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math.MG2016
A generalization of Marstrand's theorem and some geometric applications
Carlos Gustavo Moreira, Sergio Augusto Romaña Ibarra, Waliston Luiz Silva
In this paper we prove using quite elementary methods, with a combinatorial nature, two general results related to Marstrand's projection theorem in a quite general formulation ove…
math.DS2016
Continuity of Hausdorff dimension across generic dynamical Lagrange and Markov spectra
Aline Cerqueira, Carlos Matheus, Carlos Gustavo Moreira
Let be a smooth area-preserving diffeomorphism of a compact surface and let be a horseshoe of with Hausdorff dimension strictly smaller than one. Given a smoo…