An iterated random function with Lipschitz number one

Aaron Abrams, Henry Landau, Zeph Landau +2

Consider the set of functions $f_{\hat{I}}¸(x)=|\hat{I}¸-x|$ on $\mathbb{R}$. Define a Markov process that starts with a point $x_0\in \mathbb{R}$ and continues with $x_{k+1}=f_{θ_{k+1}}(x_{k}…