## One Citation

### Block decomposition and statistics arising from permutation tableaux

- MathematicsEur. J. Comb.
- 2022

## References

SHOWING 1-10 OF 18 REFERENCES

### Permutation Tableaux and the Dashed Permutation Pattern 32-1

- MathematicsElectron. J. Comb.
- 2011

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
- 2007

### Combinatorics of the permutation tableaux of type B

- Mathematics
- 2012

Permutation tableaux are combinatorial objects related with permutations and various statistics on them. They appeared in connection with total positivity in Grassmannians, and stationary…

### On Some Properties of Permutation Tableaux

- Mathematics
- 2007

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 [8], in particular,…

### Tableaux combinatorics for the asymmetric exclusion process

- MathematicsAdv. Appl. Math.
- 2007

### Tableaux combinatorics for the asymmetric exclusion process and Askey-Wilson polynomials

- Mathematics
- 2009

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…

### Total positivity for cominuscule Grassmannians

- Mathematics
- 2007

In this paper we explore the combinatorics of the nonneg- ative part (G/P )≥0 of a cominuscule Grassmannian. For each such Grassmannian we define Γ — certain fillings of generalized Young diagrams…