We develop parametric classes of covariance functions on linear networks and their extension to graphs with Euclidean edges, that is, graphs with edges viewed as line segments or more general sets ...

Imagine 100 dots scattered in front of you. In a haphazard variation on connect-the-dots, start drawing lines between the points. How many lines can you draw without producing a triangle? A square? An ...

In this paper we offer a method for constructing functions with many gaps in their supports and in the supports of their Fourier transform. As a result we answer a question of Benedicks [Ben1] and we ...