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arXiv 0710.4041math.COmath.PR
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楼梯多边形对称类的面积限制定律

Area limit laws for symmetry classes of staircase polygons

Christoph Richard, Uwe Schwerdtfeger, Bhalchandra Thatte

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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