Derong Kong

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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:…

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

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