3 papers
math.DS2025
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…
math.DS2024
Topological entropy and Hausdorff dimension of shrinking target sets
Xiaobo Hou, Xueting Tian, Yiwei Zhang
In this paper, we study the topological entropy and the Hausdorff dimension of a shrinking target set. We give lower and upper bounds of topological entropy and Hausdorff dimension…
math.DS2024
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…