### Resurgence

In theoretical physics, **resurgence** is used to treat infinities in quantum field theory.

##### Explanation

Resurgent functions are divergent power series whose Borel transforms converge in a neighborhood of the origin and give rise, by means of analytic continuation, to (usually) multi-valued functions. These functions have merely isolated singularities without singularities that form cuts with dimension one or greater.

##### Example 1

## HistoryThe French mathematician Jean Écalle developed a theory of resurgent functions in 1984. |