Derong Kong

activity

20162026

most citedMultiple codings for self-similar sets with overlaps

16 citations · 16 across the 5 of their papers we have counts for

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4 papers · 1 filter

math.DS2026

Phase transitions on periodic orbits in $β$ -transformation with a hole at zero

Derong Kong, Dantong Pu

Given $β \in (1, 2]$ , let $T_{β} : [0, 1) \to [0, 1); x \mapsto β x (mod 1)$ . For $m \in N$ let \[ τ_m(β):=\sup\left\{t\in[0,1): K_β(t)\textrm{ {contains a periodic orbit} of smallest peri…

math.DS2025

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 $β \in (1, M + 1)$ , let $S_{β, M}$ be the fat Sierpinski gasket in $R^{2}$ generated by the iterated function system $\left\{f_d(x)=\frac{x+d}β: d\i…

math.DS2023

Periodic unique codings of fat Sierpinski gasket

Derong Kong, Yuhan Zhang

For $β > 1$ let $S_{β}$ be the Sierpinski gasket generated by the iterated function system \[\left\{f_{α_0}(x,y)=\Big(\frac{x}β,\frac{y}β\Big), \quad f_{α_1}(x,y)=\Big(\frac{x+1}β, \fr…

math.DS2016★ 16 cited

Multiple codings for self-similar sets with overlaps

Karma Dajani, Kan Jiang, Derong Kong +2

In this paper we consider a general class $E$ of self-similar sets with complete overlaps. Given a self-similar iterated function system $Φ=(E, \{f_i\}_{i=1}^m)\in\mathcal…

Phase transitions on periodic orbits in β-transformation with a hole at zero

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

Periodic unique codings of fat Sierpinski gasket

Multiple codings for self-similar sets with overlaps

Phase transitions on periodic orbits in $β$ -transformation with a hole at zero