Marcelo Viana
Continuity of the Lyapunov exponents of random matrix products
with A. Avila and A. Eskin.
Thermodynamical u-formalism II: Maximal transverse measures of expanding foliations
with R. Ures, F. Yang and J. Yang.
Hyperbolicity and rigidity for fibred partially hyperbolic systems
with S. Chakraborty.
J.Dynam. & Diff. Eqs.
Thermodynamical u-formalism I: measures of maximal u-entropy for maps that factor over Anosov
with R. Ures, F. Yang and J. Yang.
Ergod. Th. & Dynam. Sys.
22 (2024), 290-333.
Absolute continuity, rigidity and Lyapunov exponents II : systems with compact center leaves
with A. Avila and A. Wilkinson.
Ergod. Th. & Dynam. Sys.
42 (2022), 437-490.
Partially volume expanding diffeomorphisms
with S. Gan, M. Li and J. Yang.
Annales Henri Poincaré
22 (2021), 331-346.
Maximal entropy measures of diffeomorphisms of circle fiber bundles
with R. Ures and J. Yang.
J. London Math. Society
103 (2021), 1016-1034.
Stable accessibility with 2-dimensional center
with A. Avila.
Astérisque
416 (2020), 301-320.
(Dis)continuity of Lyapunov exponents
Ergod. Th. & Dynam. Sys.
40 (2020), 577-611.
Moduli of continuity for the Lyapunov exponents of random GL(2)-cocycles
with E. Y. Tall.
Trans. A.M.S.
373 (2020), 1343-1383.
Continuity of Lyapunov exponents in the C
0
topology
with J. Yang.
Israel J. of Math.
229 (2019), 461-485.
Simple Lyapunov spectrum for certain linear cocycles over partially hyperbolic maps
with M. Poletti.
Nonlinearity
32 (2019), 238-284.
Lyapunov exponents of probability distributions with non-compact support
with A. Sánchez.
Measure-theoretical properties of center foliations
with J. Yang.
Contemporary Mathematics
692 (2017), 291-320.
Equilibrium states for hyperbolic potentials
with V. Ramos.
Nonlinearity
30 (2017), 825-847.
Continuity of Lyapunov exponents for random 2D matrices
with C. Bocker.
Ergod. Th. & Dynam. Sys.
37 (2017), 1413-1442.
Geometric and mesure-theoretical structures of maps with mostly contracting center
with D. Dolgopyat and J. Yang.
Communications in Mathematical Physics
341 (2016), 991-1014.
Lyapunov exponents of linear cocycles over Markov shifts
with E. Malheiro.
Stochastics & Dynamics
15 (2015), 1550020, 27 pp.
Absolute continuity, rigidity and Lyapunov exponents I : geodesic flows
with A. Avila and A. Wilkinson.
Journal of the E.M.S.
17 (2015), 1435-1462.
Holonomy invariance: rough regularity and applications to Lyapunov exponents
with A. Avila and J. Santamaria.
Astérisque
358 (2013), 13-74.
Cocycles over partially hyperbolic maps
with A. Avila, J. Santamaria, A. Wilkinson.
Astérisque
358 (2013), 1-12.
Entropy conjecture for diffeomorphisms away from tangencies
with G. Liao and J. Yang.
Journal of the E.M.S.
15 (2013), 2043-2060.
Physical measures and absolute continuity for one-dimensional center direction
with J. Yang.
Annales Inst. Henri Poincaré - Analyse Non-Linéaire
30 (2013), 845-877.
Extremal Lyapunov exponents: an Invariance Principle and applications
with A. Avila.
Inventiones Math.
181 (2010), 115-189.
Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps
with P. Varandas.
Annales Inst. Henri Poincaré - Analyse Non-Linéaire
27 (2009), 555-593.
Invariant measures for maps with critical and singular points
with V. Araújo and S. Luzzatto.
Advances in Mathematics
221 (2009), 1428-1444.
Hyperbolic dynamical systems.
with V. Araújo.
