Loosely Bernoulli zero exponent measures for elliptic matrix cocycles (with L.J. Díaz and M. Rams)
Heterodimensional cycles of hyperbolic ergodic measures (with Ch. Bonatti and L.J. Díaz)
The amount of nonhyperbolicity for partially hyperbolic diffeomorphisms (with L.J. Díaz and J. Zhang)
Publications
Synchronization rates and limit laws for random dynamical systems (with G. Salcedo) To appear in Math. Z.
Exceptional sets for geodesic flows of noncompact manifolds. Discrete and Continuous Dynamical Systems 44(11) (2024), 3371-3397. (with F. Riquelme)
Contracting on average iterated function systems by metric change. Nonlinearity 36 (2023), no. 12, 6879–6924. (with G. Salcedo)
Nonhyperbolic dynamics by mingling, blending, and flip-flopping. Topology Appl. 339 (2023), part A, Paper No. 108571 (with L.J. Díaz)
Mingled hyperbolicities: ergodic properties and bifurcation phenomena (an approach using concavity). Discrete Contin. Dyn. Syst. 42 (2022), no. 11, 5309–5376. (with L.J. Díaz and M. Rams)
Entropy of irregular points for some dynamical systems. J. Stat. Phys. 189 (2022), no. 1, Paper No. 7, 11 pp. (with M.J. Pacifico and D. Sanhueza)
Variational principle for nonhyperbolic ergodic measures: skew products and elliptic cocycles. Comm. Math. Phys. 394 (2022), no. 1, 73–141. (with L.J. Díaz and M. Rams)
When winning sets have full dimension. Involve 14 (2021), no. 2, 195–207 (with P. Birindiba)
Weak∗ and entropy approximation of nonhyperbolic measures: a geometrical approach. Math. Proc. Cambridge Philos. Soc. 169 (2020), no. 3, 507–545. (with L.J. Díaz and B. Santiago)
Invariant multi-graphs in step skew-products. Dyn. Syst. 35 (2020), no. 1, 1–28. (with D. Oliveira)
The structure of the space of ergodic measures of transitive partially hyperbolic sets. Monatsh. Math. 190 (2019), no. 3, 441–479. (with L.J. Díaz, T. Marcarini, and M. Rams)
Hyperbolic graphs: critical regularity and box dimension. Trans. Amer. Math. Soc. 371 (2019), no. 12, 8535–8585. (with L.J. Díaz, M. Gröger, and T. Jäger)
Exceptional sets for nonuniformly hyperbolic diffeomorphisms. J. Dynam. Differential Equations 31 (2019), no. 2, 979–1004. (with S. Campos)
Geodesic flows modelled by expansive flows. Proc. Edinb. Math. Soc. (2) 62 (2019), no. 1, 61–95. (with R. Ruggiero)
Entropy spectrum of Lyapunov exponents for nonhyperbolic step skew-products and elliptic cocycles. Comm. Math. Phys. 367 (2019), no. 2, 351–416. (with L.J. Díaz and M. Rams)
Non-hyperbolic behavior of geodesic flows of rank 1 surfaces. Discrete Contin. Dyn. Syst. 39 (2019), no. 1, 521–551.
On density of ergodic measures and generic points. Ergodic Theory Dynam. Systems 38 (2018), no. 5, 1745–1767. (with D. Kwietniak)
Dominated Pesin theory: convex sum of hyperbolic measures. Israel J. Math. 226 (2018), no. 1, 387–417. (with J. Bochi and Ch. Bonatti)
Random iterations of homeomorphisms on the circle. Mod. Stoch. Theory Appl. 4 (2017), no. 3, 253–271. (with Ö. Stenflo(
Nonhyperbolic step skew-products: ergodic approximation. Ann. Inst. H. Poincaré C Anal. Non Linéaire 34 (2017), no. 6, 1561–1598. (with L.J. Díaz and M. Rams)
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