魏尔腔的圆锥内禀体积

IF 0.7 Q3 STATISTICS & PROBABILITY

Modern Stochastics-Theory and Applications Pub Date : 2020-05-13 DOI:10.15559/22-vmsta206

Thomas Godland, Z. Kabluchko

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引用次数: 2

摘要

给出了${A_{n-1}}$、${B_{n}}$和${D_{n}}$型Weyl腔二次内禀体积公式的一个新的直接证明。这些公式用第一类斯特林数及其B类和d类类似数来表示二次曲线的内禀体积。证据包括明确确定Weyl室的内部和外部角度。

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Conic intrinsic volumes of Weyl chambers

A new, direct proof of the formulas for the conic intrinsic volumes of the Weyl chambers of types ${A_{n-1}}$, ${B_{n}}$ and ${D_{n}}$ is given. These formulas express the conic intrinsic volumes in terms of the Stirling numbers of the first kind and their B- and D-analogues. The proof involves an explicit determination of the internal and external angles of the faces of the Weyl chambers.

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来源期刊

Modern Stochastics-Theory and Applications STATISTICS & PROBABILITY-

CiteScore

1.30

自引率

50.00%

发文量

审稿时长

10 weeks