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On the distribution of parameters in random weighted staircase tableaux
13 Apr 2014
Abstract
In this paper, we study staircase tableaux, a combinatorial object introduced
due to its connections with the asymmetric exclusion process (ASEP) and
Askey-Wilson polynomials. Due to their interesting connections, staircase
tableaux have been the object of study in many recent papers. More specific to
this paper, the distribution of various parameters in random staircase tableaux
has been studied. There have been interesting results on parameters along the
main diagonal, however, no such results have appeared for other diagonals. It
was conjectured that the distribution of the number of symbols along the kth
diagonal is asymptotically Poisson as k and the size of the tableau tend to
infinity. We partially prove this conjecture; more specifically we prove it for
the second main diagonal.
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Details
- Title
- On the distribution of parameters in random weighted staircase tableaux
- Creators
- Pawel HitczenkoAmanda Parshall
- Resource Type
- Preprint
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991020531846204721