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Area Statistics for Large Oscillating Tableaux
- Publication Year :
- 2020
-
Abstract
- In this note we show that the area of the partitions making up an oscillating tableaux is described by a random walk on the first quadrant of $\mathbb{Z}^2$ with certain position dependent weights. We are able to recursively calculate the moments of the walk. As the length of the oscillating tableaux becomes large we show that this random walk converges to a Gaussian stochastic process.
- Subjects :
- Mathematics - Combinatorics
Mathematics - Probability
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2010.10093
- Document Type :
- Working Paper