Publications
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Down-up algebras and their representation theory. J. Algebra. 2000;228:286-310.Edit
Injective Hulls of Simple Modules over Differential Operator Rings. Communications in Algebra. 2015;2015(10):4221-4230.Edit
A variational principle for free semigroup actions. Advances in Mathematics. 2018;334:450-487.Edit
The C^1 interior of zero entropy diffeomorphisms. Portugaliae Mathematica. 1996;53(1):89-95.
Non-uniformly hyperbolicity for infinite dimensional cocycles. Stochastics and Dynamics. 2013;13(No. 3):1-17.
Chaotic Newton's sequences. The Mathematical Intelligencer. 2002;24(1):1-5.
Dynamics of a quasi-quadratic map. Journal of Difference Equations and Applications. 2014;20 (1):36-48.Edit
Ring theoretical properties of affine cellular algebras. Journal of Algebra. 2017;476:494-518.Edit
Sharkowskii order for non-wandering points. Portugaliae Mathematica. 2012;69(2):159-165.Edit
Movement and Shape. Vol 71 Bol. Soc. Port. Mat. 2014.Edit
Generic area-preserving reversible diffeomorphisms. Nonlinearity. 2015;28:1695-1720.Edit
On the Azumaya locus of some crossed products. Comm. Algebra. 2005;33:51-72.
Complete set of invariants for a Bykov attractor. Regular and Chaotic Dynamics. 2018;23(3):227-247.Edit
Entropy dimension of dynamical systems. Portugaliae Mathematica. 1997;54(1):19-40.
Curved Pythagorean triangles. Vol 69 Bol. Soc. Port. Mat. 2013.Edit
Persistence of Bowen-Ruelle-Sinai measures. Discrete and Continuous Dynamical Systems. 2007;17(1):213-221.
Imperfect friezes of integers. Vol 67 Bol. Soc. Port. Mat. 2012.
Bowen-Ruelle-Sinai measures for n-dimensional derived from Anosov diffeomorphisms. Ergodic Theory & Dynamical Systems. 1993;13:21-44.
(Semi)continuity of the entropy of Sinai probability measures for partially hyperbolic diffeomorphisms. Journal of Mathematical Analysis and Applications. 2016;434(2):1123-1137.
Partial skew group rings over polycyclic by finite groups. Algebr. Represent. Theory. 2011;14:449-462.Edit
O método de Diofanto e a curva a^b = b^a SPM In Press.Edit
Commuting expanding dynamics. Portugaliae Mathematica. 1999;56(4):443-463.
Periodic points of Ruelle-expanding maps. Qualitative Theory of Dynamical Systems. 2014;Volume 13(Issue 2 ):215-251 .