生长Young图的随机动力学及其极限
Stochastic Dynamics of Growing Young Diagrams and Their Limit Shapes
摘要：
研究了一类通过添加单元胞生长的满足相邻列高度差为$\geq r$的Young图.在长的时间限制，适当地重新缩放的杨图接近极限形状，我们计算每个整数$r\geq 0$。我们还确定了极限形状的“扩散”增长的杨图满足相同的约束和发展通过添加和删除的细胞进行等速率。
英文摘要：
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 determine limit shapes of `diffusively' growing Young diagrams satisfying the same constraint and evolving through the addition and removal of cells that proceed with equal rates.
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