Random iterations of homeomorphisms on the circle
نویسندگان
چکیده
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 ...
متن کاملChain groups of homeomorphisms of the interval and the circle
We introduce and study the notion of a chain group of homeomorphisms of a one-manifold, which is a certain generalization of Thompson’s group F. Precisely, this is a group finitely generated by homeomorphisms, each supported on exactly one interval in a chain, and subject to a certain mild dynamical condition. The resulting class of groups exhibits a combination of uniformity and diversity. On ...
متن کاملLimit Laws of Entrance times for Homeomorphisms of the Circle
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...
متن کاملInvariant measures for quasiperiodically forced circle homeomorphisms
We study quasiperiodically forced circle homeomorphisms and derive a basic classification with respect to the invariant ergodic measures for such systems: Either there exists an invariant graph and every invariant ergodic measure is associated to some invariant graph, or the system is uniquely ergodic. This immediately verifies an observation which is well-known from numerical studies, namely t...
متن کاملRandom Interval Homeomorphisms
We investigate homeomorphisms of a compact interval, applied randomly. We consider this system as a skew product with the two-sided Bernoulli shift in the base. If on the open interval there is a metric in which almost all maps are contractions, then (with mild additional assumptions) there exists a global pullback attractor, which is a graph of a function from the base to the fiber. It is also...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Modern Stochastics: Theory and Applications
سال: 2017
ISSN: 2351-6046,2351-6054
DOI: 10.15559/17-vmsta86