We give complete descriptions of the set square roots certain classical operators, often providing specific formulas. The operators included in this discussion are unilateral shift, Volterra operator, compress

This survey deals with two-sided matching markets where one set of agents (workers/residents) has to be matched with another set of agents (firms/hospitals). We first give a short overview of a selection of classical results. Then, we review recent contributions to a complex and representative case of matching with complementarities, namely matching markets with couples. We discuss contribution...