Additionally, foundational investigations into the complexity of approximating complex-valued partition functions have reinforced the pivotal role of these functions in bridging statistical ...

‘Higher-order functions’ is a fancy term for functions that take other functions as arguments or that return functions. Very powerful!

A function can be illustrated on a graph – points are plotted as coordinates and joined by either a straight line or a smooth curve. A linear function has an equation of the form y = m x + c.

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 ...

The statistical physics of graphs and partition functions represents a vibrant intersection of graph theory, statistical mechanics and computational complexity. By summing over an ensemble of ...