Fran\c {c}ois Bergeron, UQAM, Montreal

A class of formal power series helps enumerate Young path

We study different aspects of the enumeration of standard paths in the poset of compositions of integers. We show that many problems similar to those considered in the poset of partitions of an integer become simpler in this context. We give many explicit formulas for generating functions of standard paths in this poset and interesting subposets.