Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1889025 | Chaos, Solitons & Fractals | 2014 | 9 Pages |
Abstract
Let ([0,1),T) be the dynamical system of continued fraction expansions with T the Gauss map. For any irrational point yâ[0,1), let In(y) be the cylinder of order n containing y. For any xâ[0,1), define the maximal hitting depth of x to the irrational point y asRn(x,y)âmax{tâN0:Ti(x)âIt(y)for some0⩽i
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Li Peng,