2 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 ma…
math.NT2024
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…