A Borel–Cantelli lemma for intermittent interval maps
نویسندگان
چکیده
منابع مشابه
The Dynamical Borel-cantelli Lemma for Interval Maps
Abstract. The dynamical Borel-Cantelli lemma for some interval maps is considered. For expanding maps whose derivative has bounded variation, any sequence of intervals satisfies the dynamical Borel-Cantelli lemma. If a map has an indifferent fixed point, then the dynamical Borel-Cantelli lemma does not hold even in the case that the map has a finite absolutely continuous invariant measure and s...
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Roberto Artuso†∗), Predrag Cvitanović †† and Gregor Tanner ††† ∗∗) †Dipartimento di Scienze Chimiche, Fisiche e Matematiche, Università dell’Insubria and I.N.F.M., Sezione di Como, Via Valleggio 11, 22100 Como, Italy ††Center for Nonlinear Science, School of Physics, Georgia Institute of Technology, Atlanta, GA 30332-0430, USA ††† Quantum Information Processing Group, Hewlett-Packard Laboratori...
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With each piecewise monotonic map τ of the unit interval, a dimension triple is associated. The dimension triple, viewed as a Z[t, t−1] module, is finitely generated, and generators are identified. Dimension groups are computed for Markov maps, unimodal maps, multimodal maps, and interval exchange maps. It is shown that the dimension group defined here is isomorphic to K0(A), where A is a C*-al...
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For continuous maps of an interval into itself we consider cycles (periodic orbits) that are non-reducible in the sense that there is no non-trivial partition into blocks of consecutive points permuted by the map. Among them we identify the miror ones. They are those whose existence does not imply existence of other non-reducible cycles of the same period. Moreover, we find minor patterns of a ...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2007
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/20/6/010