Abstract : Eulerian numbers (and ''Alternate Eulerian numbers'') are often interpreted as distributions of statistics defined over the Symmetric group. The main purpose of this paper is to define a way to represent permutations that provides some other combinatorial interpretations of these numbers. This representation uses a one-to-one correspondence between permutations and the so-called \emphsubexceedant functions.
https://hal.inria.fr/hal-00958950
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Submitted on : Thursday, March 13, 2014 - 4:51:38 PM Last modification on : Friday, March 27, 2020 - 3:44:50 AM Long-term archiving on: : Friday, June 13, 2014 - 12:03:37 PM