#Please do not post homework

#Guy Adami, 2026-04-05, Assignment 19


I plan on working on Project 4: Experiment with the Robinson-Schenstead algorithm, combining it with the Bootstrap method to find statistical properties of permutations reflected by the RS algorithm.

My plan to accomplish this by creating a list of random permutations of n that is sufficiently large with respect to all permutations of n that will allow for proper bootstrap methods.

Using this last as my sample space, I plan on creating histograms of important parameters of the Standard Young Tableaux formed formed from these permutations. Some such parameters are shape (length of rows, number of rows, etc.) Hook length values, number of bumps to create the young tableaux, average value of position (x,y), and more that I have not yet thought of.

Through analyzing these parameters and using a sufficient amount of data points for the bootstrap method, the goal is to gain insights into how SYT are formed and their average characteristics.