29 citations · 149 across the 38 of their papers we have counts for
4 papers · 2 filters
Diophantine approximation by orbits of Markov maps
Lingmin Liao, Stephane Seuret
In 1995, Hill and Velani introduced the shrinking targets theory. Given a dynamical system , they investigated the Hausdorff dimension of sets of points whose orbits are…
Multifractal analysis for expanding interval maps with infinitely many branches
Ai-Hua Fan, Thomas Jordan, Lingmin Liao +1
In this paper we investigate multifractal decompositions based on values of Birkhoff averages of functions from a class of symbolically continuous functions. This will be done for…
Level sets of multiple ergodic averages
Fan Ai-Hua, Lingmin Liao, Ji-Hua Ma
We propose to study multiple ergodic averages from multifractal analysis point of view. In some special cases in the symbolic dynamics, Hausdorff dimensions of the level sets of mu…
Dynamical properties of the negative beta transformation
Lingmin Liao, Wolfgang Steiner
We analyse dynamical properties of the negative beta transformation, which has been studied recently by Ito and Sadahiro. Contrary to the classical beta transformation, the density…