P. Allaart

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20242026

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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.DS2025

Entropy plateaus, transitivity and bifurcation sets for the $I^^{2}$ -transformation with a hole at $0$

Pieter Allaart, Derong Kong

Given $I^^{2} > 1$ , 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 consisting of…

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

Entropy plateaus, transitivity and bifurcation sets for the I^2-transformation with a hole at 0

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

Entropy plateaus, transitivity and bifurcation sets for the $I^^{2}$ -transformation with a hole at $0$