynamical Systems
6. Ruelle?Perron?Frobenius spectrum for Anosov maps
7. On the variational principle for the topological entropy of certain non-compact sets (Ergodic Theory and Dynamical Systems)
8. Sharp polynomial estimates for the decay of correlations
9. Higher-dimensional multifractal analysis
10. Absolutely continuous invariant measures for multidimensional expanding maps

Their papers

• Sets of “Non-typical” points have full topological entropy and full Hausdorff dimension (2000) — 382 citations
• Stable manifolds for nonautonomous equations without exponential dichotomy (2006) — 58 citations
• Nonadditive thermodynamic formalism: Equilibrium and Gibbs measures (2006) — 91 citations
• A Grobman-Hartman theorem for nonuniformly hyperbolic dynamics (2006) — 71 citations
• Stability Of Nonautonomous Differential Equations (2007) — 262 citations
• Introduction to Smooth Ergodic Theory (2013) — 47 citations
• The Multiplicative Ergodic Theorem (2013) — 309 citations
• Dimension estimates in smooth dynamics: a survey of recent results (2010) — 53 citations
• Almost additive multifractal analysis (2009) — 58 citations
• Polynomial growth rates (2009) — 82 citations
• Robustness of nonuniform exponential dichotomies in Banach spaces (2008) — 80 citations
• Dimension and Recurrence in Hyperbolic Dynamics (2008) — 141 citations
• Stability theory and Lyapunov regularity (2007) — 59 citations
• Nonuniform Hyperbolicity: Dynamics of Systems with Nonzero Lyapunov Exponents (2007) — 323 citations
• Nonuniform Hyperbolicity: Ergodic Theory of Smooth and SRB Measures (2007) — 179 citations
• Chapter 2 – Smooth Ergodic Theory and Nonuniformly Hyperbolic Dynamics (2006) — 62 citations
• Lyapunov Exponents and Smooth Ergodic Theory (2002) — 377 citations
• Higher-dimensional multifractal analysis (2002) — 156 citations
• Distribution of frequencies of digits via multifractal analysis (2002) — 76 citations
• Variational principles and mixed multifractal spectra (2001) — 161 citations