4 papers
On fast Lyapunov spectra for Markov-Rényi maps
Lulu Fang, Carlos Gustavo Moreira, Zhichao Wang +1
In this paper, we study the multifractal analysis for Markov-Rényi maps, which form a canonical class of piecewise differentiable interval maps, with countably many branches and m…
Stability of compact actions and a result on divided differences
Carlos Gustavo Moreira, Nicolau C. Saldanha
We study smooth locally free actions of on manifolds of dimension . We are interested in compact orbits and in compact actions: actions with all orbits com…
Graphs of continuous but non-affine functions are never self-similar
Carlos Gustavo Moreira, Jinghua Xi, Yiwei Zhang
Bandt and Kravchenko \cite{BandtKravchenko2010} proved that if a self-similar set spans , then there is no tangent hyperplane at any point of the set. In particular, this ind…
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…