Topological dynamics of piecewise λ-affine maps

Arnaldo Nogueira, Benito Pires, Rafael A. Rosales

Let $-1<\lambda <1$ and $f:[0,1)\to \mathbb{R}$ be a piecewise $\lambda$-affine map, that is, there exist points $0=c_0<c_1<\cdots <c_{n-1}<c_n=1$ and real numbers $b_1,\dots ,b_n$ such that $f(…