论文标题

Quaquaversal操作员的频谱是真实的

The Spectrum of the Quaquaversal Operator is Real

论文作者

Sugarman, Josiah

论文摘要

与Quaquaversal瓷砖相关的Hecke运算符,这是Conway和Radin引入的高度各向异性瓷砖,显示出具有真实频谱。回答Draco,Sadun和Van Wieren的问题。我们还明确计算了该操作员特征值的大约四分之三。

The Hecke operator associated with the Quaquaversal tiling, a highly anisotropic tiling introduced by Conway and Radin, is shown to have a real spectrum. Answering a question of Draco, Sadun, and Van Wieren. We also explicitly compute about three quarters of this operator's eigenvalues.

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