16 citations · 16 across the 5 of their papers we have counts for
5 papers
Phase transitions on periodic orbits in -transformation with a hole at zero
Derong Kong, Dantong Pu
Given , let . For let \[ τ_m(β):=\sup\left\{t\in[0,1): K_β(t)\textrm{ {contains a periodic orbit} of smallest peri…
On the intersection of Cantor set with the unit circle and some sequences
Kan Jiang, Derong Kong, Wenxia Li +1
For let be the self-similar set in generated by the iterated function system . In this paper, we investigate the inte…
Phase transitions for unique codings of fat Sierpinski gaskets with multiple digits
Yi Cai, Derong Kong, Wenxia Li +1
Given an integer and , let be the fat Sierpinski gasket in generated by the iterated function system $\left\{f_d(x)=\frac{x+d}β: d\i…
Periodic unique codings of fat Sierpinski gasket
Derong Kong, Yuhan Zhang
For let 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…
Multiple codings for self-similar sets with overlaps
Karma Dajani, Kan Jiang, Derong Kong +2
In this paper we consider a general class of self-similar sets with complete overlaps. Given a self-similar iterated function system $Φ=(E, \{f_i\}_{i=1}^m)\in\mathcal…