منابع مشابه
Homeomorphisms of the Circle without Periodic Points!
Homeomorphisms of the circle were first considered by Poincare* who used them to obtain qualitative results for a class of differential equations on the torus. He classified those which have a dense orbit by showing that they are topologically equivalent to a rotation through an angle incommensurable with IT. However, Denjoy showed that there exist homeomorphisms of the circle without periodic ...
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Given a homeomorphism f of the circle with irrational rotation number and a descending chain of renormalization intervals J n of f, we consider for each interval the point process obtained by marking the times for the orbit of a point in the circle to enter J n. Assuming the point is randomly chosen by the unique invariant probability measure of f, we obtain necessary and suucient conditions wh...
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ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2010
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2010.14.2405