O ct 2 00 5 Pure Point Diffractive Sets are Model Sets in Substitutions
نویسنده
چکیده
It has been known that regular model sets are pure point diffractive. But the converse has been a conjecture. We show here that the converse is also true for substitution point sets without the condition of regularity, that is to say, substitution point sets are model sets if and only if they are pure point diffractive. We introduce a new notion of coincidence which connects model sets and pure point diffractive point sets in substitutions.
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تاریخ انتشار 2005