Deformation of finite-volume hyperbolic Coxeter polyhedra, limiting growth rates and Pisot numbers
Deformation of finite-volume hyperbolic Coxeter polyhedra, limiting growth rates and Pisot numbers
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有限体积双曲 Coxeter 多面体的变形，限制增长率和皮索数
DOI：
10.1016/j.ejc.2012.04.003
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
A. Kolpakov
中科院分区：
文献类型：
--
作者：
A. Kolpakov
研究了三维及以上双曲空间上Coxeter群的生长函数实数极点与代数整数之间的联系。特别地，有限体积极限多面体的紧双曲Coxeter群的基本域的一定几何收敛性提供了Salem数与Pisot数之间的关系。几个例子总结了这项工作。
A connection between real poles of the growth functions for Coxeter groups acting on hyperbolic space of dimensions three and greater and algebraic integers is investigated. In particular, a certain geometric convergence of fundamental domains for cocompact hyperbolic Coxeter groups with finite-volume limiting polyhedron provides a relation between Salem numbers and Pisot numbers. Several examples conclude this work.