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On the hitting depth in the dynamical system of continued fractions

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  • Peng, Li

Abstract

Let ([0,1),T) be the dynamical system of continued fraction expansions with T the Gauss map. For any irrational point y∈[0,1), let In(y) be the cylinder of order n containing y. For any x∈[0,1), define the maximal hitting depth of x to the irrational point y asRn(x,y)≔max{t∈N0:Ti(x)∈It(y)for some0⩽i

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  • Peng, Li, 2014. "On the hitting depth in the dynamical system of continued fractions," Chaos, Solitons & Fractals, Elsevier, vol. 69(C), pages 22-30.
    • Handle: RePEc:eee:chsofr:v:69:y:2014:i:c:p:22-30
    DOI: 10.1016/j.chaos.2014.09.003
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