Encyclopedia of Complexity and System Science
, pp. 4723-4737, Springer Verlag, 2008.
Singular-hyperbolic attractors are chaotic
with V. Araújo, M. J. Pacifico, E. R. Pujals.
Trans. Amer. Math. Soc.
361 (2009) 2431-2485.
Thermodynamical formalism for robust classes of potentials and non-uniformly hyperbolic maps
with K. Oliveira.
Ergod. Th. & Dynam. Sys.
28 (2008) 501-533.
Almost all cocycles over any hyperbolic system have non-vanishing Lyapunov exponents
Annals of Math.
167 (2008), 643-680.
Lyapunov exponents of Teichmüller flows
Fields Institute Communications
51 (2007), 139-201.
Simplicity of Lyapunov spectra: Proof of the Zorich-Kontsevich conjecture
with A. Avila.
Acta Mathematica
198 (2007), 1-56
Simplicity of Lyapunov spectra: A sufficient criterion
with A. Avila.
Portugaliae Mathematica
64 (2007) 311-376
Ergodic theory of interval exchange maps
Revista Matematica Complutense
19 (2006), 7-100.
Lyapunov exponents and strange attractors.
Encyclopedia of Mathematical Physics
, volume 3, page 349, Elsevier, 2006.
Dynamics in the moduli space of Abelian differentials
with A. Avila.
Portugaliae Mathematica
62 (2005) 531-547.
Existence and uniqueness of maximizing measures for robust classes of local diffeomorphisms
with K. Oliveira.
Discr. & Contin. Dynam. Sys.
16 (2006), 225-236.
Géométrie et dynamique des surfaces plates
(
version publiée
)
Images des Mathématiques 2006, CNRS, 147-154.
Hausdorff dimension of non-hyperbolic repellers II: DA diffeomorphisms
with V. Horita.
Discr. & Contin. Dynam. Sys.
13 (2005), 1125-1152.
Random perturbations and statistical properties of Hénon-like maps
with M. Benedicks.
Annales Inst. Henri Poincaré
23(2006), 713-752.
The Lyapunov exponents of generic volume preserving and symplectic systems
with J. Bochi.
Annals of Math.
161 (2005) 1423-1485
Lyapunov exponents : How frequently are dynamical systems hyperbolic ?
with J. Bochi, in Advances in Dynamical Systems. Cambridge University Press, 2004.
Abundance of stable ergodicity
with C. Bonatti, C. Matheus, and A. Wilkinson.
Comentarii Math. Helvetici
79 (2004) 753-757.
Lyapunov exponents with multiplicity 1 for deterministic products of matrices
with C. Bonatti.
Ergod. Th. & Dynam. Sys.
24 (2004) 1295-1330.
Reprinted in
Dynamical Systems.
Michel Herman memorial volume.
Edited by A. Fathi and J.-C. Yoccoz. Cambridge University Press, 2006, 25-60.
Parameter exclusions in Hénon-like systems
with S. Luzzatto.
Russian Math. Surveys
58 (2003), 1053-1092.
Généricité d'exposants de Lyapunov non-nuls pour des produits déterministes de matrices
with C. Bonatti and X. Gomez-Mont.
Annales Inst. Henri Poincaré
20 (2003), 579-624.
Uniform (projective) hyperbolicity or no hyperbolicity: a dichotomy for generic conservative systems
with J. Bochi.
Annales Inst. Henri Poincaré
19 (2002), 113-123.
Statistical stability for a robust class of maps with non-uniform expansion
with J. F. Alves.
Ergod. Th. & Dynam. Sys.
22 (2002), 1-32.
The intermittency route to chaotic dynamics
with L. J. Díaz and I. L. Rios, in Global Analysis of Dynamical Systems (Takens Festschrift), 309-327, IOP Publ., 2001.
Hausdorff dimension of non-hyperbolic repellers I: maps with holes
with V. Horita.
Journal Statistical Physics
105 (2001), 835-862.
