5 problems

Let $\mathcal{F}=\{X; f_{\lambda}\mid\lambda\in\Lambda\}$ be a sensitive minimal iterated function system (IFS) map with the shadowing property. Let $\alpha$ be a sequence of prime…

Let $X$ be a space, let $f:X\rightarrow X$ be a sensitive minimal map with the shadowing property, let $\alpha$ be a sequence of prime numbers, let $\Delta_{\alpha}$ be the associa…

Let $E_{\bar d,\bar p}$ be the fibered filled Julia set associated with the sequences $\bar d$ and $\bar p$, and let $\sigma_p(c_0,\bar d,\bar p)$ denote the point spectrum of the…

Let $S$ be the stochastic adding-machine operator on $l^1$, with numeration data $\bar d=(d_n)_{n\geq 0}$ and probabilities $\bar p=(p_n)_{n\geq 1}$. If … then the chain is transie…

Let $S$ be the stochastic adding-machine operator on $l^1$, with numeration data $\bar d=(d_n)_{n\geq 0}$ and probabilities $\bar p=(p_n)_{n\geq 1}$. Define … If…