Random constructions for translates of non-negative functions

Zoltán Buczolich, Bruce Hanson, Balázs Maga +1

Suppose $\Lambda$ is a discrete infinite set of nonnegative real numbers. We say that $\Lambda$ is type $2$ if the series $s(x)={\sum }_{\lambda \in \Lambda }f(x+\lambda )$ does not satisfy a zero-one law. This means…