SHOWING 1-10 OF 18 REFERENCES
Permutation Tableaux and the Dashed Permutation Pattern 32-1
- MathematicsElectron. J. Comb.
It is shown that permutation tableaux without inversions coincide with L-Bell tableaux introduced by Corteel and Nadeau and that the inversion number of T equals the number of occurrences of the dashed pattern 32–1 in the reverse complement of $\pi$.
Permutation tableaux and permutation patterns
- MathematicsJ. Comb. Theory, Ser. A
Combinatorics of the permutation tableaux of type B
Permutation tableaux are combinatorial objects related with permutations and various statistics on them. They appeared in connection with total positivity in Grassmannians, and stationary…
Combinatorics on permutation tableaux of type A and type B
- MathematicsEur. J. Comb.
On Some Properties of Permutation Tableaux
Abstract.We consider the relations between various permutation statistics and properties of permutation tableaux. We answer some of the open problems of Steingrímsson and Williams , in particular,…
Tableaux combinatorics for the asymmetric exclusion process
- MathematicsAdv. Appl. Math.
Tableaux combinatorics for the asymmetric exclusion process and Askey-Wilson polynomials
Introduced in the late 1960's, the asymmetric exclusion process (ASEP) is an important model from statistical mechanics which describes a system of interacting particles hopping left and right on a…