Squirals and beyond: substitution tilings with singular continuous spectrum
نویسندگان
چکیده
منابع مشابه
Operators with Singular Continuous Spectrum
The Baire category theorem implies that the family, F,of dense sets G6 in a fixed metric space, X , is a candidate for generic sets since it is closed under countable intersections; and if X is perfect (has no isolated point), then A E F has uncountable intersections with any open ball in X. There is a long tradition of soft arguments to prove that certain surprising sets are generic. For examp...
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Introduction Substitution tilings have been discussed now for at least twenty-five years, initially motivated by the construction of hierarchical non-periodic structures in the Euclidean plane [?, ?, ?, ?]. Aperiodic sets of tiles were often created by forcing these structures to emerge. Recently, this line was more or less completed, with the demonstration that (essentially) every substitution...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2013
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2012.191