2 problems

Let $f_i(x)=\lambda_i x+b_i$ be an affine iterated function system on the real line, and suppose that $|\lambda_i|\geq 1$ for at least one $i\in\{1,\dots,m\}$. Let $(\Omega,\nu)$ b…

Let $\{S_i\}_{i\in\mathcal{I}}$ be an IFS in $\R$ with transition graph $\mathcal{G}$. The weak separation conjecture. The IFS $\{S_i\}_{i\in\mathcal{I}}$ satisfies the weak separa…