Shrinking-Targets for Non-Autonomous Systems
Dynamical Systems
2020-06-24 v1
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
Cite
@article{arxiv.1904.05848,
title = {Shrinking-Targets for Non-Autonomous Systems},
author = {Marco Antonio López},
journal= {arXiv preprint arXiv:1904.05848},
year = {2020}
}
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