Paper

Shrinking targets for non-autonomous systems

Published 29 May 2020 • © 2020 IOP Publishing Ltd & London Mathematical Society
, , Citation Marco Antonio López 2020 Nonlinearity 33 3568 DOI 10.1088/1361-6544/ab7a00

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1 Department of Mathematics & Statistics, Wake Forest University, NC 27106, United States of America

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Dates

  1. Received 12 April 2019
  2. Revised 3 December 2019
  3. Accepted 25 February 2020
  4. Published

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0951-7715/33/7/3568

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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10.1088/1361-6544/ab7a00