Derong Kong

collaborators

3 papers

math.DS2026

Phase transitions on periodic orbits in $I^^{2}$ -transformation with a hole at zero

Derong Kong, Dantong Pu

Given $I^^{2} \in (1, 2]$ , let $T_{I^}^{2} : [0, 1) \to [0, 1); x \mapsto I^^{2} x (mod 1)$ . For $m \in N$ let \[ Ï_m(Î²):=\sup\left\{t\in[0,1): K_Î²(t)\textrm{ {contains a periodic orbit} of smalles…

math.DS2026

Phase transitions for unique codings of fat Sierpinski gaskets with multiple digits

Yi Cai, Derong Kong, Wenxia Li +1

Given an integer $M \geq 1$ and $I^^{2} \in (1, M + 1)$ , let $S_{I^^{2}, M}$ be the fat Sierpinski gasket in $R^{2}$ generated by the iterated function system $\left\{f_d(x)=\frac{x+d}Î²:…

math.CA2025

On the intersection of Cantor set with the unit circle and some sequences

Kan Jiang, Derong Kong, Wenxia Li +1

For $I^» \in (0, 1/2)$ let $K_{I^} »$ be the self-similar set in $R$ generated by the iterated function system ${f_{0} (x) = I^» x, f_{1} (x) = I^» x + 1 - I^»}$ . In this paper, we investigate the…

Phase transitions on periodic orbits in I^2-transformation with a hole at zero

Phase transitions for unique codings of fat Sierpinski gaskets with multiple digits

On the intersection of Cantor set with the unit circle and some sequences

Phase transitions on periodic orbits in $I^^{2}$ -transformation with a hole at zero