Maria Carvalho

In Press
Carvalho M, Pacheco AC. O método de Diofanto e a curva a^b = b^a SPM In Press.
2018
Carvalho M, Rodrigues FB, Varandas P. Quantitative recurrence for free semigroup actions. Nonlinearity. 2018;31(3):864-886.
Carvalho M, Rodrigues A. Complete set of invariants for a Bykov attractor. Regular and Chaotic Dynamics. 2018;23(3):227-247.
Carvalho M, Rodrigues F, Varandas P. A variational principle for free semigroup actions. Advances in Mathematics. 2018;334:450-487.
2017
Carvalho M, Rodrigues F, Varandas P. Semigroup actions of expanding maps. Journal of Statistical Physics. 2017;166(1):114-136.
Alves JF, Carvalho M, Siqueira J. Equilibrium states for impulsive semiflows. Journal of Mathematical Analysis and Applications. 2017;451(2):839-857.
Carvalho M, Bessa M, Rodrigues A. A note on reversibility and Pell equations. Vol 75 SPM 2017.
2016
Carvalho M, Varandas P. (Semi)continuity of the entropy of Sinai probability measures for partially hyperbolic diffeomorphisms. Journal of Mathematical Analysis and Applications. 2016;434(2):1123-1137.
2015
Carvalho M, Freitas AC, Freitas JM, Holland M, Nicol M. Extremal dichotomy for uniformly hyperbolic systems. Dyn. Syst.. 2015;30:383-403.
Carvalho M, Bessa M, Rodrigues A. Generic area-preserving reversible diffeomorphisms. Nonlinearity. 2015;28:1695-1720.
Alves JF, Carvalho M, Vásquez CH. A Variational Principle for Impulsive Semiflows. Journal of Differential Equations. 2015;259:4229-4252.
Carvalho M, Lourenço JN. Convergence of p-adic series. Vol 72 Bol. Soc. Port. Mat. 2015.
2014
Carvalho M, Santos JM. Dynamics of a playing card trick. Vol 70 Bol. Soc. Port. Mat. 2014.
Carvalho M, Alves JF. Invariant probability measures and non-wandering sets for impulsive semiflows. Vol 157 -Journal of Statistical Physics, 1097-1113, Springer 2014.
Carvalho M, Oliveira AC. Movement and Shape. Vol 71 Bol. Soc. Port. Mat. 2014.
Carvalho M, Azevedo A, Machiavelo A. Dynamics of a quasi-quadratic map. Journal of Difference Equations and Applications. 2014;20 (1):36-48.
Carvalho M, Moreira F. A note on the Ergodic Theorem. Qualitative Theory of Dynamical Systems. 2014;Volume 13(Issue 2):253-268.
Carvalho M, Magalhães MA. Periodic points of Ruelle-expanding maps. Qualitative Theory of Dynamical Systems. 2014;Volume 13(Issue 2 ):215-251 .
2013
Carvalho M, Bessa M. Non-uniformly hyperbolicity for infinite dimensional cocycles. Stochastics and Dynamics. 2013;13(No. 3):1-17.
Carvalho M, Cabral H. Curved Pythagorean triangles. Vol 69 Bol. Soc. Port. Mat. 2013.
Carvalho M, Cavadas S. Playing in the limit. Vol 69 Bol. Soc. Port. Mat. 2013.
2012
Carvalho M, Moreira F. Sharkowskii order for non-wandering points. Portugaliae Mathematica. 2012;69(2):159-165.
Carvalho M, Hager M. Geometric orbits. Mathematical Intelligencer. 2012;34(2):56-62.
Carvalho M, Bessa M. Imperfect friezes of integers. Vol 67 Bol. Soc. Port. Mat. 2012.
2011
Carvalho M, Oliveira AC. Roads for exotic wheels. Vol 65 Bol. Soc. Port. Mat. 2011.
Carvalho M, Rodrigues A. Intermediate value property vs. continuity. Vol 65 Bol. Soc. Port. Mat. 2011.
2010
Alves JF, Carvalho M, Freitas JM. Statistical stability for Hénon maps of the Benedicks-Carleson type. Ann. Inst. H. Poincaré Anal. Non Linéaire. 2010;27:595-637.
Alves JF, Carvalho M, Freitas JM. Statistical Stability and Continuity of SRB Entropy for Systems with Gibbs-Markov Structures. Comm. Math. Phys.. 2010;296:739-767.
2008
Carvalho M, Bessa M. On the Lyapunov spectrum of infinite dimensional random products of compact operators. Stochastics and Dynamics. 2008;8(4):1-19.
Carvalho M. The chord method. Vol Special Issue - Euler's tercentenary year Bol. Soc. Port. Mat. 2008.
2007
Carvalho M. Persistence of Bowen-Ruelle-Sinai measures. Discrete and Continuous Dynamical Systems. 2007;17(1):213-221.
2002
Carvalho M. Chaotic Newton's sequences. The Mathematical Intelligencer. 2002;24(1):1-5.
1999
Carvalho M. Commuting expanding dynamics. Portugaliae Mathematica. 1999;56(4):443-463.
1998
Carvalho M. First homoclinic tangencies on the boundary of Anosov diffeomorphisms. Discrete and Continuous Dynamical Systems. 1998;4(4):765-782.
Carvalho M. Contributions to a rigidity conjecture. Acta Applicandae Mathematicae. 1998;53:265-295.
1997
Carvalho M. Entropy dimension of dynamical systems. Portugaliae Mathematica. 1997;54(1):19-40.
1996
Carvalho M. The C^1 interior of zero entropy diffeomorphisms. Portugaliae Mathematica. 1996;53(1):89-95.
1993
Carvalho M. Bowen-Ruelle-Sinai measures for n-dimensional derived from Anosov diffeomorphisms. Ergodic Theory & Dynamical Systems. 1993;13:21-44.
1992
Carvalho M. Generic properties of C^r maps of the the interval, r >= 2. In: European Conference on Iteration Theory . Vol ECIT'91. World Scientific; 1992. 3. p. 39-51p.