We introduce and characterise grid classes, which are natural generalisations of other well-studied permutation classes. This characterisation allows us to give a new, short proof...
The set of cycle lengths of almost all permutations in Sn are "Poisson distributed": we show that this remains true even when we restrict the number of cycles in the per...
We constructively prove that the partially ordered set of finite permutations ordered by deletion of entries contains an infinite antichain. In other words, there exists an infini...