1 citations · 2 across the 3 of their papers we have counts for
6 papers
Diophantine approximation by rational numbers of certain parity types
Dong Han Kim, Seul Bee Lee, Lingmin Liao
For a given irrational number, we consider the properties of best rational approximations of given parities. There are three different kinds of rational numbers according to the pa…
Hausdorff dimensions of affine multiplicative subshifts
Jung-Chao Ban, Wen-Guei Hu, Guan-Yu Lai +1
We calculate the Minkowski and Hausdorff dimensions of affine multiplicative subshifts on .
Expanding property and statistical laws for -adic subhyperbolic rational maps
Shilei Fan, Lingmin Liao, Hongming Nie +1
Let be a finite extension of the field of -adic numbers. A rational map of degree at least is subhyperbolic if each critical point in the $\ma…
Rational map on the projective line over
Shilei Fan, Lingmin Liao
The dynamical structure of the rational map on the projective line over the field of -adic numbers is described for .
Dynamics of the square mapping on the ring of -adic integers
Shilei Fan, Lingmin Liao
For each prime number , the dynamical behavior of the square mapping on the ring of -adic integers is studied. For , there are only attracting fixed point…
Multifractal analysis of some multiple ergodic averages for the systems with non-constant Lyapunov exponents
Lingmin Liao, Michal Rams
We study certain multiple ergodic averages of an iterated functions system generated by two contractions on the unit interval. By using the dynamical coding of…