楼梯多边形对称类的面积限制定律
Area limit laws for symmetry classes of staircase polygons
摘要:
我们推导出面积限制法的各种对称类的阶梯多边形的正方形晶格,在一个统一的合奏,对于固定的周长,每个多边形发生相同的概率。这补充了以前的研究由Leroux和Rassart,在这些类的面积和周长生成函数的显式表达式已经推导出来。
英文摘要:
We derive area limit laws for the various symmetry classes of staircase polygons on the square lattice, in a uniform ensemble where, for fixed perimeter, each polygon occurs with the same probability. This complements a previous study by Leroux and Rassart, where explicit expressions for the area and perimeter generating functions of these classes have been derived.
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