arXiv:1904.05848 Abstract | arXiv Analytics

arXiv:1904.05848 [math.DS]Abstract References Reviews Resources

Shrinking-Targets for Non-Autonomous Systems

Published 2019-04-11Version 1

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

Comments: 26

Categories: math.DS

Subjects: 37A99

Keywords: non-autonomous systems, non-autonomous conformal iterated function systems, arbitrary dimensions, shrinking-target sets, hausdorff dimension

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