Fixed-Parameter Extrapolation and Aperiodic Order

Stephen Fenner, Frederic Green, Steven Homer

Fix any $\lambda \in \mathbb{C}$. We say that a set $S\subseteq \mathbb{C}$ is $\lambda$-$convex$ if, whenever $a$ and $b$ are in $S$, the point $(1-\lambda )a+\lambda b$ is also in $S$. If $S$ is also (topolo…