Maria Carvalho's Annual Report
Year:
Brief description of the research activities:
Establishing of a concept of topological entropy and a variational principle for impulsive dynamical systems (which are discontinuous) defined on compact metric spaces. Description of generic properties linking area-preserving diffeomorphisms and reversibility. Study of a dichotomy of the extremal indices for hyperbolic automorphisms of the 2-torus.
Articles in international peer reviewed journals :
Papers in national peer reviewed journals :
Talks / Seminars / Courses :
Outreach activities:
Supervisor of Nuno Santos under the Gulbenkian Foundation Program New Talents in Mathematics. Co-author, with Manuel Arala Chaves, of three articles published at Atractor Association's regular column at Gazeta de Matemática. Author of a project on taxicab geometry for the Summer School at the Mathematics Department - FCUP (1-4 September 2015). Talk on «A problem proposed by Erdős concerning Egyptian fractions» for Inigma participants of the Diagonal Seminar (15th April 2015).