3 problems

Let $U\subset\mathbb R^k$ be the parameter space of the iterated function systems $\Phi_u$, and let $\mathfrak m$ be a slowly decaying $\sigma$-invariant ergodic probability measur…

Let $U\subset\mathbb R^k$ be an open parameter space, let $\Phi_u$ be the parameterised iterated function systems described above, and let $X_u$ be their attractors. For a slowly d…

Let $U$ be an open subset of $\mathbb{R}^k$, and for each $u\in U$ let $\Phi_u=\{\phi_{i,u}(x)=A_i(u)x+t_i(u)\}_{i=1}^l$ be an iterated function system with attractor $X_u$. Let…