The Spectrum of the Quaquaversal Operator is Real
Spectral Theory
2022-03-15 v2
Abstract
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.
Cite
@article{arxiv.2202.09505,
title = {The Spectrum of the Quaquaversal Operator is Real},
author = {Josiah Sugarman},
journal= {arXiv preprint arXiv:2202.09505},
year = {2022}
}