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We comment on some recent investigations on the electronic properties ofmodels associated to the Thue-Morse chain and point out that their conclusionsare in contradiction with rigorously proven theorems and indicate some of thesources of these misinterpretations. We briefly review and explain the currentstatus of mathematical results in this field and discuss some conjectures andopen problems.Comment: 15,CPT-94/P.3003,tex,

Remarks on the spectral properties of tight-binding and Kronig-Penney models with substitution sequences