Homoclinic tangencies and fractal invariants in arbitrary dimension
with C. G. Moreira and J. Palis.
C. R. Acad. Sciences Paris
333 (2001), 475-480.
Dynamical Systems: moving into the next century
In Mathematics Unlimited - 2001 and Beyond
, Springer Verlag.
Solution of the basin problem for Hénon-like attractors
with M. Benedicks.
Inventiones Math.
143 (2001), 375-434.
What's new on Lorenz strange attractors ?
Math. Intelligencer
22-3 (2000), 6-19.
SRB measures for partially hyperbolic systems whose central direction is mostly expanding
with J. F. Alves and C. Bonatti.
Inventiones Math.
140 (2000), 351-298.
Reprinted in
The theory of chaotic attractors.
Dedicated to James A. Yorke in commemoration of his 60th birthday.
Edited by Brian R. Hunt, Judy A. Kennedy, Tien-Yien Li and Helena E. Nusse. Springer Verlag, 2004, 443-490.
SRB measures for partially hyperbolic systems whose central direction is mostly contracting
with C. Bonatti.
Israel J. of Math.
115 (2000), 157-193.
Positive Lyapunov exponents for Lorenz-like families with criticalities
with S. Luzzatto.
Astérisque
261 (2000), 201-237.
Dynamics: a probabilistic and geometric perspective
Documenta Mathematica
ICM98, vol 1 (1998), 557-578.
Infinite-modal maps with global chaotic behavior
with M. J. Pacifico and A. Rovella.
Annals of Math.
148 (1998), 441-484.
Multidimensional nonhyperbolic attractors
Publ. Math. IHÉS
85 (1997), 63-96.
Lorenz-like attractors with arbitrary expanding dimension
with C. Bonatti and A. Pumariño.
C. R. Acad. Sciences Paris
325 (1997), 883-888.
The statistics of attractors
Procs. 27th Annual Iranian Mathematical Conference (1996), Shiraz University, Iran, 305-318.
Strange attractors in saddle-node cycles: prevalence and globality
with L. J. Díaz and J. Rocha.
Inventiones Math.
125 (1996), 37-74.
Strong stochastic stability and rate of mixing for unimodal maps
with V. Baladi.
Annales Sci. E. N. S.
29 (1996) 483-517.
Discontinuity of the Hausdorff dimension of hyperbolic sets
with C. Bonatti and L. J. Díaz.
C. R. Acad. Sciences Paris
320 (1995), 713-718.
Chaotic dynamical behaviour
in
Procs. XI International Congress of Mathematical Physics 1994 (Paris)
, 142-154, International Press, 1995.
Homoclinic bifurcations and persistence of nonuniformly hyperbolic attractors
in Procs. International Congress of Mathematicians 1994 (Zurich), 1221-1229, Birkhäuser, 1995.
High dimensional diffeomorphisms displaying infinitely many periodic attractors
with J. Palis.
Annals of Math.
140 (1994), 207-250.
Strange attractors in higher dimensions
Bull. Braz. Math. Soc.
24 (1993), 13-62.
Abundance of strange attractors
with L. Mora.
Acta Mathematica
171 (1993), 1-71.
Prevalence of Hénon-like attractors in the unfolding of saddle-node cycles
in Procs. XVIII Braz. Math. Colloquium, IMPA, Rio de Janeiro, 1991.
Persistence of strange attractors when unfolding homoclinic tangencies
in Dynamical Systems and Related Topics, Advanced Series in Dynamical Systems 9, 539-549, World Scientific 1990.
Discontinuity of Hausdorff dimension and limit capacity on arcs of diffeomorphisms
with L. J. Díaz.
Ergod. Th. & Dynam. Sys.
9 (1989), 403-425.
Continuity of Hausdorff dimension and limit capacity for horseshoes
with J. Palis. in Dynamical Systems,
Lect. Notes in Math.
1331, 150-160, Springer Verlag (1988).
The differentiability of the hairs of exp(z)
Procs. Amer. Math. Soc.
103, 4 (1988), 1179-1184.