Abstract We consider skew tent maps Tα, β(x) such that (α,β)∈[0,1]2 is the turning point of TTα, β, that is, Tα, β = βα $\begin{array}{} \frac{{\beta}}{{\alpha}} \end{array} $x for 0≤ x ≤ α and Tα,… Expand

Suppose that $G$ is a compact Abelian topological group, $m$ is the Haar measure on $G$ and $f:G\rightarrow \mathbb{R}$ is a measurable function. Given $(n_{k})$ , a strictly monotone increasing… Expand

We prove that the critical point and the point 1 have dense orbits for Lebesgue-a.e., parameter pairs in the two-parameter skew-tent family and generalised β-transformations. As an application, we… Expand

This paper provides an efficient new method of finding the value of the Lyapunov exponent of these maps by using the slope of the tangent to the isentrope of skew tent maps.Expand