1 citations · 1 across the 6 of their papers we have counts for
6 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 ma…
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…
Fractal geometry of continued fractions with large coefficients and dimension drop problems
Lulu Fang, Carlos Gustavo Moreira, Yiwei Zhang
In 1928, Jarn\'ık \cite{Jar} obtained that the set of continued fractions with bounded coefficients has Hausdorff dimension one. Good \cite{Goo} observed a dimension drop phenomeno…
Solving the inverse problem for an ordinary differential equation using conjugation
Alfaro Vigo, D. G, Alvarez +6
We consider the following inverse problem for an ordinary differential equation (ODE): given a set of data points , find an ODE $x^\prime(t) = v (x)…
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…