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 = mx + c\).

We show that the critical probability for the frog model on a graph is not a monotonic function of the graph. This answers a question of Alves, Machado and Popov. The nonmonotonicity is unexpected as ...

We study the pluripolar hull of the graph of a holomorphic function f, defined on a domain D ⊂ ℂ outside a polar set A ⊂ D. This leads to a theorem that describes under what conditions f is nowhere ...