2012/02/14 by Sandrine Dasse–Hartaut, Sandrine Dasse-Hartaut, Dasse-Hartaut, Sandrine +3
Mathematics · #05A16 #60C05 #60F05 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Random Matrices and Applications #Stochastic processes and statistical mechanics #math.CO #msc:05A16 #msc:60C05 #msc:60F05
paper · pdf · doi:10.48550/arxiv.1202.3092
arxiv created 2012/02/14 · openalex publication_date 2012/02/14 · arxiv updated 2012/02/15 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
In this paper we study a relatively new combinatorial object called staircase tableaux. Staircase tableaux were introduced by Corteel and Williams in the connection with Asymmetric Exclusion Process and has since found interesting connections with Askey - Wilson polynomials. We develop a probabilistic approach that allows us to analyze several parameters of a randomly chosen staircase tableaux of a given size. In particular, we obtain limiting distributions for statistics associated with appearances of Greek letters in staircase. tableaux.