Anisse Kasraoui

Ascents and descents in 01-fillings of moon polyominoes

We put recent results on the symmetry of the joint distribution of the numbers of crossings and nestings of two edges over matchings, set partitions and linked partitions in the larger context of enumeration of increasing and decreasing sequences of length 2 in fillings of moon polyominoes.

Euler-Mahonian Statistics on Ordered Set Partitions

An ordered partition with

The combinatorics of Al-Salam-Chihara q-Laguerre polynomials

k

Euler--Mahonian statistics on ordered set partitions (II)

blocks of

The most frequent peak set of a random permutation

[n]:=\{1,2,\ldots, n\}

On the limiting distribution of some numbers of crossings in set partitions

is a sequence of

On the symmetry of ascents and descents over 01-fillings of moon polyominoes

k

Increasing and Decreasing Sequences of Length Two in 01-Fillings of Moon Polyominoes

disjoint and nonempty subsets, called blocks, whose union is

Enumeration of symmetric centered rhombus tilings of a hexagon

[n]

New Wilf-equivalence results for dashed patterns

. Clearly the number of such ordered partitions is