科研之友
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摘要
Given a random word of size n whose letters are drawn independently from an ordered alphabet of size in, the fluctuations of the shape of the random RSK Young tableaux are investigated, when n and m converge together to infinity. If in does not grow too fast and if the draws are uniform, then the limiting shape is the same as the limiting spectrum of the GUE. In the non-uniform case, a control of both highest probabilities will ensure the convergence of the first row of the tableau toward the Tracy-Widom distribution.
- 出版日期2010-5
