4 problems

Consider the symbol sequences of periodic orbits of the map in the paper, with a period-doubled orbit obtained from a parent periodic orbit. When the sequences are ordered appropri…

Let $\rho$ be a positive integer, let $\bar{\lambda}$ be the average parameter value, and let $p_i(\bar{\lambda})$ for $1\leq i\leq 2^\rho$ denote the stable period-$2^\rho$ points…

Let $J\in\mathbf{F}_4\backslash\{0,1\}$, and let $\mathbf{u}$ be the $(1,J)$-period-doubling sequence. Period-doubling Stieltjes transcendence conjecture. The Stieltjes continued f…

Let $f:\mathbb{R} \times \mathbb{R}^n \to \mathbb{R}^n$ be a continuous family and let $U \subset \mathbb{R} \times \mathbb{R}^n$ be such that the periodic orbits in $U$ are contai…