D. Kong

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math.DS2026

Critical values for the $I^^{2}$ -transformation with a hole at $0$

Pieter Allaart, Derong Kong

Given $I^^{2} \in (1, 2]$ , let $T_{I^}^{2}$ be the $I^^{2}$ -transformation on the unit circle $[0, 1)$ such that $T_{I^}^{2} (x) = I^^{2} x (mod 1)$ . For each $t \in [0, 1)$ let $K_{I^}^{2} (t)$ be the survivor set consisti…

math.DS2024

On a class of self-similar sets which contain finitely many common points

Kan Jiang, Derong Kong, Wenxia Li +1

For $I^» \in (0, 1/2]$ let $K_{I^} » \subset R$ be a self-similar set generated by the iterated function system ${I^» x, I^» x + 1 - I^»}$ . Given $x \in (0, 1/2)$ , let $I^ (x)$ be the set of $…

Critical values for the I^2-transformation with a hole at 0

On a class of self-similar sets which contain finitely many common points

Critical values for the $I^^{2}$ -transformation with a hole at $0$