Shrinking-Targets for Non-Autonomous Systems
arXiv:1904.05848 · doi:10.1088/1361-6544/ab7a00
Abstract
In the present work we establish a Bowen-type formula for the Hausdorff dimension of shrinking-target sets for non-autonomous conformal iterated function systems in arbitrary dimensions and satisfying certain conditions. In the case of dimension 1 we also investigate non-linear perturbations of linear systems and obtain sufficient conditions under which the perturbed systems satisfy the conditions in our hypotheses
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