Dispersion properties of ergodic translations
نویسندگان
چکیده
منابع مشابه
Dispersion properties of ergodic translations
If the rotation angle α is irrational, then ζ is generating for T (see [4]) and the partition ζn = ζ ∨Tζ ∨···∨Tn−1ζ is made out of 2n arcs. This can be easily realized by induction: when passing from ζn−1 to ζn one has to add to the endpoints of the arcs belonging to ζn−1 the two new points Tn(0) and Tn(1/2) (for rational α, say α = p/q, the partition ζn has precisely 2q arcs for all n≥ q). Thu...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2006
ISSN: 0161-1712,1687-0425
DOI: 10.1155/ijmms/2006/20568