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

中文翻译：

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非自治系统的收缩目标

在目前的工作中，我们为任意维度和满足特定条件的非自治共形迭代函数系统的收缩目标集的 Hausdorff 维数建立了 Bowen 型公式。在维度 1 的情况下，我们还研究了线性系统的非线性扰动，并获得了扰动系统满足我们假设条件的充分条件