Stochastic dynamics of growing Young diagrams and their limit shapes
Stochastic dynamics of growing Young diagrams and their limit shapes
We investigate a class of Young diagrams growing via the addition of unit cells and satisfying the constraint that the height difference between adjacent columns $\geq r$. In the long time limit, appropriately re-scaled Young diagrams approach a limit shape that we compute for each integer $r\geq 0$. We also …