- Series
- Stochastics Seminar
- Time
- Thursday, September 10, 2009 - 3:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 269
- Speaker
- Christian Houdr̩ РGeorgia Tech
- Organizer
- Yuri Bakhtin
Please Note: Given a random word of size n whose letters are drawn independently from an ordered alphabet of size m, the fluctuations of the shape of the corresponding random RSK Young tableaux are investigated, when both n and m converge together to infinity. If m does not grow too fast and if the draws are uniform, 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, i.e., of the length of the longest increasing subsequence of the random word, towards the Tracy-Widom distribution.