Topological conjugacy and transitivity for a class of piecewise monotone maps of the interval
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چکیده
منابع مشابه
Topological Conjugacy and Transitivity for a Class of Piecewise Monotone Maps of the Interval
We say that a continuous map / of a compact interval to itself is linear Markov if it is piecewise linear, and the set of all fk(x), where k > 0 and x is an endpoint of a linear piece, is finite. We provide an effective classification, up to topological conjugacy, for linear Markov maps and an effective procedure for determining whether such a map is transitive. We also consider expanding Marko...
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We consider piecewise monotone interval mappings which are topologically mixing and satisfy the Markov property. It has previously been shown that the invariant densities of the natural approximations converge exponentially fast in uniform pointwise topology to the invariant density of the given map provided its derivative is piecewise Lipshitz continuous. We provide an example of a map which i...
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15 صفحه اولRoots of Continuous Piecewise Monotone Maps of an Interval
We shall consider slightly more general problems. Namely, we shall investigate the existence of continuous: piecewise monotone, piecewise strictly monotone, and piecewise linear n-th roots of interval maps which have a continuous n-th root. Here by an n-th root of f we mean a map g such that f = g (g is the n-th iterate of g). A continuous map f : I → J , where I, J are closed intervals, is pie...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1987
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1987-0871677-x