@misc{BeckusBellissardDeNittis2019,
  author    = {Beckus, Siegfried and Bellissard, Jean and De Nittis, Giuseppe},
  title     = {Corrigendum to: Spectral continuity for aperiodic quantum systems I. General theory. - [Journal of functional analysis. - 275 (2018), 11, S. 2917 - 2977]},
  series = {Journal of functional analysis},
  volume    = {277},
  journal   = {Journal of functional analysis},
  number    = {9},
  publisher = {Elsevier},
  address   = {San Diego},
  issn      = {0022-1236},
  doi       = {10.1016/j.jfa.2019.06.001},
  pages     = {3351 -- 3353},
  year      = {2019},
  abstract  = {A correct statement of Theorem 4 in [1] is provided. The change does not affect the main results.},
  language  = {en}
}
@article{BeckusBellissardDeNittis2020,
  author    = {Beckus, Siegfried and Bellissard, Jean and De Nittis, Giuseppe},
  title     = {Spectral continuity for aperiodic quantum systems},
  series = {Journal of mathematical physics},
  volume    = {61},
  journal   = {Journal of mathematical physics},
  number    = {12},
  publisher = {American Institute of Physics},
  address   = {Melville, NY},
  issn      = {0022-2488},
  doi       = {10.1063/5.0011488},
  pages     = {19},
  year      = {2020},
  abstract  = {This work provides a necessary and sufficient condition for a symbolic dynamical system to admit a sequence of periodic approximations in the Hausdorff topology. The key result proved and applied here uses graphs that are called De Bruijn graphs, Rauzy graphs, or Anderson-Putnam complex, depending on the community. Combining this with a previous result, the present work justifies rigorously the accuracy and reliability of algorithmic methods used to compute numerically the spectra of a large class of self-adjoint operators. The so-called Hamiltonians describe the effective dynamic of a quantum particle in aperiodic media. No restrictions on the structure of these operators other than general regularity assumptions are imposed. In particular, nearest-neighbor correlation is not necessary. Examples for the Fibonacci and the Golay-Rudin-Shapiro sequences are explicitly provided illustrating this discussion. While the first sequence has been thoroughly studied by physicists and mathematicians alike, a shroud of mystery still surrounds the latter when it comes to spectral properties. In light of this, the present paper gives a new result here that might help uncovering a solution.},
  language  = {en}
}